Minimal Spanning Trees
|
|
- Ashley George
- 5 years ago
- Views:
Transcription
1 Minimal Spanning Trees Lecture 33 Sections Robb T. Koether Hampden-Sydney College Wed, Apr 11, 20 Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 1 / 17
2 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 2 / 17
3 Outline 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 3 / 17
4 Networks and Trees Definition (Network) A network is a connected graph. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 4 / 17
5 Networks and Trees Definition (Network) A network is a connected graph. Definition (Tree) A tree is a network that contains no circuits. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 4 / 17
6 Properties of Trees If T is a tree with N vertices, then T has exactly N 1 edges. If any edge of T is removed, then the resulting graph is not connected. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 5 / 17
7 Properties of Trees Add edges to connect the graph without making a circuit. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 6 / 17
8 Properties of Trees Erase edges to remove circuits without disconnecting the graph. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 7 / 17
9 Properties of Trees Theorem A graph G with N vertices is a tree if any two of the following three properties hold. (1) T has exactly N 1 edges. (2) T is connected. (3) T contains no circuits. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 8 / 17
10 Outline 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 9 / 17
11 Examples Printer Server Printer Suppose we want to connect devices in a network. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
12 Examples 10 Printer Server Printer We want all the devices connected to each other. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
13 Examples 10 Printer Server Printer But no two devices need to be connected by more than a single path. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
14 Examples 10 Printer Server Printer Given the distances, which lines do we keep? Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
15 Examples 10 Printer Server Printer The best choice is the tree of minimal total length Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
16 Examples 10 Printer Server 8 Printer The total length of this tree is 61 Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
17 Minimal Spanning Trees Definition (Spanning Tree) Given a graph G, a spanning tree of G is a subgraph T that is a tree and includes all the vertices of G. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
18 Minimal Spanning Trees Definition (Spanning Tree) Given a graph G, a spanning tree of G is a subgraph T that is a tree and includes all the vertices of G. Definition (Minimal Spanning Tree) Given a weighted graph G, a minimal spanning tree of G is a spanning tree T that has the smallest total weight of all possible spanning trees of G. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
19 Outline 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
20 Kruskal s Algorithm Kruskal s Algorithm Given a graph G of N vertices, we may construct a minimal spanning tree as follows. (1) Include all the vertices of G in T. (2) Add to T the edge of minimal weight. (3) Repeatedly add to T edges of minimal weight of the remaining edges while being careful not to create a circuit. (4) Once we have added N 1 edges, T is a minimal spanning tree of G. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
21 Outline 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
22 Power Grid A B 26 C 22 D E 25 F G H 14 I J K L N O M Given the possible links, find the minimal spanning tree. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
23 Power Grid A B 26 C 22 D E 25 F G H 14 I J K L N O M The minimal spanning tree. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
24 Power Grid A B D 12 C E 25 F G 20 H L I 28 J 12 K N O M Total weight is 251. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
25 Practice A E F B C G D H L I M J 17 N K O P Find the minimal spanning tree. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
26 Outline 1 Networks and Trees 2 Minimal Spanning Trees 3 Kruskal s Algorithm 4 Examples 5 Assignment Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, / 17
27 Assignment Assignment Chapter 7 Exercises 1, 3, 7, 35, 37, 39, 40, 45. Robb T. Koether (Hampden-Sydney College) Minimal Spanning Trees Wed, Apr 11, 20 / 17
The Critical-Path Algorithm
The Critical-Path Algorithm Lecture 32 Sections 8.3-8.4 Robb T. Koether Hampden-Sydney College Wed, Nov 19, 2014 Robb T. Koether (Hampden-Sydney College) The Critical-Path Algorithm Wed, Nov 19, 2014 1
More informationThe Decreasing-Time Algorithm
The Decreasing-Time Algorithm Lecture 36 Sections 8.4 Robb T. Koether Hampden-Sydney College Wed, Apr 18, 2018 Robb T. Koether (Hampden-Sydney College) The Decreasing-Time Algorithm Wed, Apr 18, 2018 1
More informationThe Traveling Salesman Problem Nearest-Neighbor Algorithm
The Traveling Salesman Problem Nearest-Neighbor Algorithm Lecture 31 Sections 6.4 Robb T. Koether Hampden-Sydney College Fri, Apr 6, 2018 Robb T. Koether (Hampden-Sydney College)The Traveling Salesman
More informationRecursive Sequences. Lecture 24 Section 5.6. Robb T. Koether. Hampden-Sydney College. Wed, Feb 27, 2013
Recursive Sequences Lecture 24 Section 5.6 Robb T. Koether Hampden-Sydney College Wed, Feb 27, 2013 Robb T. Koether (Hampden-Sydney College) Recursive Sequences Wed, Feb 27, 2013 1 / 21 1 Recursive Sequences
More informationRotations and Translations
Rotations and Translations Lecture 33 Sections 11.3-11.4 Robb T. Koether Hampden-Sydney College Wed, Nov 20, 2013 Robb T. Koether (Hampden-Sydney College) Rotations and Translations Wed, Nov 20, 2013 1
More informationRecursive Sequences. Lecture 24 Section 5.6. Robb T. Koether. Hampden-Sydney College. Wed, Feb 26, 2014
Recursive Sequences Lecture 24 Section 5.6 Robb T. Koether Hampden-Sydney College Wed, Feb 26, 2014 Robb T. Koether (Hampden-Sydney College) Recursive Sequences Wed, Feb 26, 2014 1 / 26 1 Recursive Sequences
More informationSolving Recursive Sequences by Iteration
Solving Recursive Sequences by Iteration Lecture 25 Section 5.7 Robb T. Koether Hampden-Sydney College Thu, Feb 28, 2013 Robb T. Koether (Hampden-Sydney College) Solving Recursive Sequences by Iteration
More informationwhile Loops Lecture 13 Sections Robb T. Koether Wed, Sep 26, 2018 Hampden-Sydney College
while Loops Lecture 13 Sections 5.8-5.9 Robb T. Koether Hampden-Sydney College Wed, Sep 26, 2018 Robb T. Koether (Hampden-Sydney College) while Loops Wed, Sep 26, 2018 1 / 25 1 while Loops 2 Input Loops
More informationSampling Distribution Examples Sections 15.4, 15.5
Sampling Distribution Examples Sections 15.4, 15.5 Lecture 27 Robb T. Koether Hampden-Sydney College Wed, Mar 2, 2016 Robb T. Koether (Hampden-Sydney College)Sampling Distribution ExamplesSections 15.4,
More informationScheduling and Digraphs
Scheduling and Digraphs Lecture 35 Sections 8.1, 8.2 Robb T. Koether Hampden-Sydney College Mon, Nov 21, 2016 Robb T. Koether (Hampden-Sydney College) Scheduling and Digraphs Mon, Nov 21, 2016 1 / 25 1
More informationThe Pairwise-Comparison Method
The Pairwise-Comparison Method Lecture 10 Section 1.5 Robb T. Koether Hampden-Sydney College Mon, Sep 11, 2017 Robb T. Koether (Hampden-Sydney College) The Pairwise-Comparison Method Mon, Sep 11, 2017
More informationThe Traveling Salesman Problem Brute Force Method
The Traveling Salesman Problem Brute Force Method Lecture 30 Sections 6.1, 6.3 Robb T. Koether Hampden-Sydney College Fri, Nov 3, 2017 Robb T. Koether (Hampden-Sydney College)The Traveling Salesman Problem
More informationBinary Tree Applications
Binary Tree Applications Lecture 30 Section 19.2 Robb T. Koether Hampden-Sydney College Wed, Apr 15, 2015 Robb T. Koether (Hampden-Sydney College) Binary Tree Applications Wed, Apr 15, 2015 1 / 56 1 Binary
More informationStreet-Routing Problems
Street-Routing Problems Lecture 26 Sections 5.1-5.2 Robb T. Koether Hampden-Sydney College Wed, Oct 25, 2017 Robb T. Koether (Hampden-Sydney College) Street-Routing Problems Wed, Oct 25, 2017 1 / 21 1
More informationStack Applications. Lecture 27 Sections Robb T. Koether. Hampden-Sydney College. Wed, Mar 29, 2017
Stack Applications Lecture 27 Sections 18.7-18.8 Robb T. Koether Hampden-Sydney College Wed, Mar 29, 2017 Robb T. Koether Hampden-Sydney College) Stack Applications Wed, Mar 29, 2017 1 / 27 1 Function
More informationBoolean Expressions. Lecture 31 Sections 6.6, 6.7. Robb T. Koether. Hampden-Sydney College. Wed, Apr 8, 2015
Boolean Expressions Lecture 31 Sections 6.6, 6.7 Robb T. Koether Hampden-Sydney College Wed, Apr 8, 2015 Robb T. Koether (Hampden-Sydney College) Boolean Expressions Wed, Apr 8, 2015 1 / 22 1 Relational
More informationXPath Lecture 34. Robb T. Koether. Hampden-Sydney College. Wed, Apr 11, 2012
XPath Lecture 34 Robb T. Koether Hampden-Sydney College Wed, Apr 11, 2012 Robb T. Koether (Hampden-Sydney College) XPathLecture 34 Wed, Apr 11, 2012 1 / 20 1 XPath Functions 2 Predicates 3 Axes Robb T.
More informationDensity Curves Sections
Density Curves Sections 3.1-3.2 Lecture 8 Robb T. Koether Hampden-Sydney College Wed, Jan 27, 2016 Robb T. Koether (Hampden-Sydney College) Density CurvesSections 3.1-3.2 Wed, Jan 27, 2016 1 / 18 Outline
More informationBoxplots. Lecture 17 Section Robb T. Koether. Hampden-Sydney College. Wed, Feb 10, 2010
Boxplots Lecture 17 Section 5.3.3 Robb T. Koether Hampden-Sydney College Wed, Feb 10, 2010 Robb T. Koether (Hampden-Sydney College) Boxplots Wed, Feb 10, 2010 1 / 34 Outline 1 Boxplots TI-83 Boxplots 2
More informationThe Coefficient of Determination
The Coefficient of Determination Lecture 46 Section 13.9 Robb T. Koether Hampden-Sydney College Wed, Apr 17, 2012 Robb T. Koether (Hampden-Sydney College) The Coefficient of Determination Wed, Apr 17,
More informationTotal Orders. Lecture 41 Section 8.5. Robb T. Koether. Hampden-Sydney College. Mon, Apr 8, 2013
Total Orders Lecture 41 Section 8.5 Robb T. Koether Hampden-Sydney College Mon, Apr 8, 2013 Robb T. Koether (Hampden-Sydney College) Total Orders Mon, Apr 8, 2013 1 / 30 1 Total Orders 2 Topological Sorting
More informationRecursive Descent Parsers
Recursive Descent Parsers Lecture 7 Robb T. Koether Hampden-Sydney College Wed, Jan 28, 2015 Robb T. Koether (Hampden-Sydney College) Recursive Descent Parsers Wed, Jan 28, 2015 1 / 18 1 Parsing 2 LL Parsers
More informationDisplaying Distributions - Quantitative Variables
Displaying Distributions - Quantitative Variables Lecture 13 Sections 4.4.1-4.4.3 Robb T. Koether Hampden-Sydney College Wed, Feb 8, 2012 Robb T. Koether (Hampden-Sydney College)Displaying Distributions
More informationThe Plurality-with-Elimination Method
The Plurality-with-Elimination Method Lecture 9 Section 1.4 Robb T. Koether Hampden-Sydney College Fri, Sep 8, 2017 Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Fri, Sep
More informationThe string Class. Lecture 21 Sections 2.9, 3.9, Robb T. Koether. Wed, Oct 17, Hampden-Sydney College
The string Class Lecture 21 Sections 2.9, 3.9, 3.10 Robb T. Koether Hampden-Sydney College Wed, Oct 17, 2018 Robb T. Koether (Hampden-Sydney College) The string Class Wed, Oct 17, 2018 1 / 18 1 The String
More informationXML Attributes. Lecture 33. Robb T. Koether. Hampden-Sydney College. Wed, Apr 25, 2018
XML Attributes Lecture 33 Robb T. Koether Hampden-Sydney College Wed, Apr 25, 2018 Robb T. Koether (Hampden-Sydney College) XML Attributes Wed, Apr 25, 2018 1 / 15 1 XML Attributes 2 The getattribute()
More informationThe Traveling Salesman Problem Cheapest-Link Algorithm
The Traveling Salesman Problem heapest-link lgorithm Lecture 3 Sections.5 Robb T. Koether ampden-sydney ollege Wed, Nov 1, 201 Robb T. Koether (ampden-sydney ollege)the Traveling Salesman Problemheapest-Link
More informationNondeterministic Programming in C++
Nondeterministic Programming in C++ Lecture 37 Sections 14.5 Robb T. Koether Hampden-Sydney College Wed, Nov 30, 2016 Robb T. Koether (Hampden-Sydney College) Nondeterministic Programming in C++ Wed, Nov
More informationXPath. Lecture 36. Robb T. Koether. Wed, Apr 16, Hampden-Sydney College. Robb T. Koether (Hampden-Sydney College) XPath Wed, Apr 16, / 28
XPath Lecture 36 Robb T. Koether Hampden-Sydney College Wed, Apr 16, 2014 Robb T. Koether (Hampden-Sydney College) XPath Wed, Apr 16, 2014 1 / 28 1 XPath 2 Executing XPath Expressions 3 XPath Expressions
More informationLinked Lists. Lecture 16 Sections Robb T. Koether. Hampden-Sydney College. Wed, Feb 22, 2017
Linked Lists Lecture 16 Sections 17.1-17.3 Robb T. Koether Hampden-Sydney College Wed, Feb 22, 2017 Robb T. Koether (Hampden-Sydney College) Linked Lists Wed, Feb 22, 2017 1 / 24 1 Linked Lists 2 The LinkedListNode
More informationRegular Expressions. Lecture 10 Sections Robb T. Koether. Hampden-Sydney College. Wed, Sep 14, 2016
Regular Expressions Lecture 10 Sections 3.1-3.2 Robb T. Koether Hampden-Sydney College Wed, Sep 14, 2016 Robb T. Koether (Hampden-Sydney College) Regular Expressions Wed, Sep 14, 2016 1 / 23 Outline 1
More informationLR Parsing - Conflicts
LR Parsing - Conflicts Lecture 15 Sections 4.5, 4.6 Robb T. Koether Hampden-Sydney College Fri, Feb 20, 2015 Robb T. Koether (Hampden-Sydney College) LR Parsing - Conflicts Fri, Feb 20, 2015 1 / 15 1 Shift/Reduce
More informationScope and Parameter Passing
Scope and Parameter Passing Lecture 16 Sections 6.5, 6.10, 6.13 Robb T. Koether Hampden-Sydney College Mon, Oct 7, 2013 Robb T. Koether (Hampden-Sydney College) Scope and Parameter Passing Mon, Oct 7,
More informationFunction Definition Syntax Tree
Function Definition Syntax Tree Lecture 34 Section 6.9 Robb T. Koether Hampden-Sydney College Wed, Apr 15, 2015 Robb T. Koether (Hampden-Sydney College) Function Definition Syntax Tree Wed, Apr 15, 2015
More informationThe Graphics Pipeline
The Graphics Pipeline Lecture 2 Robb T. Koether Hampden-Sydney College Wed, Aug 23, 2017 Robb T. Koether (Hampden-Sydney College) The Graphics Pipeline Wed, Aug 23, 2017 1 / 19 Outline 1 Vertices 2 The
More informationThe Class Construct Part 1
The Class Construct Part 1 Lecture 23 Sections 7.5-7.6 Robb T. Koether Hampden-Sydney College Fri, Oct 26, 2018 Robb T. Koether (Hampden-Sydney College) The Class Construct Part 1 Fri, Oct 26, 2018 1 /
More informationRecursion. Lecture 2 Sections Robb T. Koether. Hampden-Sydney College. Wed, Jan 17, 2018
Recursion Lecture 2 Sections 20.1-20.4 Robb T. Koether Hampden-Sydney College Wed, Jan 17, 2018 Robb T. Koether (Hampden-Sydney College) Recursion Wed, Jan 17, 2018 1 / 18 1 Recursion 2 Advantages and
More informationMipmaps. Lecture 35. Robb T. Koether. Hampden-Sydney College. Wed, Nov 18, 2015
Mipmaps Lecture 35 Robb T. Koether Hampden-Sydney College Wed, Nov 18, 2015 Robb T. Koether (Hampden-Sydney College) Mipmaps Wed, Nov 18, 2015 1 / 31 Outline 1 Discrete Sampling 2 Mipmaps 3 Generating
More informationWebpage Navigation. Lecture 27. Robb T. Koether. Hampden-Sydney College. Mon, Apr 2, 2018
Webpage Navigation Lecture 27 Robb T. Koether Hampden-Sydney College Mon, Apr 2, 2018 Robb T. Koether (Hampden-Sydney College) Webpage Navigation Mon, Apr 2, 2018 1 / 16 1 Popup Boxes 2 The Document Object
More informationMagnification and Minification
Magnification and Minification Lecture 30 Robb T. Koether Hampden-Sydney College Fri, Nov 6, 2015 Robb T. Koether (Hampden-Sydney College) Magnification and Minification Fri, Nov 6, 2015 1 / 17 Outline
More informationScope and Parameter Passing
Scope and Parameter Passing Lecture 17 Sections 6.5, 6.10, 6.13 Robb T. Koether Hampden-Sydney College Fri, Oct 5, 2018 Robb T. Koether (Hampden-Sydney College) Scope and Parameter Passing Fri, Oct 5,
More informationPHP Queries and HTML Forms Lecture 23
PHP Queries and HTML Forms Lecture 23 Robb T. Koether Hampden-Sydney College Wed, Mar 14, 2018 Robb T. Koether (Hampden-Sydney College) PHP Queries and HTML FormsLecture 23 Wed, Mar 14, 2018 1 / 15 1 Retrieving
More informationImplementing Linked Lists
Implementing Linked Lists Lecture 16 Sections 17.1-17.3 Robb T. Koether Hampden-Sydney College Wed, Feb 27, 2013 Robb T. Koether (Hampden-Sydney College) Implementing Linked Lists Wed, Feb 27, 2013 1 /
More informationBuilding the Abstract Syntax Trees
Building the Abstract Syntax Trees Lecture 23 Section 5.3 Robb T. Koether Hampden-Sydney College Wed, Mar 18, 2015 Robb T. Koether (Hampden-Sydney College) Building the Abstract Syntax Trees Wed, Mar 18,
More informationThe CYK Parsing Algorithm
The CYK Parsing Algorithm Lecture 19 Section 6.3 Robb T. Koether Hampden-Sydney College Fri, Oct 7, 2016 Robb T. Koether (Hampden-Sydney College) The CYK Parsing Algorithm Fri, Oct 7, 2016 1 / 21 1 The
More informationThe Normal Distribution
The Normal Distribution Lecture 20 Section 6.3.1 Robb T. Koether Hampden-Sydney College Wed, Sep 28, 2011 Robb T. Koether (Hampden-Sydney College) The Normal Distribution Wed, Sep 28, 2011 1 / 41 Outline
More informationPointers. Lecture 1 Sections Robb T. Koether. Hampden-Sydney College. Wed, Jan 14, 2015
Pointers Lecture 1 Sections 10.1-10.2 Robb T. Koether Hampden-Sydney College Wed, Jan 14, 2015 Robb T. Koether (Hampden-Sydney College) Pointers Wed, Jan 14, 2015 1 / 23 1 Pointers 2 Pointer Initialization
More informationIntroduction to Compiler Design
Introduction to Compiler Design Lecture 1 Chapters 1 and 2 Robb T. Koether Hampden-Sydney College Wed, Jan 14, 2015 Robb T. Koether (Hampden-Sydney College) Introduction to Compiler Design Wed, Jan 14,
More informationXQuery FLOWR Expressions Lecture 35
XQuery FLOWR Expressions Lecture 35 Robb T. Koether Hampden-Sydney College Fri, Apr 13, 2012 Robb T. Koether (Hampden-Sydney College) XQuery FLOWR ExpressionsLecture 35 Fri, Apr 13, 2012 1 / 33 1 XQuery
More informationPointer Arithmetic. Lecture 4 Chapter 10. Robb T. Koether. Hampden-Sydney College. Wed, Jan 25, 2017
Pointer Arithmetic Lecture 4 Chapter 10 Robb T. Koether Hampden-Sydney College Wed, Jan 25, 2017 Robb T. Koether (Hampden-Sydney College) Pointer Arithmetic Wed, Jan 25, 2017 1 / 36 1 Pointer Arithmetic
More informationList Iterators. Lecture 27 Section Robb T. Koether. Hampden-Sydney College. Wed, Apr 8, 2015
List Iterators Lecture 27 Section 16.5 Robb T. Koether Hampden-Sydney College Wed, Apr 8, 2015 Robb T. Koether (Hampden-Sydney College) List Iterators Wed, Apr 8, 2015 1 / 28 1 Sequential Access 2 List
More informationAggregation. Lecture 7 Section Robb T. Koether. Hampden-Sydney College. Wed, Jan 29, 2014
Aggregation Lecture 7 Section 5.1.7-5.1.8 Robb T. Koether Hampden-Sydney College Wed, Jan 29, 2014 Robb T. Koether (Hampden-Sydney College) Aggregation Wed, Jan 29, 2014 1 / 17 1 Aggregate Functions 2
More informationRecursive Linked Lists
Recursive Linked Lists Lecture 28 Sections 14.1-14.5, 14.7 Robb T. Koether Hampden-Sydney College Fri, Mar 31, 2017 Robb T. Koether (Hampden-Sydney College) Recursive Linked Lists Fri, Mar 31, 2017 1 /
More informationList Iterator Implementation
List Iterator Implementation Lecture 28 Section 14.6 Robb T. Koether Hampden-Sydney College Fri, Apr 10, 2015 Robb T. Koether (Hampden-Sydney College) List Iterator Implementation Fri, Apr 10, 2015 1 /
More informationThe Projection Matrix
The Projection Matrix Lecture 5 Robb T. Koether Hampden-Sydney College Wed, Aug 30, 2017 Robb T. Koether (Hampden-Sydney College) The Projection Matrix Wed, Aug 30, 2017 1 / 21 Outline 1 The World Coordinate
More informationRecursion. Lecture 26 Sections , Robb T. Koether. Hampden-Sydney College. Mon, Apr 6, 2015
Recursion Lecture 26 Sections 14.1-14.5, 14.7 Robb T. Koether Hampden-Sydney College Mon, Apr 6, 2015 Robb T. Koether (Hampden-Sydney College) Recursion Mon, Apr 6, 2015 1 / 18 1 Recursion 2 Advantages
More informationOperators. Lecture 12 Section Robb T. Koether. Hampden-Sydney College. Fri, Feb 9, 2018
Operators Lecture 12 Section 14.5 Robb T. Koether Hampden-Sydney College Fri, Feb 9, 2018 Robb T. Koether (Hampden-Sydney College) Operators Fri, Feb 9, 2018 1 / 21 Outline 1 Operators as Functions 2 Operator
More informationjquery Lecture 34 Robb T. Koether Wed, Apr 10, 2013 Hampden-Sydney College Robb T. Koether (Hampden-Sydney College) jquery Wed, Apr 10, / 29
jquery Lecture 34 Robb T. Koether Hampden-Sydney College Wed, Apr 10, 2013 Robb T. Koether (Hampden-Sydney College) jquery Wed, Apr 10, 2013 1 / 29 1 jquery 2 jquery Selectors 3 jquery Effects 4 jquery
More informationInheritance: The Fundamental Functions
Inheritance: The Fundamental Functions Lecture 21 Sections 11.11-11.12 Robb T. Koether Hampden-Sydney College Wed, Mar 20, 2013 Robb T. Koether (Hampden-Sydney College) Inheritance: The Fundamental Functions
More informationThe Graphics Pipeline
The Graphics Pipeline Lecture 2 Robb T. Koether Hampden-Sydney College Fri, Aug 28, 2015 Robb T. Koether (Hampden-Sydney College) The Graphics Pipeline Fri, Aug 28, 2015 1 / 19 Outline 1 Vertices 2 The
More informationRecognition of Tokens
Recognition of Tokens Lecture 3 Section 3.4 Robb T. Koether Hampden-Sydney College Mon, Jan 19, 2015 Robb T. Koether (Hampden-Sydney College) Recognition of Tokens Mon, Jan 19, 2015 1 / 21 1 A Class of
More informationTriggers. Lecture 14. Robb T. Koether. Hampden-Sydney College. Wed, Feb 14, 2018
Triggers Lecture 14 Robb T. Koether Hampden-Sydney College Wed, Feb 14, 2018 Robb T. Koether (Hampden-Sydney College) Triggers Wed, Feb 14, 2018 1 / 22 1 Triggers 2 Cascading Triggers 3 Update and Insert
More informationList Iterators. Lecture 34 Section Robb T. Koether. Hampden-Sydney College. Wed, Apr 24, 2013
List Iterators Lecture 34 Section 16.5 Robb T. Koether Hampden-Sydney College Wed, Apr 24, 2013 Robb T. Koether (Hampden-Sydney College) List Iterators Wed, Apr 24, 2013 1 / 29 1 Sequential Access 2 List
More informationAbstract Data Types. Lecture 23 Section 7.1. Robb T. Koether. Hampden-Sydney College. Wed, Oct 24, 2012
Abstract Data Types Lecture 23 Section 7.1 Robb T. Koether Hampden-Sydney College Wed, Oct 24, 2012 Robb T. Koether (Hampden-Sydney College) Abstract Data Types Wed, Oct 24, 2012 1 / 19 1 Abstract Data
More informationFriends and Unary Operators
Friends and Unary Operators Lecture 11 Sections 11.3, 11.6 Robb T. Koether Hampden-Sydney College Fri, Feb 13, 2015 Robb T. Koether (Hampden-Sydney College) Friends and Unary Operators Fri, Feb 13, 2015
More informationForm Validation. Lecture 25. Robb T. Koether. Hampden-Sydney College. Wed, Mar 23, 2018
Form Validation Lecture 25 Robb T. Koether Hampden-Sydney College Wed, Mar 23, 2018 Robb T. Koether (Hampden-Sydney College) Form Validation Wed, Mar 23, 2018 1 / 16 1 Form Validation 2 Detecting Javascript
More informationDTDs and XML Attributes
DTDs and XML Attributes Lecture 33 Robb T. Koether Hampden-Sydney College Mon, Apr 8, 2013 Robb T. Koether (Hampden-Sydney College) DTDs and XML Attributes Mon, Apr 8, 2013 1 / 21 1 Attribute Definitions
More informationFunction Usage. Lecture 15 Sections 6.3, 6.4. Robb T. Koether. Hampden-Sydney College. Mon, Oct 1, 2018
Function Usage Lecture 15 Sections 6.3, 6.4 Robb T. Koether Hampden-Sydney College Mon, Oct 1, 2018 Robb T. Koether (Hampden-Sydney College) Function Usage Mon, Oct 1, 2018 1 / 12 1 Function and Parameters
More informationStack Applications. Lecture 25 Sections Robb T. Koether. Hampden-Sydney College. Mon, Mar 30, 2015
Stack Applications Lecture 25 Sections 18.7-18.8 Robb T. Koether Hampden-Sydney College Mon, Mar 30, 2015 Robb T. Koether Hampden-Sydney College) Stack Applications Mon, Mar 30, 2015 1 / 34 1 The Triangle
More informationIntroduction to Databases
Introduction to Databases Lecture 1 Chapters 1-2 Robb T. Koether Hampden-Sydney College Wed, Jan 15, 2014 Robb T. Koether (Hampden-Sydney College) Introduction to Databases Wed, Jan 15, 2014 1 / 23 1 Overview
More informationSpecular Reflection. Lecture 19. Robb T. Koether. Hampden-Sydney College. Wed, Oct 4, 2017
Specular Reflection Lecture 19 Robb T. Koether Hampden-Sydney College Wed, Oct 4, 2017 Robb T. Koether (Hampden-Sydney College) Specular Reflection Wed, Oct 4, 2017 1 / 22 Outline 1 Specular Reflection
More informationPointers. Lecture 2 Sections Robb T. Koether. Hampden-Sydney College. Fri, Jan 18, 2013
Pointers Lecture 2 Sections 10.3-10.8 Robb T. Koether Hampden-Sydney College Fri, Jan 18, 2013 Robb T. Koether (Hampden-Sydney College) Pointers Fri, Jan 18, 2013 1 / 35 1 Introduction 2 Pointer Arithmetic
More informationInsertions, Deletions, and Updates
Insertions, Deletions, and Updates Lecture 5 Robb T. Koether Hampden-Sydney College Wed, Jan 24, 2018 Robb T. Koether (Hampden-Sydney College) Insertions, Deletions, and Updates Wed, Jan 24, 2018 1 / 17
More informationPointers. Lecture 2 Sections Robb T. Koether. Hampden-Sydney College. Mon, Jan 20, 2014
Pointers Lecture 2 Sections 10.3-10.8 Robb T. Koether Hampden-Sydney College Mon, Jan 20, 2014 Robb T. Koether (Hampden-Sydney College) Pointers Mon, Jan 20, 2014 1 / 35 1 Endianness 2 Pointer Arithmetic
More informationInteger Overflow. Lecture 8 Section 2.5. Robb T. Koether. Hampden-Sydney College. Mon, Jan 27, 2014
Integer Overflow Lecture 8 Section 2.5 Robb T. Koether Hampden-Sydney College Mon, Jan 27, 2014 Robb T. Koether (Hampden-Sydney College) Integer Overflow Mon, Jan 27, 2014 1 / 32 1 Signed Addition and
More informationThe Constructors. Lecture 7 Sections Robb T. Koether. Hampden-Sydney College. Wed, Feb 1, 2017
The Constructors Lecture 7 Sections 11.4-11.5 Robb T. Koether Hampden-Sydney College Wed, Feb 1, 2017 Robb T. Koether (Hampden-Sydney College) The Constructors Wed, Feb 1, 2017 1 / 25 1 The Four Fundamental
More informationAmbient and Diffuse Light
Ambient and Diffuse Light Lecture 20 Robb T. Koether Hampden-Sydney College Mon, Oct 12, 2015 Robb T. Koether (Hampden-Sydney College) Ambient and Diffuse Light Mon, Oct 12, 2015 1 / 29 Outline 1 Lighting
More informationProgramming Languages
Programming Languages Lecture 3 Section 1.3 Robb T. Koether Hampden-Sydney College Mon, Sep 2, 2013 Robb T. Koether (Hampden-Sydney College) Programming Languages Mon, Sep 2, 2013 1 / 25 1 Programming
More informationProgramming Languages
Programming Languages Lecture 3 Robb T. Koether Hampden-Sydney College Fri, Aug 31, 2018 Robb T. Koether (Hampden-Sydney College) Programming Languages Fri, Aug 31, 2018 1 / 23 1 Programming Languages
More informationInheritance: The Fundamental Functions
Inheritance: The Fundamental Functions Lecture 21 Sections 11.11-11.12 Robb T. Koether Hampden-Sydney College Mon, Mar 17, 2014 Robb T. Koether (Hampden-Sydney College) Inheritance: The Fundamental Functions
More informationThe Class Construct Part 2
The Class Construct Part 2 Lecture 24 Sections 7.7-7.9 Robb T. Koether Hampden-Sydney College Mon, Oct 29, 2018 Robb T. Koether (Hampden-Sydney College) The Class Construct Part 2 Mon, Oct 29, 2018 1 /
More informationMySQL Creating a Database Lecture 3
MySQL Creating a Database Lecture 3 Robb T Koether Hampden-Sydney College Mon, Jan 23, 2012 Robb T Koether (Hampden-Sydney College) MySQL Creating a DatabaseLecture 3 Mon, Jan 23, 2012 1 / 31 1 Multiple
More informationThe Model Stack. Lecture 8. Robb T. Koether. Hampden-Sydney College. Wed, Sep 6, 2017
The Model Stack Lecture 8 Robb T. Koether Hampden-Sydney College Wed, Sep 6, 2017 Robb T. Koether (Hampden-Sydney College) The Model Stack Wed, Sep 6, 2017 1 / 19 Outline 1 Drawing Rectangle Man 2 The
More informationThe x86 Instruction Set
The x86 Instruction Set Lecture 25 Intel Manual, Vols. 2A & 2B Robb T. Koether Hampden-Sydney College Mon, Mar 23, 2015 Robb T. Koether (Hampden-Sydney College) The x86 Instruction Set Mon, Mar 23, 2015
More informationFundamental Data Types
Fundamental Data Types Lecture 4 Sections 2.7-2.10 Robb T. Koether Hampden-Sydney College Mon, Sep 3, 2018 Robb T. Koether (Hampden-Sydney College) Fundamental Data Types Mon, Sep 3, 2018 1 / 25 1 Integers
More informationThe Mesh Class. Lecture 26. Robb T. Koether. Wed, Oct 28, Hampden-Sydney College
The Mesh Class Lecture 26 Robb T. Koether Hampden-Sydney College Wed, Oct 28, 2015 Robb T. Koether (Hampden-Sydney College) The Mesh Class Wed, Oct 28, 2015 1 / 23 Outline 1 The Mesh Class 2 Assignment
More informationBasic CSS Lecture 17
Basic CSS Lecture 17 Robb T. Koether Hampden-Sydney College Wed, Feb 21, 2018 Robb T. Koether (Hampden-Sydney College) Basic CSSLecture 17 Wed, Feb 21, 2018 1 / 22 1 CSS 2 Background Styles 3 Text Styles
More informationStacks and their Applications
Stacks and their Applications Lecture 23 Sections 18.1-18.2 Robb T. Koether Hampden-Sydney College Fri, Mar 16, 2018 Robb T. Koether Hampden-Sydney College) Stacks and their Applications Fri, Mar 16, 2018
More informationDynamic Allocation of Memory
Dynamic Allocation of Memory Lecture 5 Section 9.8 Robb T. Koether Hampden-Sydney College Wed, Jan 24, 2018 Robb T. Koether (Hampden-Sydney College) Dynamic Allocation of Memory Wed, Jan 24, 2018 1 / 34
More informationShading Triangles. Lecture 37. Robb T. Koether. Hampden-Sydney College. Mon, Nov 30, 2015
Shading Triangles Lecture 37 Robb T. Koether Hampden-Sydney College Mon, Nov 30, 2015 Robb T. Koether (Hampden-Sydney College) Shading Triangles Mon, Nov 30, 2015 1 / 35 Outline 1 Shading Triangles Barycentric
More informationBasic PHP. Lecture 19. Robb T. Koether. Hampden-Sydney College. Mon, Feb 26, 2108
Basic PHP Lecture 19 Robb T. Koether Hampden-Sydney College Mon, Feb 26, 2108 Robb T. Koether (Hampden-Sydney College) Basic PHP Mon, Feb 26, 2108 1 / 27 1 PHP 2 The echo Statement 3 Variables 4 Operators
More informationArray Lists. Lecture 15. Robb T. Koether. Hampden-Sydney College. Fri, Feb 16, 2018
Array Lists Lecture 15 Robb T. Koether Hampden-Sydney College Fri, Feb 16, 2018 Robb T. Koether (Hampden-Sydney College) Array Lists Fri, Feb 16, 2018 1 / 21 1 Inlining Functions 2 List Implementations
More informationDynamic Allocation of Memory
Dynamic Allocation of Memory Lecture 4 Sections 10.9-10.10 Robb T. Koether Hampden-Sydney College Fri, Jan 25, 2013 Robb T. Koether (Hampden-Sydney College) Dynamic Allocation of Memory Fri, Jan 25, 2013
More informationLR Parsing - The Items
LR Parsing - The Items Lecture 10 Sections 4.5, 4.7 Robb T. Koether Hampden-Sydney College Fri, Feb 13, 2015 Robb T. Koether (Hampden-Sydney College) LR Parsing - The Items Fri, Feb 13, 2015 1 / 31 1 LR
More informationXML and AJAX Lecture 28
XML and AJAX Lecture 28 Robb T. Koether Hampden-Sydney College Wed, Mar 28, 2012 Robb T. Koether (Hampden-Sydney College) XML and AJAXLecture 28 Wed, Mar 28, 2012 1 / 29 1 Navigating the XML Tree 2 The
More informationReview. Lecture 39. Robb T. Koether. Mon, Dec 5, Hampden-Sydney College. Robb T. Koether (Hampden-Sydney College) Review Mon, Dec 5, / 14
Review Lecture 39 Robb T. Koether Hampden-Sydney College Mon, Dec 5, 2016 Robb T. Koether (Hampden-Sydney College) Review Mon, Dec 5, 2016 1 / 14 1 The Exam Test #2 Test #3 Robb T. Koether (Hampden-Sydney
More informationBinary Tree Implementation
Binary Tree Implementation Lecture 31 Sections 12.2-12.3 Robb T. Koether Hampden-Sydney College Mon, Apr 5, 2010 Robb T. Koether (Hampden-Sydney College) Binary Tree Implementation Mon, Apr 5, 2010 1 /
More informationArray Lists. Lecture 15. Robb T. Koether. Hampden-Sydney College. Mon, Feb 22, 2016
Array Lists Lecture 15 Robb T. Koether Hampden-Sydney College Mon, Feb 22, 2016 Robb T. Koether (Hampden-Sydney College) Array Lists Mon, Feb 22, 2016 1 / 23 1 Inlining Functions 2 List Implementations
More informationBinary Tree Implementation
Binary Tree Implementation Lecture 32 Section 19.1 Robb T. Koether Hampden-Sydney College Mon, Apr 16, 2018 Robb T. Koether (Hampden-Sydney College) Binary Tree Implementation Mon, Apr 16, 2018 1 / 24
More informationBasic PHP Lecture 17
Basic PHP Lecture 17 Robb T. Koether Hampden-Sydney College Fri, Feb 24, 2012 Robb T. Koether (Hampden-Sydney College) Basic PHPLecture 17 Fri, Feb 24, 2012 1 / 30 1 PHP 2 Basic PHP 3 The Extended echo
More information