Graph Theory, Spring 2018
Class Info   |   Schedule   |   Quizzes

Class Info

Syllabus
Textbook: Introduction to Graph Theory (2nd Edition) by Douglas B. West
Meeting times: Monday and Thursday, 4-5:50pm in 203 Ricketts
No Class: January 15; March 12 and 15; Feb 19 class on Feb 20

Course Instructor:
Prof. George M. Slota (gmslota@gmail.com)
Office Hours: Monday/Thursday at 2-4pm in 317 Lally

Teaching Assistant:
Samantha Lee (lees29@rpi.edu)
Office Hours: Monday 10-12pm in AE 118, Thursday 2-4pm in AE 118

Lecture Notes and Readings

Note: Class schedule subject to change.

WeekClass DateTopicReadingsNotes and Code
1 15 Jan No class: MLK Day
18 Jan Introduction to Graphs, Definitions West ch. 1.1 Notes 1   |   Intro Slides   |   Intro code   |   Test Graph
2 22 Jan Isomorphism, Walks, Connectivity West ch. 1.1-1.2 Notes 2   |   Traversal   |   Transport Graph
25 Jan Induction, Eulerian Circuits West ch. 1.2 Notes 3
3 29 Jan Degrees, Graphic Sequences, Directed Graphs West ch. 1.3-1.4 Notes 4   |   Vid 1   |   Vid 2
1 Feb More Digraphs and PageRank West ch. 1.4 Notes 5   |   PageRanks   |   NFL Graph
4 5 Feb DAGs, Trees West ch. 2.1-2.2 Notes 6
8 Feb Tree Algorithms West ch. 2.2-2.3 Notes 7
5 12 Feb Exam 1 Lectures 1-7, West ch. 1-2 Study Sheet   |   Practice Problems   |   Solutions
15 Feb Matching and Covers West ch. 3.1-3.2 Notes 8
6 20 Feb General Graph Matching West ch. 3.3 Notes 9
22 Feb Vertex and Edge Connectivity West ch. 4.1 Notes 10
7 26 Feb Ear Decompositions, Digraph Connectivity West ch. 4.2 Notes 11
1 Mar k-connectivity, Network Flow West ch. 4.2-4.3 Notes 12
8 5 Mar In-class review Study Sheet   |   Practice Problems   |   Solutions
8 Mar Exam 2 Lectures 8-12, West ch. 3-4
9 12 Mar No class: Spring Break
15 Mar No class: Spring Break
10 19 Mar Vertex Coloring West ch. 5.1 Notes 13
22 Mar More Coloring West ch. 5.1-5.2 Notes 14
11 26 Mar Even More Coloring West ch. 5.2 Notes 15  |   Greedy Coloring   |   Enron   |   GPlus   |   US Roads
29 Mar Counting Colorings West ch. 5.3 Notes 16
12 2 Apr Planarity West ch. 6.1 Notes 17
5 Apr Kuratowski's Theorem West ch. 6.2 Notes 18
13 9 Apr Coloring of Planar Graphs West ch. 6.3 Notes 19
12 Apr Line Graphs, Edge Coloring West ch. 7.1 Notes 20
14 16 Apr More Line Graphs West ch. 7.1 Notes 21
19 Apr Hamiltonian Graphs West ch. 7.2 Notes 22
15 23 Apr
26 Apr
16 30 Apr Final Review
3 May Study Days: No class
17 May 8 11:30-2:30 Final Exam (203 Ricketts) West ch. 1-7, all Lecture Notes

Quizzes

WeekQuizSolution
1 First Week No Quiz
2 Quiz 1 Solutions
3 Quiz 2 Solutions
4 Review Week No Quiz
5 Exam Week Exam Solutions
6 Quiz 3 Solutions
7 Quiz 4 Solutions
8 Exam Week Exam Solutions
9 Spring Break No quiz
10 Quiz 5 Solutions
11 Quiz 6 Solutions
12 Quiz 7 Solutions
13 Quiz 8 Solutions
14
15
16 Study Week No Quiz