Graph Theory, Spring 2020
Class Info   |   Schedule   |   Quizzes   |   Homeworks

Class Info

Syllabus
Textbook: Introduction to Graph Theory (2nd Edition) by Douglas B. West
Meeting times: Monday and Thursday at 10-11:50pm in TBD
No Class: Jan 20; Feb 17 => Yes class on Feb 18

Course Instructor:
Prof. George M. Slota (gmslota@gmail.com)
Office Hours: Monday/Wednesday at 4-6pm in 317 Lally

Teaching Assistant:
Colin Goldberg (goldbc@rpi.edu)
Office Hours: Tuesday/Friday 4-6pm in 127 Amos Eaton

Lecture Notes and Readings

Note: Class schedule subject to (and likely will) change.

WeekClass DateTopicReadingsNotes
1 13 Jan Introduction to Graphs, Definitions West ch. 1.1 Lecture 1   |   Intro Slides   |   Intro Code   |   Test Graph
16 Jan Isomorphism West ch. 1.1-1.2 Lecture 2
2 20 Jan No class: MLK Day
23 Jan Decompositions, Walks, Induction West ch. 1.2 Lecture 3
3 27 Jan Eulerian Circuits, Degrees, Graphic Sequences, Directed Graphs West ch. 1.3-1.4 Lecture 4   |   Vid 1   |   Vid 2
30 Jan More Digraphs and PageRank West ch. 1.4 Lecture 5   |   Code   |   Data
4 3 Feb DAGs, Trees West ch. 2.1-2.2 Lecture 6
6 Feb Tree Algorithms West ch. 2.2-2.3 Lecture 7   |   Slides
5 10 Feb No Lecture
13 Feb Matching and Covers West ch. 3.1-3.2 Lecture 8   |   Slides
6 17 18 Feb General Matching, Independent Sets, Connectivity West ch. 3.3, 4.1 Lecture 9
20 Feb 2-connectivity, Biconnectivity West ch. 4.2 Lecture 10
7 24 Feb Ear Decompositions, k-connectivity West ch. 4.2 Lecture 11
27 Feb Network flow West ch. 4.3 Lecture 12
8 2 Mar In-class review Study Sheet   |   Practice Problems   |   Practice Solutions
5 Mar Midterm Lectures 1-12, West ch. 1-4 Midterm Solutions
9 9 Mar No class: Spring Break
12 Mar No class: Spring Break
10 16 Mar No class: Spring Break
19 Mar No class: Spring Break
11 23 Mar Vertex Coloring West ch. 5.1 Lecture 13   |   Part 1   |   Part 2   |   Part 3
26 Mar More Coloring West ch. 5.2 Lecture 14   |   Part 1   |   Part 2   |   Part 3   |   Part 4
12 30 Mar Counting Colorings West ch. 5.3 Lecture 15   |   Part 1   |   Part 2   |   Part 3
2 Apr Chordal and Perfect Graphs West ch. 5.3 Part 1   |   Part 2
13 6 Apr Planarity West ch. 6.1 Lecture 17   |   Part 1   |   Part 2   |   Part 3
9 Apr Kuratowski's Theorem West ch. 6.2 Lecture 18   |   Video
14 13 Apr Coloring of Planar Graphs West ch. 6.3 Lecture 19
16 Apr Line Graphs, Edge Coloring West ch. 7.1 Lecture 20
14 20 Apr More Line Graphs West ch. 7.1 Lecture 21
23 Apr Hamiltonian Graphs West ch. 7.2 Lecture 22
16 27 Apr Final Review
29 Apr Final Exam Due West ch. 1-7, all Lecture Notes

Quizzes

Quiz #DateQuizSolution
1 16 Jan Quiz 1 Solution
2 30 Jan Quiz 2 Solution
3 6 Feb Quiz 3 Solution
4 20 Feb Quiz 4 Solution
5 27 Feb Quiz 5 Solution
6 26 Mar Quiz 6 Solution
7 2 Apr Quiz 7 Solution
8 9 Apr Quiz 8 Solution
9 16 Apr Quiz 9 Solution
10 23 Apr Quiz 10 Solution

Homework

Homeworks due at 11:59pm on the due date. No late homeworks will be accepted.

HW #Due DateHomeworkSolution
1 9 Feb HW 1 Solution
2 1 March HW 2 Solution
3 8 April HW 3 Solution
4 22 April HW 4 Solution