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   |   Part 1   |   Part 2
16 Apr Line Graphs, Edge Coloring West ch. 7.1 Lecture 20   |   Part 1   |   Part 2   |   Part 3
14 20 Apr More Line Graphs West ch. 7.1 Lecture 21   |   Part 1
23 Apr Hamiltonian Graphs West ch. 7.2 Lecture 22   |   Part 1
16 27 Apr Final Review
17 4 May Final Exam Due West ch. 1-7, all Lecture Notes Final

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 24 April HW 4 Solution