Graph Theory, Spring 2021
Class Info   |   Schedule   |   Quizzes   |   Homeworks

Class Info

Syllabus
Textbook: Introduction to Graph Theory (2nd Edition) by Douglas B. West
Meeting times: Tuesday and Friday at 2:30pm EST
Last Class: April 30


Course Instructor:
Prof. George M. Slota (gmslota@gmail.com)
Office Hours: Monday at 7-8pm, Tuesday at 5-6pm
Webex: https://rensselaer.webex.com/meet/slotag


Teaching Assistant:
Neha Keshan (keshan@rpi.edu)
Office Hours: Wednesday 2-4pm and Friday 9:30-11am
Webex: https://rensselaer.webex.com/meet/keshan


Mentor:
Chris Jerrett (jerrec@rpi.edu)
Office Hours: Monday 6-8pm and Wednesday 10am-12pm
Webex: https://rensselaer.webex.com/meet/jerrec

Lecture Notes and Readings

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

WeekDateTopicReadingsClassNotes
1 26 Jan Introduction to Graphs, Definitions West ch. 1.1 Video Intro Slides   |   Lecture 1   |   Notes   |   Intro Code   |   Test Graph
29 Jan Isomorphism West ch. 1.1-1.2 Video Lecture 2   |   Notes
2 2 Feb Decompositions, Walks, Induction West ch. 1.2 Video Lecture 3   |   Notes
5 Feb Special Topic: PageRank West ch. 1.4 Video Lecture 4   |   Notes   |   Code   |   NFL Data
3 9 Feb Eulerian Circuits, Degrees, Graphic Sequences West ch. 1.3 Video Lecture 5   |   Notes
12 Feb Trees West ch. 2.1 Video Lecture 6   |   Notes
4 16 Feb Tree Enumeration and Graceful Graphs West ch. 2.2 Video Lecture 7   |   Notes
19 Feb Tree Algorithms West ch. 2.3 Video Lecture 8   |   Notes
5 23 Feb Bipartite Matching West ch. 3.1-3.2 Video Lecture 9   |   Notes
26 Feb General Matching, Covers, Independent Sets West ch. 3.3 Video Lecture 10   |   Notes
6 2 Mar Connectivity West ch. 4.1 Video Lecture 11   |   Notes
5 Mar 2-connectivity, Biconnectivity West ch. 4.2 Video Lecture 12   |   Notes
7 9 Mar k-connectivity West ch. 4.2 Womp Lecture 13   |   Notes
12 Mar Network flow West ch. 4.3 Video Lecture 14   |   Notes
8 16 Mar Special Topic: Random Graphs 1 Video Ref 1 Ref 2 Ref 3
19 Mar Special Topic: Random Graphs 2 Video Notes
9 23 Mar Special Topic: Epidemiology Video Notes   |   Ref 1 Ref 2 Ref 3
26 Mar Vertex Coloring West ch. 5.1 Video Lecture 18   |   Notes
10 30 Mar More Coloring West ch. 5.2 Video Lecture 19   |   Notes
2 Apr EVEN MORE COLORING, Perfect Graphs West ch. 5.3 Video Lecture 20   |   Notes
11 6 Apr Planarity West ch. 6.1 Video Lecture 21   |   Notes
9 Apr Kuratowski's Theorem West ch. 6.2 Video Lecture 22   |   Notes
12 13 Apr Coloring of Planar Graphs West ch. 6.3 Video Lecture 23   |   Notes
16 Apr Line Graphs, Edge Coloring West ch. 7.1
13 20 Apr More Line Graphs West ch. 7.1
24 Apr Hamiltonian Graphs West ch. 7.2
14 27 Apr Planarity, Colorings, Cycles West ch. 7.3
30 Apr Final Review West ch. 1-8
15 5 May Final Homework Due West ch. 1-8

Quizzes

Quizzes due at NOON EST on the due date. Late quizzes will not be accepted in accordance with the policy in the syllabus.

Quiz #Due DateQuizSolution
1 30 Jan Quiz 1 Solution
2 6 Feb Quiz 2 Solution
3 13 Feb Quiz 3 Solution
4 20 Feb Quiz 4 Solution
5 3 Mar Quiz 5 Solution
6 10 Mar Quiz 6 Solution
7 17 Mar Quiz 7 Solution
8 24 Mar Quiz 8 Solution
9 31 Mar Quiz 9 Solution
10 7 Apr Quiz 10 Solution
11 14 Apr Quiz 11
12 21 Apr
13 28 Apr
14 1 May

Homework

Homeworks due at MIDNIGHT EST on the due date. Late homeworks will be accepted in accordance with the policy in the syllabus.

HW #Due DateHomeworkSolution
1 10 Feb HW 1 Solution
2 24 Feb HW 2 Solution
3 12 Mar HW 3 Solution
4 26 Mar HW 4 Solution
5 9 April HW 5 Solution
6 23 April HW 6
7 5 May