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: Tuesday at 5-6pm, Thursday at 7-8pm
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 Wellness Day
13 20 Apr Line Graphs, Edge Coloring West ch. 7.1 Video Lecture 24   |   Notes
24 Apr Hamiltonian Graphs West ch. 7.2 Video Lecture 25   |   Notes
14 27 Apr Planarity, Colorings, Cycles West ch. 7.3 Lecture 26
30 Apr Final Review West ch. 1-8 Video
15 7 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 Solution
12 21 Apr Quiz 12 Solution
13 3 May Quiz 13

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 Solution
7 7 May HW 7
Makeup 9 May Makeup