Graph Theory, Spring 2022
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 10:00am EST
Last Class: April 25


Course Instructor:
Prof. George M. Slota (slota.rpi@gmail.com)
Office Hours: Monday/Thursday at 12-1pm in 317 Lally and by appointment for virtual
Webex: https://rensselaer.webex.com/meet/slotag


Teaching Assistant:
Neha Keshan (keshan@rpi.edu)
Office Hours: Tuesday/Wednesday 10-11:30am
Webex: https://rensselaer.webex.com/meet/keshan


Mentors:
Chris Jerrett (jerrec@rpi.edu)
Office Hours: Monday 1-2pm and Wednesday 8-10am
Webex: https://rensselaer.webex.com/meet/jerrec
William Hawkins (hawkiw2@rpi.edu)
Office Hours: Monday 2-4pm and Thursday 2-3pm
Webex: https://rensselaer.webex.com/meet/hawkiw2

Lecture Notes and Readings

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

WeekDateTopicReadingsNotes
1 10 Jan Introduction to Graphs, Definitions West ch. 1.1 Video   |   Intro Slides   |   Lecture 1   |   Notes   |   Intro Code   |   Test Graph
13 Jan Isomorphism West ch. 1.1-1.2 Video   |   Lecture 2   |   Notes
2 17 Jan MLK Day: No class
20 Jan Decompositions, Walks, Induction West ch. 1.2 Webex
3 24 Jan Eulerian Circuits, Degrees, Graphic Sequences West ch. 1.3
27 Jan Directed Graphs West ch. 1.4
4 31 Jan Trees West ch. 2.1
3 Feb Tree Enumeration and Graceful Graphs West ch. 2.2
5 7 Feb Tree Algorithms West ch. 2.3
10 Feb Special Topic: PageRank
6 14 Feb Bipartite Matching West ch. 3.1-3.2
17 Feb General Matching, Covers, Independent Sets West ch. 3.3
7 22 Feb Connectivity (Note: Tuesday class) West ch. 4.1
24 Feb 2-connectivity, Biconnectivity West ch. 4.2
8 28 Feb In class review West ch. 1-3
3 Mar In-class exam West ch. 1-3
9 7 Mar Spring Break
10 Mar Spring Break
10 14 Mar k-connectivity West ch. 4.2
17 Mar Network flow West ch. 4.3
11 21 Mar Special Topic: Random Graphs
24 Mar Special Topic: Epidemiology
12 28 Mar Vertex Coloring West ch. 5.1
31 Mar More Coloring West ch. 5.2
13 4 Apr EVEN MORE COLORING, Perfect Graphs West ch. 5.3
7 Apr Planarity West ch. 6.1
14 11 Apr Kuratowski's Theorem West ch. 6.2
14 Apr Coloring of Planar Graphs West ch. 6.3
15 18 Apr Line Graphs, Edge Coloring West ch. 7.1
21 Apr Hamiltonian Graphs West ch. 7.2
16 25 Apr Final Review West ch. 1-7
28 Apr Study Day: No class
17 Date TBD Final Exam West ch. 1-7

Quizzes

Quizzes will be assigned most weeks. For virtual classes, quizzes are due at NOON EST on the due date. For in-person classes, quizzes will be assigned and due in class. You can (and should!) work together on quizzes. Late quizzes will NOT be accepted in accordance with the policy in the syllabus.

Quiz #Due DateQuizSolution
1 14 Jan Quiz1
2 21 Jan

Homework

Homeworks due at MIDNIGHT EST on the due date, approximately two weeks after being released. Collaboration is allowed on homeworks, but you must do your own work. Late homeworks will be accepted in accordance with the policy in the syllabus.

HW #Due DateHomeworkSolution
1 28 Jan