Graph Theory, Spring 2023
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 4:00p.m. EST
Last Class: April 24th


Course Instructor:
Prof. George M. Slota (gmslota@gmail.com)
Office Hours: Monday/Thursday at 6-7pm in 317 Lally and by appointment for virtual
Webex: https://rensselaer.webex.com/meet/slotag


Teaching Assistant:
Neha Keshan (keshan@rpi.edu)
Office Hours: Tuesdays 9-11am and Wednesday 8-9am, virtual
Webex: https://rensselaer.webex.com/meet/keshan


Mentors:
Nicholas Desmarais (desman@rpi.edu)
Office Hours: Monday 12-2pm and Wednesday 12-1pm, in 118 AE
Webex: https://rensselaer.webex.com/meet/desman
Megan Goulet (goulem2@rpi.edu)
Office Hours: Tuesday and Friday 12-1:30pm, in 118 AE
Webex: https://rensselaer.webex.com/meet/goulem2

Lecture Notes and Readings

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

WeekDateTopicReadingsNotes
1 9 Jan Introduction to Graphs, Definitions West ch. 1.1 Intro Slides   |   Lecture 1   |   Notes   |   Intro Code   |   Test Graph   |   Video
12 Jan Isomorphism, Subraphs West ch. 1.1-1.2 Lecture 2   |   Notes   |   Video
2 16 Jan MLK Day: No class
19 Jan Decompositions, Walks, Induction West ch. 1.2 Lecture 3   |   Notes   |   Video
3 23 Jan Eulerian Circuits, Degrees, Graphic Sequences West ch. 1.3 Lecture 4   |   Notes   |   Video
26 Jan Directed Graphs West ch. 1.4 Lecture 5   |   Notes   |   Video
4 30 Jan Trees West ch. 2.1 Lecture 6   |   Notes   |   Bag o'Tricks   |   Video
2 Feb Tree Enumeration and Graceful Graphs West ch. 2.2 Lecture 7   |   Notes   |   Video
5 6 Feb Tree Algorithms West ch. 2.3 Lecture 8   |   Notes   |   Video
9 Feb Special Topic: PageRank
6 13 Feb Bipartite Matching West ch. 3.1-3.2
16 Feb General Matching, Covers, Independent Sets West ch. 3.3
7 21 Feb Connectivity (Note: Tuesday class) West ch. 4.1
23 Feb 2-connectivity, Biconnectivity West ch. 4.2
8 27 Feb In class review West ch. 1-3
2 Mar In-class exam West ch. 1-3
9 6 Mar Spring Break
9 Mar Spring Break
10 13 Mar k-connectivity West ch. 4.2
16 Mar Network flow West ch. 4.3
11 20 Mar Vertex Coloring West ch. 5.1
23 Mar More Coloring West ch. 5.2
12 27 Mar EVEN MORE COLORING, Perfect Graphs West ch. 5.3
30 Mar Planarity West ch. 6.1
13 3 Apr Kuratowski's Theorem West ch. 6.2
6 Apr Coloring of Planar Graphs West ch. 6.3
14 10 Apr Line Graphs, Edge Coloring West ch. 7.1
13 Apr Hamiltonian Graphs West ch. 7.2
15 17 Apr TBD
20 Apr TBD
16 24 Apr Final Review West ch. 1-7
27 Apr Study Day: No class
17 1-5 May Final Exam West ch. 1-7 TBD

Quizzes

Quizzes will be assigned most weeks. 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 #DateQuizSolution
1 12 Jan Quiz 1 Solution
2 19 Jan Quiz 2 Solution
3 26 Jan Quiz 3 Solution
4 2 Feb Quiz 4 Solution
5 9 Feb Quiz 5
6 16 Feb
7 23 Feb
8 16 Mar
9 23 Mar
10 30 Mar
11 6 Apr
12 13 Apr
13 20 Apr

Homework

Homeworks due at MIDNIGHT EST on the due date. 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: 3 late days total with a max of one late day per assignment.

HW #Due DateHomeworkSolution
1 6 Feb HW 1
2 15 Feb HW 2
3 25 Feb
4 25 Mar
5 1 Apr
6 15 Apr
7 22 Apr