Graph Theory, Spring 2017
Class Info   |   Schedule   |   Problems/Quizzes

Class Info

Syllabus
Textbook: Introduction to Graph Theory (2nd Edition) by Douglas B. West
Meeting times: Monday and Thursday, 16:00-17:50 in 203 Ricketts
No Class: January 16; March 13 and 16; Feb 20 class on Feb 21

Course Instructor:
Prof. George M. Slota
slotag@rpi.edu
Office Hours: Tuesday at 14:00-16:00 in 317 Lally

Teaching Assistants:
Xin Lin (linxin506@gmail.com) and Shreya Banerjee (baners7@rpi.edu)
Office Hours:
Monday: Xin and Shreya at 14:00-16:00 in 119A Amos Eaton
Wednesday: Xin at 15:00-17:00 in 119A Amos Eaton

Lecture Notes and Readings

Note: Class schedule subject to change.

WeekClass DateTopicReadingsNotes and Code
1 16 Jan No class: MLK Day
19 Jan Introduction to Graphs, Definitions West ch. 1.1 Notes 1   |   Vertex Neighborhoods
2 23 Jan Isomorphism, Walks, Connectivity West ch. 1.1-1.2 Notes 2   |   Traversal
26 Jan Induction, Eulerian Circuits West ch. 1.2, Appendix A Notes 3   |   Traversal cont/Finding cycles
3 30 Jan Degrees, Graphic Sequences West ch. 1.3 Notes 4
2 Feb Directed Graphs West ch. 1.4 Notes 5
4 6 Feb PageRank Notes 6   |   PageRank   |   Game Data
9 Feb No class: weather
5 13 Feb Trees West ch. 2.1-2.2 Notes 7
16 Feb Tree Algorithms West ch. 2.3 Notes 8
6 21 Feb Matching West ch. 3.1-3.2 Notes 9
23 Feb More Matching Notes 10
7 27 Feb In-class Review Study Guide
2 Mar Midterm Exam West ch. 1-3.2
8 6 Mar Exam Solutions Exam   |   Solution
9 Mar General Graph Matching West Ch. 3.3 Notes 11
9 13 Mar No class: Spring Break
16 Mar No class: Spring Break
10 20 Mar Connectivity West Ch. 4.1 Notes 12
23 Mar More Connectivity West Ch. 4.2 Notes 13
11 27 Mar Network Flow West Ch. 4.3 Notes 14
30 Mar Coloring West Ch. 5.1 Notes 15   |   Coloring   |   Enron   |   GPlus   |   USRoads
12 3 Apr More Coloring West Ch. 5.2 Notes 16
6 Apr Counting Colors West Ch. 5.3 Notes 17
13 10 Apr Planarity West Ch. 6.1 Notes 18
13 Par Planarity Conditions West Ch. 6.2 Notes 19
14 17 Apr Four-color Theorem West Ch. 6.3 Notes 20
20 Apr Edge-coloring West Ch. 7.1 Notes 21
15 24 Apr Hamiltonian Cycles West Ch. 7.2 Notes 22
27 Apr More Hamiltonian Cycles Notes 23
16 1 May Final Review West ch. 1-7.2 Study Sheet   |   Practice Final   |   Solutions
4 May Study Days: No class
17 12 May Final Exam 11:30am-2:30pm Ricketts 203

Problem Sets and Quizzes

Note: Problems sets are "due" by the following Monday of the next week.
Problem sets won't be collected, but quiz and exams questions might be based on them.
Quizzes are based on the material and problem sets from the previous week.

WeekDateProblemsQuiz | Solution
1 16 Jan No problems No Quiz
2 23 Jan 1.1.2, 1.1.22, 1.1.24, 1.1.25, 1.1.31, 1.2.2, 1.2.15, 1.2.17, 1.2.34 No Quiz
3 30 Jan 1.3.1, 1.3.8, 1.3.12, 1.3.36, 1.3.57, 1.4.3, 1.4.10, 1.4.14, 1.4.29 Quiz 1   |   Solution
4 6 Feb 2.1.2, 2.1.12, 2.1.15, 2.1.29, 2.1.33 Quiz 2   |   Solution
5 13 Feb 2.2.2, 2.2.7, 2.2.17, 2.2.33, 2.3.2, 2.3.5, 2.3.10, 2.3.18, 2.3.21 Quiz 3   |   Solution
6 20 Feb 3.1.1, 3.1.13, 3.1.24, 3.1.29, 3.1.30, 3.2.3, 3.2.4, 3.2.11 Quiz 4   |   Solution
7 27 Feb No Quiz: Exam Week
8 6 Mar 3.3.2, 3.3.6, 3.3.16, 3.3.22 No Quiz
9 13 Mar Spring Break No Quiz
10 20 Mar 4.1.1, 4.1.8, 4.1.17, 4.1.28, 4.2.1, 4.2.11, 4.2.14, 4.2.18 Quiz 5   |   Solution
11 27 Mar 4.3.1, 4.3.4, 4.3.11, 5.1.1, 5.1.7, 5.1.2, 5.1.21 Quiz 6   |   Solution
12 3 Apr 5.2.4, 5.2.6, 5.2.7, 5.2.23, 5.3.1, 5.3.8, 5.3.10, 5.3.20, 5.3.23 Quiz 7   |   Solution
13 10 Apr 6.1.1, 6.1.3, 6.1.5, 6.1.13, 6.1.14, 6.1.21, 6.2.2, 6.2.5, 6.2.7, 6.2.12 Quiz 8   |   Solution
14 17 Apr 6.3.3, 6.3.5, 6.3.12, 6.3.15, 7.1.1, 7.1.2, 7.1.4, 7.1.6, 7.1.11, 7.1.26 Quiz 9   |   Solution
15 24 Apr 7.2.1, 7.2.4, 7.2.10, 7.2.12, 7.2.14 Quiz 10   |   Solution