Graph Theory, Summer 2019
Class Info   |   Schedule   |   Quizzes   |   Homeworks

Class Info

Syllabus
Textbook: Introduction to Graph Theory (2nd Edition) by Douglas B. West
Meeting times: Monday, Tuesday, Thursday, Friday at 4-6:05pm in 214 Amos Eaton
No Class: May 27; Yes class on May 29

Course Instructor:
Prof. George M. Slota (gmslota@gmail.com)
Office Hours: Tuesday/Friday at 2-4pm in 317 Lally

Teaching Assistants:
Ben Abramowitz (abramb@rpi.edu), Angela Su (sua2@rpi.edu)
Office Hours:
Ben - Wednesday/Thusday 12-2pm in 127 Amos Eaton
Angela - Tuesday at 12-2pm, Wednesday at 2-4pm in 127 Amos Eaton

Lecture Notes and Readings

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

WeekClass DateTopicReadingsNotes
1 20 May Introduction to Graphs, Definitions West ch. 1.1 Notes 1   |   Intro Slides   |   Intro code   |   Test Graph
21 May Isomorphism, Induction, Walks, Connectivity West ch. 1.1-1.2 Notes 2   |   Traversal   |   Transport Graph
23 May Eulerian Circuits, Graphic Sequences, Digraphs West ch. 1.3 Notes 3   |   Vid 1   |   Vid 2
24 May Eulerian Diraphs and PageRank West ch. 1.4 Notes 4   |   PageRanks   |   NFL Graph
2 28 May DAGs, Trees West ch. 2.1-2.2 Notes 5
29 May Tree Algorithms West ch. 2.3 Notes 6
30 May Matching and Covers West ch. 3.1-3.2 Notes 7
31 May General Graph Matching West ch. 3.3 Notes 8
3 3 June Vertex and Edge Connectivity West ch. 4.1 Notes 9
4 June Ear Decompositions, Digraph Connectivity West ch. 4.2 Notes 10
6 June k-connectivity, Network Flow West ch. 4.2-4.3 Notes 11
7 June Network Flow West ch. 4.3 Notes 12
4 10 June In-class review Study Sheet   |   Practice Problems   |   Solutions
11 June Midterm (308 DCC) West ch. 1-4, Lectures 1-12 Solutions
13 June Vertex Coloring West ch. 5.1 Notes 13
14 June More Coloring West ch. 5.1-5.2 Notes 14   |   Greedy Coloring   |   Enron   |   GPlus   |   US Roads
5 17 June Even More Coloring West ch. 5.2-5.3 Notes 15
18 June Planarity West ch. 6.1 Notes 16
20 June Kuratowski's Theorem West ch. 6.2 Notes 17
21 June Coloring of Planar Graphs West ch. 6.3 Notes 18
6 24 June Line Graphs, Edge Coloring West ch. 7.1 Notes 19
25 June Hamiltonian Graphs West ch. 7.2 Notes 20
27 June Final Review Study Sheet   |   Practice Problems   |   Solutions
28 June Final Exam West ch. 1-7, all Lecture Notes

Quizzes

WeekDateQuizSolution
1 24 May Quiz 1   |   Solution
2 31 May Quiz 2   |   Solution
3 7 June Quiz 3   |   Solution
4 14 June Quiz 4   |   Solution
5 21 June Quiz 5   |   Solution

Homework

Homeworks due at 3:59pm on the due date. No late homeworks will be accepted.

WeekDue DateHomeworkSolution
1 28 May Homework 1   |   Solution
2 4 June Homework 2   |   Solution
3 10 June Homework 3   |   Solution
4 18 June Homework 4   |   Solution
5 26 June Homework 5   |   Solution