Fall 2019  MATH 820 G100
Graph Theory (4)
Class Number: 4130
Delivery Method: In Person
Overview

Course Times + Location:
We, Fr 2:30 PM – 4:20 PM
AQ 5015, Burnaby

Instructor:
Bojan Mohar
mohar@sfu.ca
1 778 7824233
Description
CALENDAR DESCRIPTION:
Algebraic graph theory, extremal graph theory, coloring problems, path and cycle structure of graphs, application of graphs, hypergraphs, and current research topics.
COURSE DETAILS:
I. Matchings (Matchings in bipartite graphs. Matchings in general graphs. Tutte theorem. ErdosPosa Theorem. Path covers)
II. Connectivity (Menger’s Theorem. Mader’s Theorem. Linkages)
III. Planar Graphs and graphs on other surfaces
IV. Colorings and NowhereZero Flows (Planar graphs. Coloringflow duality. Cycle Double Cover Conjecture. List Coloring)
V. Substructures in Dense Graphs (Extremal graph theory. Regularity Lemma and its Applications. ErdÅ‘sStone theorem)
VI. Substructures in Sparse Graphs (Minors and topological minors. Immersions. BollobásThomason, KomlósSzeméredi Theorem. Hadwiger’s conjecture. Excluded Minor Theorem)
VII. Other topics from the textbook or from selected papers on some recent advances in graph theory.
Grading
 Homework (56 equally weighted assignments) 40%
 Final TakeHome Exam 60%
NOTES:
Note: MATH 820 classes will start in the second week of the semester.
Materials
REQUIRED READING:
1. R. Diestel: Graph Theory – 5th ed., SpringerVerlag, 2017. (Electronic copy is available for course use through the SFU Library.)
2. Selected papers concerning the topics of the course.
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/deangradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
Registrar Notes:
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s1001.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS