Math 355: Graph Theory
From MathWiki
Contents
Catalog Information
Title
Graph Theory.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
W
Prerequisite
Description
Maps, graphs and digraphs, coloring problems, applications.
Desired Learning Outcomes
Prerequisites
Math 313.
Minimal learning outcomes
Graphs, trees, pathes and cycles, connectedness, chromatic number, planarity conditions, genus of a graph, the Five Color Theorem. Students should also be aware of Kuratowsky's Theorem, and the Four Color Theorem. If there is time, it is good to do the proof of Kuratowski's Theorem.
Textbooks
Possible textbooks for this course include (but are not limited to):
- Graph Theory by Rusell Merris
- Applied Combinatorics by Alan Tucker (Chapters 1-4 on Graph Theory).
A good additional resource is An Introduction to Graph Theory by Douglas B. West, but the book is probably too encyclopedic to use as a main text.
Additional topics
Possible other topics include spectral theory of graphs.