Office hours:
R 2pm-3pm, MW 8:45am-9:45am
or by appointment
Text: Graph Theory,
second edition, Reinhard Diestel.
Additional text: Introduction to Graph Theory,
Douglas West.
Class Meetings: M,W 8:45am- 9:45 am, Th.2-3pm, room 002, Carver Hall
Topics:
In this course we shall discuss structural and
extremal properties of graphs.
The text used is "lean and concentrated on essential...and gets to the
heart of
the matter quickly".
- Basic notions: paths and cycles, trees and forests, connectivity,
minors
- Matchings
- Connectivity
- Planar graphs
- Colorings
- Substructures in dense and sparse graphs
- Ramsey theory for graphs
- Random graphs
Grading:
Grades will be based upon biweekly
homework assignments
(there will be no exams), and one or two in class projects.
Each assignment will contain 6 problems. Graduate students will be
expected
to solve any 5 out of these 6 problems. Undergraduate students
4, respectively.