Office hours: TTh 11:00am -12pm or by appointment
Text: Graph Theory,
second edition, R. Diestel.
Class Meetings: TTh 2:10-3:25 pm, room 098, Carver Hall
Topics:
In this course we shall discuss structural and
extremal properties of graphs.
An approximate list of topics covered each week:
Weeks 1-2: Basic notions: paths and
cycles, trees and forests, connectivity,
minors
Week
3:
Trees and optimization
Week
4:
Mathchings, factors
Weeks 5,6: Connectivity and paths
Weeks 7,8: Colorings (vertex,
edge, and others)
Week
9:
Planar graphs
Week 10:
Cycles; perfect graphs
Weeks 11,12: Extremal problems
Week 13:
Ramsey-type problems
Week 14:
Random graphs
Week 15:
Applications