The Graph Theory AD


Graph Theory is a classical collection of material with applications to many fields especially Math and Computer Science. This course will assume no previous exposure to Graph Theory, but will assume the student has had experience in proving theorems. The material will start out by covering some of the classical elementary topics of Graph Theory but will end up with student projects reflecting their interests.
For the first two thirds or three quarters of the term weekly homework will be assigned. Each week 3 problems, usually proofs, will be assign and due the next week. The last part of the term provides time for each student to work on their own individual project. The project topic will need the instructors approval in advance.
(From the bulletin)
MAD 5305. Graph Theory (3). Prerequisite: Graduate Standing. Graphs and digraphs, trees and connectivity, Euler and Hamilton tours, colorings, matchings, planarity and Ramsey's theorem, applications. A proof-oriented course that assumes no previous exposure to graph theory but assumes a certain level of mathematical maturity.
last update 6 Jan 97.