The easiest way to make an appointment or reach me in general is by email.
Lectures: Monday, Wednesday 4:00-5:15 PM (308 Science Hall 2).
Course Number: 28493
The cougar course page for Math 544 contains useful information, like the lecture notes, your grades, homework assignments, general announcements, and a discussion board for homework and other questions. You should check it regularly.
Diestel, Graph Theory (fourth edition), Springer Graduate Texts in Mathematics (2010).
Bondy and Murthy, Graph Theory, Springer Graduate Texts in Mathematics (2008).
These are the recommended textbook, and they are meant for supplementary reading. The lecture notes will be available from the web on the day of classes.
The course is open to upper level undergraduate students as well as graduate students. No knowledge in graph theory or combinatorics is required, since we will develop everything we need from first principles.
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January 22: | First day of classes |
Mid-late March: | Midterm Exam |
March 31: | Chavez day (no class) |
April 1-5: | Spring break (no class) |
May 7: | Last day of classes |
May 14: | Final Exam, 4:00-6:00 PM |
The goal of this course is to tackle a wide variety of questions of this type: suppose we have a large collection of objects which does not seem particularly organized, can we nevertheless find some patterns? The answer will always be: YES, within reason. So to some extent this means that total chaos is impossible.
More specifically, we cover my list of major theorems of Ramsey theory and related areas of graph theory (like extremal graph theory and random graphs), number theory, geometry and combinatorics. A draft of this list can be found on the course webpage. This list may be updated as we go along.