Office Hours
   Thursday 11:00 AM - 12:00 PM and 5:00 PM - 6:00 PM

    Solutions to Exam 3 are online.

  Quiz 11 solutions are online (updated to provide a solution to part e).

   Some of the presentations in class are online.
   Ramsey Theory and Chromatic Number
  [Click the mouse to view each new slide.]

   Solutions to Practice Exam 3A
   Practice Exam 3B
   Solutions to Practice Exam 3B
   Note In problem #9 of practice exam 3B, the '16' should be '21'.
   Detailed Solutions to the Review Sheet for Exam 3

  Note that there was a typo in problem #11 and the duplicate problem #20
  was remvoved. Also the beta in problem 2 should be an alpha.
   
  Here is an improved version of the chromatic polynomial handout.

    The elementary graph applet - use Internet Explorer.
    Embedding K7 in a torus – the movie.
    Planar graph basics – the Movie