Combinatorics

MAD 6206

Fall 2025

 

__________________________

 

Time: MWF period 6

Place: Little 233

Phone: 352-294-2339

Office: 438 Little Hall

Email: avince@ufl.edu

 

References:

        Combinatorics: Topics, Techniques, Algorithms – P. Cameron 

        A Course in Combinatorics – van Lint and Wilson

        Enumerative Combinatorics Vol 1 – R. Stanley

        Graph Theory – R. Diestel

       

 

Office Hours: Monday, Wednesday, Friday – period 7

                     (or by appointment)

 


Combinatorics

      This is one semester graduate level introductory course on combinatorics.  

 


Topics 

   

 Enumeration  (weeks 1-6)

       Permutations, combinations, compositions, set and integer partitions

       Recursion and generating functions

       Inclusion-exclusion

       Enumeration under group action

Partially ordered sets (weeks 7-8)

       Mobius function

Graphs (9-13)

       Eulerian circuits and Hamiltonian cycles

       Minimum spanning tree and an introduction to complexity theory

      Coloring and planarity

 


Grades

      Attendance, small group problem sessions with instructor.

 


       

Campus Resources

       This course complies with all UF academic policies. For information on those polices and for resources for students, please see this link.