
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
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.