Combinatorics

MAD 6206

Fall 2025

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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)

This is one semester graduate level introductory course on combinatorics.

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

Attendance, small group problem sessions with instructor.

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