Courses:

Topics in Algebraic Combinatorics >> Content Detail

Syllabus

Prerequisite

A good background in undergraduate algebra such as Algebra I (18.701) and Algebra II (18.702).

Requirements

Homework will be due about once every two weeks. A paper of 6-12 pages related to algebraic combinatorics is due on the last class.

Outline

A tentative description of the first part of the course is as follows:

Course calendar.
Topic #	DESCRIPTIONS
1	Selection of Topics from Linear Algebra Odd Subsets with Even Intersections Partitioning the Edges of the Complete Graph K_n into Complete Bipartite Subgraphs The Nonuniform Fisher Inequality Odd Neighborhood Covers The Shannon Capacity of the 5-cycle
2	A Taste of Algebraic Number Theory: Circulant Hadamard Matrices
3	Commutative Algebra and the f-vectors of Simplicial Complexes
4	Exterior Algebra and the f-vectors of Simplicial Complexes