Algebraic Concepts in the Study of Graphs and Simplicial Complexes

This paper presents a survey of concepts in commutative algebra that have applications to topology and graph theory. The primary algebraic focus will be on Stanley-Reisner rings, classes of polynomial rings that can describe simplicial complexes. Stanley-Reisner rings are defined via square-free mon...

Full description

Bibliographic Details
Main Author: Zagrodny, Christopher Michael
Format: Others
Published: Digital Archive @ GSU 2006
Subjects:
Online Access:http://digitalarchive.gsu.edu/math_theses/7
http://digitalarchive.gsu.edu/cgi/viewcontent.cgi?article=1006&context=math_theses