31 citations · 31 across the 2 of their papers we have counts for
2 papers
math.AC2012
Depths and Cohen-Macaulay Properties of Path Ideals
Daniel Campos, Ryan Gunderson, Susan Morey +2
Given a tree T on n vertices, there is an associated ideal I of a polynomial ring in n variables over a field, generated by all paths of a fixed length of T. We show that such an i…
math.AC2012★ 31 cited
Edge Ideals of Weighted Graphs
Chelsey Paulsen, Sean Sather-Wagstaff
We study weighted graphs and their "edge ideals" which are ideals in polynomial rings that are defined in terms of the graphs. We provide combinatorial descriptions of m-irreducibl…