Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649706 | Discrete Mathematics | 2010 | 9 Pages |
Abstract
Given a simple graph GG on nn vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of GG, that is, from the collection of subgraphs obtained by removing a vertex from GG. These properties include the Krull dimension, the Hilbert function, and all the graded Betti numbers βi,jβi,j where j
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Kia Dalili, Sara Faridi, Will Traves,