Highly Influential

7 Excerpts

- Published 2008

Given a simple graph G on n vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of G, that is, from the collection of subgraphs obtained by removing a vertex from G. These properties include the Krull dimension, the Hilbert function, and all the graded Betti numbers i,j where j <n. We also state many further questions that arise from our study. © 2007 Elsevier B.V. All rights reserved. MSC: 05C60; 13F55

@inproceedings{Dalilia2008TheRC,
title={The reconstruction conjecture and edge ideals},
author={Kia Dalilia and Sara Faridia and Will Travesb},
year={2008}
}