Article ID Journal Published Year Pages File Type
4649706 Discrete Mathematics 2010 9 Pages PDF
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

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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