Name
Abstract | ||
|---|---|---|
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 βi,j where j<n. We also state many further questions that arise from our study. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.disc.2007.04.044 | Discrete Mathematics |
Keywords | Field | DocType |
05C60,13F55 | Hilbert space,Reconstruction conjecture,Discrete mathematics,Combinatorics,Betti number,Algebraic geometry,Algebraic topology,Vertex (geometry),Krull dimension,Hilbert series and Hilbert polynomial,Mathematics | Journal |
Volume | Issue | ISSN |
308 | 10 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kia Dalili | 1 | 24 | 3.51 |
| Sara Faridi | 2 | 10 | 3.13 |
| Will Traves | 3 | 3 | 2.44 |