The reconstruction conjecture and edge ideals

DOI10.1016/j.disc.2007.04.044zbMath1155.05047OpenAlexW2104170615WikidataQ122929346 ScholiaQ122929346MaRDI QIDQ952662

Sara Faridi, Will Traves, Kia Dalili

Publication date: 12 November 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.044

zbMATH Keywords

Hilbert functionKrull dimensionreconstruction problemedge idealsgraph reconstructiongraded Betti numberCohen Macauley graphs

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (1)

Depths of Powers of the Edge Ideal of a Tree

Uses Software

• Macaulay2

Cites Work

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• A congruence theorem for trees
• Splittable ideals and the resolutions of monomial ideals
• On the ideal theory of graphs
• Cohen-Macaulay graphs
• Characteristic-independence of Betti numbers of graph ideals
• On the Linear Strand of an Edge Ideal

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