Random Subcomplexes and Betti Numbers of Random Edge Ideals

DOI10.1093/imrn/rnac014zbMath1515.05215arXiv2104.12882OpenAlexW4206389283MaRDI QIDQ6101114

Andrew Newman, Anton Dochtermann

Publication date: 31 May 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12882

zbMATH Keywords

homologyrandom simplician complexrandom quadratic monomial ideals

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Syzygies, resolutions, complexes and commutative rings (13D02) Simplicial sets and complexes in algebraic topology (55U10) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Combinatorial aspects of simplicial complexes (05E45)

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