The rigidity of the graphs of homology spheres minus one edge

DOI10.1016/j.disc.2020.112135zbMath1448.05056arXiv1704.03484OpenAlexW3084287717MaRDI QIDQ2005731

Hailun Zheng

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1704.03484

zbMATH Keywords

homology spheresgeneric rigidityG-numbers

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Planar graphs; geometric and topological aspects of graph theory (05C10)

Cites Work

• Rigidity and the lower bound theorem. I
• A characterization of simplicial polytopes with \(g_{2}=1\)
• P.l. homeomorphic manifolds are equivalent by elementary shellings
• The rigidity of graphs. II
• Lower-bound theorems for pseudomanifolds
• Graph theorems for manifolds
• A characterization of homology manifolds with \(g_{2}\geq 2\)
• A proof of the lower bound conjecture for convex polytopes
• LOWER BOUND THEOREMS AND A GENERALIZED LOWER BOUND CONJECTURE FOR BALANCED SIMPLICIAL COMPLEXES
• The Rigidity of Graphs
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