Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups

zbMath1335.57008arXiv1004.4719MaRDI QIDQ902247

Tetsuya Hosaka

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4719

zbMATH Keywords

reconstruction conjecturehomology manifoldright-angled Coxeter group

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (2)

The reconstruction conjecture for finite simple graphs and associated directed graphs ⋮ Vertex-substitution framework verifies the reconstruction conjecture for finite undirected graphs

Cites Work

• A congruence theorem for trees
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Boundaries of cocompact proper CAT(0) spaces.
• Poincaré duality and groups of type (FP)
• Determination up to isomorphism of right-angled Coxeter systems.
• Local homology properties of boundaries of groups
• Characteristic rank of vector bundles over Stiefel manifolds
• Graph reconstruction—a survey
• Computer reconstruction of small graphs
• On the virtual cohomological dimensions of Coxeter groups
• On the cohomology of Coxeter groups.
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