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arXiv · 1004.4719

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

Tetsuya Hosaka
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Abstract

In this paper, we investigate a relation between finite graphs, simplicial flag complexes and right-angled Coxeter groups, and we provide a class of reconstructible finite graphs. We show that if $Γ$ is a finite graph which is the 1-skeleton of some simplicial flag complex $L$ which is a homology manifold of dimension $n \ge 1$, then the graph $Γ$ is reconstructible.

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Tetsuya Hosaka. 2015-03-10. Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups. https://arxiv.org/abs/1004.4719

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