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Title:
Invariants of Graphs, Their Associated Clique Complexes and Right-Angled Coxeter Groups
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Abstract:
Associated to any simplicial graph there is a right-angled Coxeter group. Invariants of the Coxeter group such as its growth series or its weighted L^2 Betti numbers can be computed from the graph's clique complex (i.e., its flag complex).
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