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Calegari, Danny; Fujiwara, Koji

Counting subgraphs in hyperbolic graphs with symmetry. (English) Zbl 1323.05064

J. Math. Soc. Japan 67, No. 3, 1213-1226 (2015).
Summary: We confirm a conjecture of K. Saito [Publ. Res. Inst. Math. Sci. 46, No. 1, 37–113 (2010; Publ. Res. Inst. Math. Sci. 46, No. 1, 37–113 (2010; Zbl 1208.05057)] on the growth functions of graphs, which was originally posed for hyperbolic groups.

Cited in 10 Documents

MSC:

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
05C85 Graph algorithms (graph-theoretic aspects)
05A15 Exact enumeration problems, generating functions
05C30 Enumeration in graph theory
20F67 Hyperbolic groups and nonpositively curved groups
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)

Keywords:

growth functions; hyperbolic groups; Patterson-Sullivan measures; rational functions

Citations:

Zbl 1208.05057
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\textit{D. Calegari} and \textit{K. Fujiwara}, J. Math. Soc. Japan 67, No. 3, 1213--1226 (2015; Zbl 1323.05064)
Full Text: DOI arXiv Euclid

References:

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