Connectedness of spheres in Cayley graphs

We introduce the notion of connection thickness of spheres in a Cayley graph, related to dead-ends and their retreat depth. It was well-known that connection thickness is bounded for finitely presented one-ended groups. We compute that for natural generating sets of lamplighter groups on a line or o...

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Datum:2018
Hauptverfasser: Brieussel, J., Gournay, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/188410
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Connectedness of spheres in Cayley graphs / J. Brieussel, A. Gournay // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 190–246. — Бібліогр.: 40 назв. — англ.

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