Cayley Graphs with an Infinite Heesch Number

Azer Akhmedov

Abstract


We construct a 2-generated group $\Gamma $ such that its Cayley graph possesses finite connected subsets with arbitrarily large finite Heesch number. Thus we obtain an example of a Cayley graph with an infinite Heesch number.

Keywords


Cayley graphs, Heesch number

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