Cayley graphs with an infinite Heesch number
The electronic journal of combinatorics, Tome 23 (2016) no. 1
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.
DOI :
10.37236/5114
Classification :
05C25, 05C63
Mots-clés : Cayley graphs, Heesch number
Mots-clés : Cayley graphs, Heesch number
Affiliations des auteurs :
Azer Akhmedov  1
@article{10_37236_5114,
author = {Azer Akhmedov},
title = {Cayley graphs with an infinite {Heesch} number},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {1},
doi = {10.37236/5114},
zbl = {1331.05099},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5114/}
}
Azer Akhmedov. Cayley graphs with an infinite Heesch number. The electronic journal of combinatorics, Tome 23 (2016) no. 1. doi: 10.37236/5114
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