The set of connective constants of Cayley graphs contains a Cantor space
S\'ebastien Martineau
TL;DR
This paper proves that the set of connective constants for Cayley graphs is topologically rich, containing a Cantor space, which highlights the complexity and diversity of these constants.
Contribution
It demonstrates that the set of connective constants of Cayley graphs includes a Cantor space, revealing its intricate topological structure.
Findings
The set of connective constants contains a Cantor space.
The topological complexity of the set is established.
The result advances understanding of Cayley graph properties.
Abstract
The purpose of this note is to prove that the set of connective constants of Cayley graphs contains a Cantor space.
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