Year: 2026
Type: preprint
Abstract: We show, under a certain assumption, that the Cheeger constant of a connected Cayley graphon is bounded from above in terms of its bipartiteness ratio, and also in terms of the gap between the top of the spectrum of its Laplacian and $2$. Using this result, we prove that if a connected Cayley graphon $C(G,γ)$ is bipartite, then there exists an index two subgroup $H$ of $G$ that avoids the support of $γ$.
Source: arXiv (Cornell University)
Author: Pokharanakar, Mugdha Mahesh
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: University Grants Commission
OpenAlex ID: W7216017824