Degrees in link graphs of regular graphs

We analyse an extremal question on the degrees of the link graphs of a finite regular graph, that is, the subgraphs induced by non-trivial spheres. We show that if $\mathcal{G}$ is d-regular and connected but not complete then some link graph of $\mathcal{G}$ has inimum degree at most $\mathcal{⌊2d...

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Bibliographic Details
Main Authors: Benjamini, I, Haslegrave, J
Format: Journal article
Language:English
Published: Electronic Journal of Combinatorics 2022