Gromov hyperbolicity of Johnson and Kneser graphs-Reference-Cited by-同舟云学术

Gromov hyperbolicity of Johnson and Kneser graphs

Published:2024-05-08 Issue:3 Volume:98 Page:661-686
ISSN:0001-9054
Container-title:Aequationes mathematicae
language:en
Short-container-title:Aequat. Math.

Author:

Méndez Jesús,Reyes Rosalio,Rodríguez José M.,Sigarreta José M.

Abstract

AbstractThe concept of Gromov hyperbolicity is a geometric concept that leads to a rich general theory. Johnson and Kneser graphs are interesting combinatorial graphs defined from systems of sets. In this work we compute the precise value of the hyperbolicity constant of every Johnson graph. Also, we obtain good bounds on the hyperbolicity constant of every Kneser graph, and in many cases, we even compute its precise value.

Funder

Universidad Carlos III

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00010-024-01076-y.pdf

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