Augmenting the Delsarte bound: a forbidden interval for the order of maximal cliques in strongly regular graphs

In this paper, we study the order of a maximal clique in an amply regular graph with a fixed smallest eigenvalue by considering a vertex that is adjacent to some (but not all) vertices of the maximal clique. As a consequence, we show that if a strongly regular graph contains a Delsarte clique, then...

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Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Koolen, Jack H., Park, Jongyook
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/159972
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Institution: Nanyang Technological University
Language: English