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On the Clique Number of a Strongly Regular Graph

On the clique number of a strongly regular graph
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 Oct 2018Embargo end date: 01 Jan 2016 Singapore Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 25 (eissn: 1077-8926, Copyright policy )
Authors: Gary R. W. Greaves; Leonard H. Soicher;

doi: 10.37236/7873 , 10.48550/arxiv.1604.08299

arXiv: 1604.08299

handle: 10356/146667

On the Clique Number of a Strongly Regular Graph

Abstract

We determine new upper bounds for the clique numbers of strongly regular graphs in terms of their parameters. These bounds improve on the Delsarte bound for infinitely many feasible parameter tuples for strongly regular graphs, including infinitely many parameter tuples that correspond to Paley graphs.

Country
Singapore
Related Organizations
Keywords

block intersection polynomial, Delsarte Bound, conference graphs, clique adjacency bound, Delsarte bound, clique number, Hoffman bound, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, Combinatorics (math.CO), Science::Mathematics, Hoffman Bound, strongly regular graphs

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold