On the clique number of a strongly regular graph

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 grap...

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Main Authors: Greaves, Gary Royden Watson, Soicher, Leonard H.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/146667
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1466672023-02-28T19:59:33Z On the clique number of a strongly regular graph Greaves, Gary Royden Watson Soicher, Leonard H. School of Physical and Mathematical Sciences Science::Mathematics Delsarte Bound Hoffman Bound 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. Published version 2021-03-04T07:13:56Z 2021-03-04T07:13:56Z 2018 Journal Article Greaves, G. R. W., & Soicher, L. H. (2018). On the clique number of a strongly regular graph. Electronic Journal of Combinatorics, 25(4), P4.15-. doi:10.37236/7873 1077-8926 https://hdl.handle.net/10356/146667 10.37236/7873 4 25 en Electronic Journal of Combinatorics © 2018 The Authors. Released under the CC BY-ND license (International 4.0). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Delsarte Bound
Hoffman Bound
spellingShingle Science::Mathematics
Delsarte Bound
Hoffman Bound
Greaves, Gary Royden Watson
Soicher, Leonard H.
On the clique number of a strongly regular graph
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Greaves, Gary Royden Watson
Soicher, Leonard H.
format Article
author Greaves, Gary Royden Watson
Soicher, Leonard H.
author_sort Greaves, Gary Royden Watson
title On the clique number of a strongly regular graph
title_short On the clique number of a strongly regular graph
title_full On the clique number of a strongly regular graph
title_fullStr On the clique number of a strongly regular graph
title_full_unstemmed On the clique number of a strongly regular graph
title_sort on the clique number of a strongly regular graph
publishDate 2021
url https://hdl.handle.net/10356/146667
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