Non-canonical maximum cliques without a design structure in the block graphs of 2-designs

Non-canonical maximum cliques without a design structure in the block graphs of 2-designs Full article

Journal

Designs, Codes and Cryptography
ISSN: 0925-1022 , E-ISSN: 1573-7586

Output data

Year: 2024, Volume: 92, Number: 11, Pages: 3665–3675 Pages count : 11 DOI: 10.1007/s10623-024-01459-x

Tags

Block design · Canonical cliques · Non-canonical cliques · Subdesign

Authors

Goryainov Sergey ¹ , Konstantinova Elena V. ^2,3,4

Affiliations

1	School of Mathematical Sciences, Hebei International Joint Research Center for Mathematics and Interdisciplinary Science, Hebei Key Laboratory of Computational Mathematics and Applications, Hebei Normal University
2	Three Gorges Mathematical Research Center, China Three Gorges University
3	Sobolev Institute of Mathematics
4	Novosibirsk State University

In this note we answer positively a question of Chris Godsil and Karen Meagher on the existence of a 2-design whose block graph has a non-canonical maximum clique without a design structure.

Goryainov S. , Konstantinova E.V.
Non-canonical maximum cliques without a design structure in the block graphs of 2-designs
Designs, Codes and Cryptography. 2024. V.92. N11. P.3665–3675. DOI: 10.1007/s10623-024-01459-x WOS Scopus РИНЦ OpenAlex

Submitted:	Feb 19, 2024
Accepted:	Jul 8, 2024
Published online:	Jul 18, 2024
Published print:	Sep 30, 2024

Web of science:	WOS:001271470500001
Scopus:	2-s2.0-85198932486
Elibrary:	68904440
OpenAlex:	W4400773492

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