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

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.

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Bibliographische Detailangaben
Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2024-11, Vol.92 (11), p.3665-3675
Hauptverfasser: Goryainov, Sergey, Konstantinova, Elena V.
Format: Artikel
Sprache:eng
Schlagworte:
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
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Zusammenfassung: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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-024-01459-x