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Non-canonical maximum cliques without a design structure in the block graphs of 2-designs. / Goryainov, Sergey; Konstantinova, Elena V.

In: Designs, Codes, and Cryptography, Vol. 92, No. 11, 11.2024, p. 3665-3675.

Research output: Contribution to journal › Article › peer-review

Harvard

Goryainov, S & Konstantinova, EV 2024, 'Non-canonical maximum cliques without a design structure in the block graphs of 2-designs', Designs, Codes, and Cryptography, vol. 92, no. 11, pp. 3665-3675. https://doi.org/10.1007/s10623-024-01459-x

APA

Goryainov, S., & Konstantinova, E. V. (2024). Non-canonical maximum cliques without a design structure in the block graphs of 2-designs. Designs, Codes, and Cryptography, 92(11), 3665-3675. https://doi.org/10.1007/s10623-024-01459-x

Vancouver

Goryainov S, Konstantinova EV. Non-canonical maximum cliques without a design structure in the block graphs of 2-designs. Designs, Codes, and Cryptography. 2024 Nov;92(11):3665-3675. doi: 10.1007/s10623-024-01459-x

Author

Goryainov, Sergey ; Konstantinova, Elena V. / Non-canonical maximum cliques without a design structure in the block graphs of 2-designs. In: Designs, Codes, and Cryptography. 2024 ; Vol. 92, No. 11. pp. 3665-3675.

BibTeX

@article{46331e31637745fc91fe3391ffaeb83f,
title = "Non-canonical maximum cliques without a design structure in the block graphs of 2-designs",
abstract = "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.",
keywords = "05B05, 05E30, Block design, Canonical cliques, Non-canonical cliques, Subdesign",
author = "Sergey Goryainov and Konstantinova, {Elena V.}",
note = "The authors thank R. Julian R. Abel for clarification the construction of the 2-(66,6,1) design from [7, p. 76]. The authors also thank Anton Betten for providing the database of designs constructed in [3]. The authors are grateful to Sam Adriaensen for attracting their attention to the publication [9]. Sergey Goryainov thanks Three Gorges Mathematical Research Center for organising his visit in October 2023 during which these results were obtained. Finally, the authors thank the anonymous referees whose valuable comments significantly improved the paper.",
year = "2024",
month = nov,
doi = "10.1007/s10623-024-01459-x",
language = "English",
volume = "92",
pages = "3665--3675",
journal = "Designs, Codes, and Cryptography",
issn = "0925-1022",
publisher = "Springer Netherlands",
number = "11",

}

RIS

TY - JOUR

T1 - Non-canonical maximum cliques without a design structure in the block graphs of 2-designs

AU - Goryainov, Sergey

AU - Konstantinova, Elena V.

N1 - The authors thank R. Julian R. Abel for clarification the construction of the 2-(66,6,1) design from [7, p. 76]. The authors also thank Anton Betten for providing the database of designs constructed in [3]. The authors are grateful to Sam Adriaensen for attracting their attention to the publication [9]. Sergey Goryainov thanks Three Gorges Mathematical Research Center for organising his visit in October 2023 during which these results were obtained. Finally, the authors thank the anonymous referees whose valuable comments significantly improved the paper.

PY - 2024/11

Y1 - 2024/11

N2 - 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.

AB - 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.

KW - 05B05

KW - 05E30

KW - Block design

KW - Canonical cliques

KW - Non-canonical cliques

KW - Subdesign

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85198932486&origin=inward&txGid=313f62165d77d77080b9a13bc0564d97

UR - https://elibrary.ru/item.asp?id=68904440

UR - https://www.mendeley.com/catalogue/361e3cc1-a26f-3f1c-8ea4-541ee9ac23bf/

U2 - 10.1007/s10623-024-01459-x

DO - 10.1007/s10623-024-01459-x

M3 - Article

VL - 92

SP - 3665

EP - 3675

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

SN - 0925-1022

IS - 11

ER -

ID: 60780575