Proceedings of the 4th International Conference on New Computational Social Science (ICNCSS 2024)

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A Conjecture on the Classification of Symmetric-(m2 + n2 + 1, mn + 1, λ)-design with mn + 1 | m2 + n2

Authors
Delu Tian1, *, Guiqiu Li1
1School of Mathematics Uangdong, University of Education Guangzhou, Guangdong, 510303, People’s Republic of China
*Corresponding author. Email: tiandelu@gdei.edu.cn
Corresponding Author
Delu Tian
Available Online 29 April 2024.
DOI
10.2991/978-2-38476-230-9_14How to use a DOI?
Keywords
symmetric; block design; flag-transitive
Abstract

Suppose that,, and m, n ∈ N*, if divides, then there may be such a family of symmetric (v, k, λ) designs and the minimum value of v is 69.

Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 4th International Conference on New Computational Social Science (ICNCSS 2024)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
29 April 2024
ISBN
978-2-38476-230-9
ISSN
2352-5398
DOI
10.2991/978-2-38476-230-9_14How to use a DOI?
Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Delu Tian
AU  - Guiqiu Li
PY  - 2024
DA  - 2024/04/29
TI  - A Conjecture on the Classification of Symmetric-(m² + n² + 1, mn + 1, λ)-design with mn + 1 | m² + n²
BT  - Proceedings of the 4th International Conference on New Computational Social Science (ICNCSS 2024)
PB  - Atlantis Press
SP  - 116
EP  - 123
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-230-9_14
DO  - 10.2991/978-2-38476-230-9_14
ID  - Tian2024
ER  -