Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry
Document Type
Article
Publication Date
1-30-2021
Department
Department of Mathematical Sciences
Abstract
Twelve new strongly regular graphs with parameters (81, 30, 9, 12) are found as graphs invariant under certain subgroups of the automorphism groups of the two previously known graphs that arise from 2-weight codes. One of these new graphs is geometric and yields a partial geometry with parameters pg(5, 5, 2) that is not isomorphic to the partial geometry discovered by J. H. van Lint and A. Schrijver [13] in 1981.
Publication Title
Journal of Algebraic Combinatorics
Recommended Citation
Crnković, D.,
Švob, A.,
&
Tonchev, V.
(2021).
Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry.
Journal of Algebraic Combinatorics,
53, 253-261.
http://doi.org/10.1007/s10801-021-01012-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14622
Publisher's Statement
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature. Publisher’s version of record: https://doi.org/10.1007/s10801-021-01012-2