Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry pg(5,5,2)
Combinatorics
2020-10-02 v2
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 in 1981.
Keywords
Cite
@article{arxiv.2009.09544,
title = {Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry pg(5,5,2)},
author = {Dean Crnković and Andrea Švob and Vladimir D. Tonchev},
journal= {arXiv preprint arXiv:2009.09544},
year = {2020}
}
Comments
11 pages