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Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry
Journal of Algebraic Combinatorics ( IF 0.6 ) Pub Date : 2021-01-30 , DOI: 10.1007/s10801-021-01012-2
Dean Crnković , Andrea Švob , Vladimir D. Tonchev

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.



中文翻译:

具有参数(81、30、9、12)的强规则图形和新的局部几何

发现了十二个新的带有参数(81、30、9、12)的强正则图,它们是在两个先前已知图的自同构群的某些亚群下由2权重代码产生的不变图。这些新图形之一是几何图形,并产生了参数pg(5,5,2)的局部几何图形,该参数与JH van Lint和A. Schrijver [13]在1981年发现的局部几何图形不是同构的。

更新日期:2021-01-31
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