论文标题
具有参数(81,30,9,12)和新的部分几何PG(5,5,2)的强烈规则图(81,30,9,12)
Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry pg(5,5,2)
论文作者
论文摘要
在两个先前已知的图表的自动形态组的某些亚组中,发现了十二个具有参数(81,30,9,12)的新型新定期图(81,30,9,12),该图是图形不变的。这些新图之一是几何形状,并产生一个部分几何形状,具有参数pg(5,5,2),这与1981年J. H. van Lint和A. Schrijver发现的部分几何形状不是同构。
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.