A construction of directed strongly regular graphs with parameters (63,11,8,1,2)

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2024-06-28 DOI:10.1016/j.disc.2024.114146

Andries E. Brouwer , Dean Crnković , Andrea Švob

引用次数: 0

Abstract

In this paper, we prove the existence of directed strongly regular graphs with parameters $(63, 11, 8, 1, 2)$ . We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obtained from the other by reversing all arrows. Both directed strongly regular graphs have $L_{2} (8) : 3$ as the full automorphism group.

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构建参数为 (63,11,8,1,2) 的有向强规则图

本文证明了参数为 (63,11,8,1,2) 的有向强规则图的存在性。我们构造了一对非同构的 dsrg(63,11,8,1,2)，其中一个是通过反转所有箭头从另一个得到的。这两个有向强规则图的全自形群都是 L2(8):3。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.