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Implementing Brouwer's database of strongly regular graphs

机译:实施Brouwer的强正则图数据库

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摘要

Andries Brouwer maintains a public database of existence results for strongly regular graphs on n <= 1300 vertices. We have implemented most of the infinite families of graphs listed there in the open-source software Sagemath (The Sage Developers, http:// www. sagemath. org), as well as provided constructions of the "sporadic" cases, to obtain a graph for each set of parameters with known examples. Besides providing a convenient way to verify these existence results from the actual graphs, it also extends the database to higher values of n.
机译:Andries Brouwer为n <= 1300个顶点上的强规则图维护一个存在结果的公共数据库。我们已经实现了开源软件Sagemath(The Sage Developers,http://www.sagemath.org)中列出的大多数无穷图族,并提供了“零星”情况的构造,以获取带有已知示例的每组参数的图形。除了提供一种方便的方法来验证实际图形中的这些存在结果之外,它还将数据库扩展到更高的n值。

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