New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group

Dean Crnković, Andrea Švob
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Abstract

A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.

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参数为(81,30,9,12)的强正则图的新例子,自同构群为一个简单群A5
在J. H. van Lint和A. Schrijver于1981年发现的已知的强正则图的满自同构群的某子群下,发现了一个具有参数(81,30,9,12)的新的强正则图。
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