On some distance-regular graphs with many vertices

被引：1
作者：
Crnkovic, Dean [1 ]
Rukavina, Sanja [1 ]
Svob, Andrea [1 ]
机构：
[1] Univ Rijeka, Dept Math, Radmile Matejcic 2, Rijeka 51000, Croatia
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2020年 / 51卷 / 04期
关键词：
Strongly regular graph; Distance-regular graph; Orthogonal group; Chevalley group; Tits group;
D O I：
10.1007/s10801-019-00888-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct distance-regular graphs, including strongly regular graphs, admitting a transitive action of the Chevalley groups G(2)(4) and G(2)(5), the orthogonal group O(7, 3) and the Tits group T = F-2(4)(2)'. Most of the constructed graphs have more than 1000 vertices, and the number of vertices goes up to 28431. Some of the obtained graphs are new.
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页码：641 / 652
页数：12
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