On a family of strongly regular graphs with λ=1

被引：2
|
作者：
Bondarenko, Andriy V. [1 ,3 ]
Radchenko, Danylo V. [1 ,2 ]
机构：
[1] Natl Taras Shevchenko Univ, Dept Math Anal, UA-01033 Kiev, Ukraine
[2] Max Planck Inst Math, D-53111 Bonn, Germany
[3] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 2013年 / 103卷 / 04期
关键词：
Strongly regular graph; Automorphism group; Brouwer-Haemers graph; Games graph; CODES; UNIQUENESS;
D O I：
10.1016/j.jctb.2013.05.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a complete description of strongly regular graphs with parameters ((n(2) + 3n - 1)(2), n(2)(n + 3), 1, n(n + 1)). All possible such graphs are: the lattice graph L-3,L-3 with parameters (9, 4, 1, 2), the Brouwer-Haemers graph with parameters (81, 20, 1, 6), and the Games graph with parameters (729, 112, 1,20). (C) 2013 Elsevier Inc. All rights reserved.
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页码：521 / 531
页数：11
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