Asymptotic Inequalities on the Parameters of a Strongly Regular Graph

被引：0
|
作者：
de Almeida Vieira, Luis Antonio [1 ]
机构：
[1] Univ Porto, Fac Engn, Dept Civil Engn, Oporto, Portugal
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
关键词：
EUCLIDEAN JORDAN ALGEBRAS;
D O I：
10.1063/1.4992202
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first consider a strongly regular G whose adjacency matrix is A, next we associate a real three dimensional Euclidean Jordan algebra A with rank three to the matrix A. Finally, from the analyze of the spectra of a binomial Hadamard Series of an element of A we establish asymptotical inequalities on the parameters of a strongly regular graph.
引用
收藏
页数：3
相关论文
共 50 条
  • [1] Exponential Inequalities over the Parameters of a Strongly Regular Graph
    Vieira, Luis Almeida
    Mano, Vasco Moco
    [J]. INNOVATIONS IN INDUSTRIAL ENGINEERING, 2022, : 121 - 133
  • [2] Euclidean Jordan Algebras and Inequalities on the Parameters of a Strongly Regular Graph
    de Almeida Vieira, Luis Antonio
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 995 - 998
  • [3] Hadamard Series and Inequalities over the Parameters of a Strongly Regular Graph
    de Almeida Vieira, Luis Antonio
    Mano, Vasco Moco
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [4] Generalized inequalities associated to the regularity of a strongly regular graph
    de Almeida Vieira, Luis Antonio
    [J]. JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2019, 19 (03) : 673 - 680
  • [5] STRONGLY REGULAR GRAPHS WITH THE SAME PARAMETERS AS THE SYMPLECTIC GRAPH
    Kubota, S.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2016, 13 : 1314 - 1338
  • [6] Majorants of the Generalized Krein Parameters of a Strongly Regular Graph
    de Almeida Vieira, Luis Antonio
    Mano, Vasco Moco
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 811 - +
  • [7] Automorphisms of a strongly regular graph with parameters (276, 75, 10, 24)
    A. A. Makhnev
    M. S. Samoilenko
    [J]. Doklady Mathematics, 2014, 90 : 485 - 488
  • [8] On the automorphisms of the strongly regular graph with parameters (85, 14, 3, 2)
    [J]. Discrete Math Appl, 2009, 1 (89-111):
  • [9] A New Construction of Strongly Regular Graphs with Parameters of the Complement Symplectic Graph
    Kabanov, Vladislav V.
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2023, 30 (01):
  • [10] On automorphisms of a strongly regular graph with parameters (88, 27, 6, 9)
    K. S. Efimov
    A. A. Makhnev
    [J]. Doklady Mathematics, 2012, 86 : 488 - 491
12345