Generalized inequalities associated to the regularity of a strongly regular graph

Article type: Research Article

Authors: de Almeida Vieira, Luís António

Affiliations: Department of Cívil Engineering, Faculty of Engineering, University of Porto, Street Dr. Roberto Frias, s/n 0351-4200-465 Porto, Portugal | E-mail: [email protected]

Correspondence: [*] Corresponding author: Department of Cívil Engineering, Faculty of Engineering, University of Porto, Street Dr. Roberto Frias, s/n 0351-4200-465 Porto, Portugal. E-mail: [email protected].

Abstract: Let G be a primitive strongly regular graph of order n. We first define the Generalized Krein parameters of G. Next we establish some inequalities on the Generalized Krein parameters of a strongly regular graph and some admissibility conditions over their Krein parameters.

Keywords: Graph theory, associative algebra, matrix theory

DOI: 10.3233/JCM-193699

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 19, no. 3, pp. 673-680, 2019