Euclidean Jordan Algebras and Inequalities on the Parameters of a Strongly Regular Graph

• Type: Article in International Conference Proceedings Book
• Date: 2009

Authors

vieira, lad (Author) FEUP

Conference proceedings International

Title: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

Pages: 995-998

International Conference on Numerical Analysis and Applied Mathematics

Rethymno, GREECE, SEP 18-22, 2009

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ISI Web of Knowledge - 4 Citations

ISI Web of Science

Scopus - 7 Citations

Crossref

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-RG9

DOI: 10.1063/1.3241655

Abstract (EN): Let tau be a strongly regular graph with three distinct eigenvalues. We associate a three dimensional Euclidean Jordan algebra V to the adjacency matrix of tau. Next we define the generalized Krein parameters of the strongly regular graph tau. Finally, we show that the generalized Krein parameters of a strongly regular graph are real numbers between 0 and 1, and we establish necessary conditions for the existence of a strongly regular graph.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4