Exponential Inequalities over the Parameters of a Strongly Regular Graph

• Type: Article in International Conference Proceedings Book
• Date: 2021-06-24

Authors

Luís Almeida Vieira (Author) FEUP; Vasco Moço Mano (Author) Other

Conference proceedings International

Title: INNOVATIONS IN INDUSTRIAL ENGINEERING

Pages: 121-133

1st International Conference on Innovation in Engineering (ICIE)

Guimaraes, PORTUGAL, JUN 28-30, 2021

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Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00V-7X8

DOI: 10.1007/978-3-030-78170-5_12

Abstract (EN): In this paper we work, in the context of Euclidean Jordan algebras, on the problem of finding admissibility inequalities for primitive strongly regular graphs. We connect each strongly regular graph to a particular Euclidean Jordan algebra A spanned by the natural powers of its adjacency matrix and by the identity matrix. By creating an exponential series with the elements of a Jordan frame of A, we are able to deduce some necessary conditions for the existence of a strongly regular graph.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13