Power Series and Inequalities on the Parameters of a Strongly Regular Graph

• Type: Article in International Conference Proceedings Book
• Date: 2023-08-28

Authors

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

Conference proceedings International

Title: Lecture Notes in Mechanical Engineering

Pages: 89-99

2nd International Conference Innovation in Engineering, ICIE 2022

28 June 2022 through 30 June 2022

Indexing

Scopus - 0 Citations

Crossref

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00W-VSJ

DOI: 10.1007/978-3-031-09360-9_8

Abstract (EN): In the following, we deal with the problem of the existence of primitive strongly regular graphs with 1 in its spectrum and such that its regularity is between certain values with respect to the order of the graph. We consider the natural correspondence between the adjacency matrix of a strongly regular graph and the Euclidean Jordan algebra, B, generated by the natural powers of that matrix. Considering the spectrum of a constructed series of Hadamard powers an element of that Euclidean Jordan algebra B, we establish a necessary condition for the existence of this kind of primitive strongly regular graphs. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Language: English

Type (Professor's evaluation): Scientific