Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 444
Characterization of doubly regular tournaments by spectral monomorphy
Imane Talbaoui, Abderrahim Boussairi, Imane Souktani, Mohamed Zouagui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2373
April 15, 2373

Abstract: A tournament is said to be k-spectrally monomorphic if all the k×k principal submatrices of its adjacency matrix have the same characteristic polynomial. In a given tournament, if all pairs of vertices jointly dominate the same number of vertices, then this tournament is called doubly regular. There are many structural and spectral characterizations of doubly regular tournaments [4, 12, 17, 16]. We give another characterization of this class using the k-spectral monomorphy.