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 463
About the determinant of tournaments
Sara Ezzahir, Abderrahim Boussairi, Soukaina Mahzoum, Soufiane Lakhlifi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2386
April 15, 2386

Abstract: Given an n-tournament T with vertex set {v1, . . . , vn}, the skew-adjacency matrix of T is the n × n zero-diagonal matrix S = [sij], such that sij = 1 if vi dominates vj and sij = −1 if vj dominates vi. In this talk we are particularly interested in the study of determinant of tournaments.