In this paper, we establish that for arbitrary positive integers k and m, where \(k > 1\), there exists a tournament which has exactly m minimum dominating sets of order k. A construction of such tournaments will be given.
Citation
Jack R. Duncan , Michael S. Jacobson . On Tournaments with Domination Number Exactly \(k\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 031. 129-136. DOI: .