June 10, 2023
Doost Ali Mojdeh

Doost Ali Mojdeh

Degree: Professor
Address: Department of Mathematics, University of Mazandaran, Babolsar, Iran
Education: Ph.D in Mathematics (Graph Theory and Combinatorics)
Phone: 011-35302448
Faculty: Faculty of Mathematical Sciences


Title On the distance domination number of bipartite graphs
Type Article
Domination‎, ‎$k$-distance domination‎, ‎connected bipartite
Journal Electronic Journal of Graph Theory and Applications
DOI 10.5614/ejgta.2020.8.2.11
Researchers Doost Ali Mojdeh (First researcher) , Seyed Reza Musawi (Second researcher) , Esmail Nazari (Third researcher)


A subset D ⊆ V(G) is called a k-distance dominating set of G if every vertex in V(G)-D is within distance k from some vertex of D‎. ‎The minimum cardinality among all k-distance dominating sets of G is called the k-distance domination number of G. ‎In this note we give upper bounds on the k-distance domination number of a connected bipartite graph‎, ‎and improve some results have been given like Theorems 2.1 and 2.7 in [Tian and Xu‎, ‎A note on distance domination of graphs‎, ‎Australasian Journal of Combinatorics‎, ‎43 (2009)‎, ‎181-190]‎.