2024 : 3 : 29
Doost Ali Mojdeh

Doost Ali Mojdeh

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, University of Mazandaran, Babolsar, Iran
Phone: 011-35302448

Research

Title
Outer independent double Italian domination
Type
Presentation
Keywords
(Outer independent) double Italian domination number, Italian domination number, Cartesian product graphs
Year
2021
Researchers Rouhollah Jalaei ، Doost Ali Mojdeh

Abstract

An outer independent double Italian dominating function is a double Italian dominating function f for which the set of vertices assigned 0 under f is independent. The outer independent double Italian domination number oidI (G) is the minimum weight taken over all outer independent double Italian dominating functions of G. In this work, we characterize Outer independent double Italian domination of some graph Cartesian products. Finally, we investigate the families of all graphs G such that $\gamma_{oidI} (G) = |V (G)|$ and for $\delta(G) \ge 2$, the graphs with this property are characterized.