February 9, 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

Research

Title Domination, total domination and open packing of the corcor domain of graphene
Type Article
Keywords
Graph, vertex, dominating set, domination number, total domination number.
Journal Facta Universitatis, Series: Mathematics and Informatics
DOI https://doi.org/10.22190/FUMI1904789M
Researchers Doost Ali Mojdeh (First researcher) , Mohammad Habibi (Second researcher) , Leila Badakhshian (Third researcher) , Amir Loghman (Fourth researcher)

Abstract

dominating set of a graph G = (V,E) is a subset D of V such that every vertex not in D is adjacent to at least one vertex in D. A dominating set D is a total dominating set, if every vertex in V is adjacent to at least one vertex in D. The set P is said to be an open packing set if no two vertices of P have a common neighbor in G. In this paper, we obtain domination number, total domination number and open packing number of the molecular graph of a new type of graphene named CorCor that is a 2-dimensional carbon network.