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 TOTAL AND CONNECTED DOMINATION IN CHEMICAL GRAPHS
Type Article
Keywords
Total domination number, connected domination number, bondage number, hexagonal chains, pyrene.
Journal Italian Journal of Pure and Applied Mathematics
DOI http://ijpam.uniud.it/online_issue/IJPAM_no-39-201
Researchers Doost Ali Mojdeh (First researcher) , Mohammad Habibi (Second researcher) , Leila Badakhshian (Third researcher)

Abstract

For a given graph G a subset D of the vertex-set V (G) of G is called a total dominating set if every vertex v 2 V (G) is adjacent to at least one vertex of D. The total domination number t(G) is the cardinality of the smallest total dominating set. Also D is called a connected dominating set if every vertex v 2 V (G)􀀀D is adjacent to at least one vertex in D and the induced subgraph hDi is connected. The connected domination number c(G) is the minimum cardinality taken over all connected dominating sets of G. In this paper, we determine the domination number, the total domination number and the connected domination number for some chemical graphs.