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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
TOTAL AND CONNECTED DOMINATION IN CHEMICAL GRAPHS
Type
JournalPaper
Keywords
Total domination number, connected domination number, bondage number, hexagonal chains, pyrene.
Year
2018
Journal Italian Journal of Pure and Applied Mathematics
DOI
Researchers Leila Badakhshian ، Mohammad Habibi ، Doost Ali Mojdeh

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.