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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
(Open) packing number of some graphproducts
Type
JournalPaper
Keywords
Packing number, open packing number, graph products
Year
2020
Journal DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
DOI
Researchers Doost Ali Mojdeh ، Iztok Peterin ، Babak Samadi ، Ismael Gonzalez Yero

Abstract

The packing number of a graph G is the maximum number of closed neighborhoods of vertices in G with pairwise empty intersections. Similarly, the open packing number of G is the maximum number of open neighborhoods in G with pairwise empty intersections. We consider the packing and open packing numbers on graph products. In particular we give a complete solution with respect to some properties of factors in the case of lexicographic and rooted products. For Cartesian, strong and direct products, we present several lower and upper bounds on these parameters.