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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
Packing parameters in graphs: new bounds and a solution to an open problem
Type
JournalPaper
Keywords
Packing number, Open packing number, Nordhaus–Gaddum inequality, Open problem, Triangle-free graph
Year
2019
Journal JOURNAL OF COMBINATORIAL OPTIMIZATION
DOI
Researchers Babak Samadi ، Doost Ali Mojdeh

Abstract

In this paper,we investigate the packing parameters in graphs.By applying theMantel’s theorem, we give upper bounds on packing and open packing numbers of triangle-free graphs along with characterizing the graphs for which the equalities hold and exhibit sharp Nordhaus–Gaddum type inequalities for packing numbers. We also solve the open problem of characterizing all connected graphs with ρo(G) = n − ω(G) posed in Hamid and Saravanakumar (Discuss Math Graph Theory 35:5–16, 2015).