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Title On the packing numbers in graphs
Type JournalPaper
Keywords Packing numbers, k-limited packing, upper bounds, graph.
Abstract In this paper, we find upper bounds on the open packing and k-limited packing numbers with emphasis on the cases k = 1 and k = 2. We solve the problem of characterizing all connected graphs on n vertices with ρo(G) = n/δ(G) which was raised in 2015 by Hamid and Saravanakumar. Also, by establishing a relationship between the k-limited packing number and double domination number we improve two upper bounds given by Chellali and Haynes in 2005.
Researchers Doost Ali Mojdeh (First Researcher), Hamid Reza Golmohammadi (Fourth Researcher), Abdollah Khodkar (Third Researcher), Babak Samadi (Second Researcher)