Packing Parameters in Graphs
Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 1, pp. 5-16
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In a graph G = (V,E), a non-empty set S ⊆ V is said to be an open packing set if no two vertices of S have a common neighbour in G. An open packing set which is not a proper subset of any open packing set is called a maximal open packing set. The minimum and maximum cardinalities of a maximal open packing set are respectively called the lower open packing number and the open packing number and are denoted by ρ^L_o and ρ^o. In this paper, we present some bounds on these parameters.
Keywords:
packing number, open packing number
@article{DMGT_2015_35_1_a0,
author = {Sahul Hamid, I. and Saravanakumar, S.},
title = {Packing {Parameters} in {Graphs}},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {5--16},
publisher = {mathdoc},
volume = {35},
number = {1},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2015_35_1_a0/}
}
Sahul Hamid, I.; Saravanakumar, S. Packing Parameters in Graphs. Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/DMGT_2015_35_1_a0/