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Packing chromatic number of certain graphs
A. William,
Published in Academic Press
2013
Volume: 87
   
Issue: 6
Pages: 731 - 739
Abstract
The packing chromatic number Xp(G) of a graph G is the smallest integer k for which there exists a mapping II : V (G) → {1, 2, ⋯, k} such that any two vertices of color i are at distance at least i + 1. It is a frequency assignment problem used in wireless networks, which is also called broadcasting coloring. It is proved that packing coloring is NP-complete for general graphs and even for trees. In this paper, we study the packing chromatic number of comb graph, circular ladder, windmill, H-graph and uniform theta graph. © 2013 Academic Publications, Ltd.
About the journal
JournalInternational Journal of Pure and Applied Mathematics
PublisherAcademic Press
ISSN13118080