The Modified Negative Decision Number in Graphs

A mapping x:V→{-1,1} is called negative if ∑u∈N[v]x(u)≤1 for every v∈V. The maximum of the values of ∑v∈Vx(v) taken over all negative mappings x, is called the modified negative decision number and is denoted by βD′(G). In this paper, several sharp upper bounds of this number for a general graph are...

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Bibliographic Details
Main Author: Changping Wang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/135481
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