Some Sharp Bounds on the Negative Decision Number of Graphs

Let G = (V,E) be a graph. A function f : V → {-1,1} is called a bad function of G if ∑u∈NG(v) f(u) ≤ 1 for all v ∈ V where NG(v) denotes the set of neighbors of v in G. The negative decision number of G, introduced in [12], is the maximum value of ∑v∈V f(v) taken over all bad functions of G. In this...

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Bibliographic Details
Main Author: Liang Hongyu
Format: Article
Language:English
Published: University of Zielona Góra 2013-09-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1683