Solutions of Some L(2, 1)-Coloring Related Open Problems

An L(2, 1)-coloring (or labeling) of a graph G is a vertex coloring f : V (G) → Z+ ∪ {0} such that |f(u) − f(v)| ≥ 2 for all edges uv of G, and |f(u)−f(v)| ≥ 1 if d(u, v) = 2, where d(u, v) is the distance between vertices u and v in G. The span of an L(2, 1)-coloring is the maximum color (or label)...

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Bibliographic Details
Main Authors: Mandal Nibedita, Panigrahi Pratima
Format: Article
Language:English
Published: Sciendo 2016-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
l(2
Online Access:https://doi.org/10.7151/dmgt.1858