Maximizing the number of edges in optimal k-rankings

A k-ranking is a vertex k-coloring with positive integers such that if two vertices have the same color any path connecting them contains a vertex of larger color. The rank number of a graph is smallest k such that G has a k-ranking. For certain graphs G we consider the maximum number of edges that...

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Bibliographic Details
Main Authors: Rigoberto Flórez, Darren A. Narayan
Format: Article
Language:English
Published: Taylor & Francis Group 2015-07-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860015000067