Characterizations of Graphs Having Large Proper Connection Numbers

Let G be an edge-colored connected graph. A path P is a proper path in G if no two adjacent edges of P are colored the same. If P is a proper u − v path of length d(u, v), then P is a proper u − v geodesic. An edge coloring c is a proper-path coloring of a connected graph G if every pair u, v of dis...

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Bibliographic Details
Main Authors: Lumduanhom Chira, Laforge Elliot, Zhang Ping
Format: Article
Language:English
Published: Sciendo 2016-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1867