Adjacent Vertex Distinguishing Proper Edge Colorings of Bicyclic Graphs
An adjacent vertex distinguishing proper edge coloring of a graph G is a proper edge coloring of G such that no pair of adjacent vertices meets the same set of colors. Let x'a(G) be the minimum number of colors required to give G an adjacent vertex distinguishing proper edge coloring. In this p...
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Published in | IAENG international journal of applied mathematics Vol. 48; no. 4; pp. 1 - 11 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Hong Kong
International Association of Engineers
01.11.2018
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Subjects | |
Online Access | Get full text |
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Summary: | An adjacent vertex distinguishing proper edge coloring of a graph G is a proper edge coloring of G such that no pair of adjacent vertices meets the same set of colors. Let x'a(G) be the minimum number of colors required to give G an adjacent vertex distinguishing proper edge coloring. In this paper, we show that x'a(G) < A(G) + 1 for bicyclic graphs G, where A(G) is the maximum degree of G. |
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ISSN: | 1992-9978 1992-9986 |