Vertex and edge colorings

Discussed mainly in this paper are proper vertex and edge colorings of graphs. A proper vertex coloring of a graph G is an assignment of colors to the vertices of G. One color to each vertex, so that adjacent vertices are assigned different colors. Similarly, a proper edge coloring is an assignment...

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Bibliographic Details
Main Authors: Ramos, Ma. Jasmin L., Tan, Richard C.
Format: text
Language:English
Published: Animo Repository 1995
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16263
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Institution: De La Salle University
Language: English
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Summary:Discussed mainly in this paper are proper vertex and edge colorings of graphs. A proper vertex coloring of a graph G is an assignment of colors to the vertices of G. One color to each vertex, so that adjacent vertices are assigned different colors. Similarly, a proper edge coloring is an assignment of colors edges of G so that adjacent edges are assigned different colors. In addition, examples of applications of proper coloring of a graph in solving practical mathematical problems are provided. There is a computer program that implements two of such applications, one for each type of coloring.