Applications of Graph Coloring

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Ufuktepe, Ünal

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Abstract

A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such a way that adjacent vertices / edges are colored differently. This paper discusses coloring and operations on graphs with Mathematica and webMathematica. We consider many classes of graphs to color with applications. We draw any graph and also try to show whether it has an Eulerian and Hamiltonian cycles by using our package ColorG

Description

International Conference on Computational Science and Its Applications - ICCSA 2005; 9 May 2005 through 12 May 2005

Keywords

Computational methods, Computer applications, Hamiltonians, Mathematical techniques, Computational science, Eulerian cycles, Graph coloring, Hamiltonian cycles, Graph theory, Hamiltonians, Graph theory, Eulerian cycles, Computational science, Computational methods, Computer applications, Mathematical techniques, Graph coloring, Hamiltonian cycles

Fields of Science

0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Citation

Ufuktepe, Ü., and Bacak, G. (2005). Applications of graph coloring. Lecture Notes in Computer Science, 3482(III), 522-528. doi:10.1007/11424857_55

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2

Volume

3482

Issue

III

Start Page

522

End Page

528
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Scopus : 2

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806

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705

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