2016Global Society of Scientific Research and Researchers - International Journal of ComputerOpen access

Complementary Graph Coloring

Mohamed Al‐Ibrahim, Naser Al-Ibrahim, Yousef Rafique, Omar Al-Sumait

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Abstract

The objective of the Graph Coloring problem is to color vertices of a graph in such a way that no two vertices that share an edge are assigned the same color.Aircraft Scheduling, Frequency Assignment, register allocation are all real life applications that can be solved using graph coloring.Graph Coloring is a well-known NPcomplete problem to the academia in computer science and mathematics.In this paper we use the concept of complementary graphs to come up with a new heuristic for graph coloring.Our results are compared with an exact algorithm and other heuristic algorithms to evaluate our algorithm's performance.

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The objective of the Graph Coloring problem is to color vertices of a graph in such a way that no two vertices that share an edge are assigned the same color.Aircraft Scheduling, Frequency Assignment, register allocation are all real life applications that can be solved using graph coloring.Graph Coloring is a well-known NPcomplete problem to the academia in computer science and mathematics.In this paper we use the concept of complementary graphs to come up with a new heuristic for graph coloring.Our results are compared with an exact algorithm and other heuristic algorithms to evaluate our algorithm's performance.

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Available abstract

The objective of the Graph Coloring problem is to color vertices of a graph in such a way that no two vertices that share an edge are assigned the same color.Aircraft Scheduling, Frequency Assignment, register allocation are all real life applications that can be solved using graph coloring.Graph Coloring is a well-known NPcomplete problem to the academia in computer science and mathematics.In this paper we use the concept of complementary graphs to come up with a new heuristic for graph coloring.Our results are compared with an exact algorithm and other heuristic algorithms to evaluate our algorithm's performance.

Key concepts: Graph coloring, Fractional coloring, Edge coloring, Greedy coloring, List coloring, Computer science, Complete coloring, Graph power

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