A New Method For Geometric Representations of Distinct Hamiltonian Circuits in Complete Graph Decomposition

Maizon Mohd Darus, Haslinda Ibrahim, Sharmila Karim

Abstract



A new locating-vertex method to construct the distinct Hamiltonian circuits in complete graphs is presented namely Half Butterfly method. The isomorphism concept is employed to develop the distinct Hamiltonian circuits. The crux of this method is geometric representation, enumeration of complete graph order four is conducted.

Keywords


Complete graph, decomposition, Hamiltonian circuits, geometric representation.

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