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A heuristic method for the determination of a Hamiltonian circuit in a graph

Published online by Cambridge University Press:  17 February 2009

Sudhangshu B. Karmakar
Sudhangshu B. Karmakar
Affiliation:
Bell Communications Research, Piscataway, NJ 08854, USA.
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Abstract

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A heuristic methodology for the identification of a circuit passing through all the vertices only once in a graph is presented. The procedure is based upon defining a normal form of a matrix and then transforming the adjacency matrix into its normal form. For a class of graphs known to be Hamiltonian, it is conjectured that this methodology will identify circuits in a small number of steps and in many cases merely by observation.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 3 , January 1987 , pp. 328 - 339
Copyright
Copyright © Australian Mathematical Society 1987

References

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