Enumerating Hamiltonian Cycles

A dynamic programming method for enumerating hamiltonian cycles in arbitrary graphs is presented. The method is applied to grid graphs, king's graphs, triangular grids, and three-dimensional grid graphs, and results are obtained for larger cases than previously published. The approach can easil...

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Bibliographic Details
Published in:The Electronic journal of combinatorics Vol. 21; no. 4
Main Author: Pettersson, Ville H.
Format: Journal Article
Language:English
Published: 09-10-2014
Online Access:Get full text
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Summary:A dynamic programming method for enumerating hamiltonian cycles in arbitrary graphs is presented. The method is applied to grid graphs, king's graphs, triangular grids, and three-dimensional grid graphs, and results are obtained for larger cases than previously published. The approach can easily be modified to enumerate hamiltonian paths and other similar structures.
ISSN:1077-8926
1077-8926
DOI:10.37236/4510