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Electronic Journal of Combinatorics
Article . 2014 . Peer-reviewed
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Electronic Journal of Combinatorics
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Enumerating Hamiltonian Cycles

Enumerating Hamiltonian cycles
Authors: Ville Pettersson;

Enumerating Hamiltonian Cycles

Abstract

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.

Related Organizations
Keywords

dynamic programming, ta113, Eulerian and Hamiltonian graphs, ta213, ta111, Programming involving graphs or networks, Enumeration in graph theory, Dynamic programming, Hamiltonian cycles, enumeration, Graph algorithms (graph-theoretic aspects), Paths and cycles, ta512

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Top 10%
Average
gold