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Journal of Combinatorial Theory Series B
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Journal of Combinatorial Theory Series B
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Hamiltonian Square-Paths

Hamiltonian square-paths
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1996 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series B, volume 67, pages 167-182 (issn: 0095-8956, Copyright policy )
Authors: Genghua Fan; Henry A. Kierstead;

doi: 10.1006/jctb.1996.0039

Hamiltonian Square-Paths

Abstract

It is shown that if the minimum degree of a graph \(G\) on \(n\) vertices is at least \((2n-1)/3\) then \(G\) contains a subgraph that can be obtained from a hamiltonian path by adding all edges joining vertices of distance two on the path.

Related Organizations
Keywords

Eulerian and Hamiltonian graphs, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, hamiltonian path, Paths and cycles, minimum degree, Theoretical Computer Science

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    		 28
    popularity
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    		 Top 10%
    influence
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    impulse
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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!
28
Top 10%
Top 10%
Average
hybrid