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Journal of Graph Theory
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Journal of Graph Theory
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Forbidden subgraphs that imply hamiltonian‐connectedness*

Forbidden subgraphs that imply Hamiltonian-connectedness
descriptionPublicationkeyboard_double_arrow_right Article 16 Apr 2002 Netherlands English Publisher:WileyJournal:Journal of Graph Theory, volume 40, pages 104-119 (issn: 0364-9024, eissn: 1097-0118, Copyright policy )
Authors: Hajo Broersma; Ralph J. Faudree; Andreas Huck; Huib Trommel; Henk Jan Veldman;

doi: 10.1002/jgt.10034

Forbidden subgraphs that imply hamiltonian‐connectedness*

Abstract

AbstractIt is proven that if G is a 3‐connected claw‐free graph which is also H1‐free (where H1 consists of two disjoint triangles connected by an edge), then G is hamiltonian‐connected. Also, examples will be described that determine a finite family of graphs ${\cal L}$ such that if a 3‐connected graph being claw‐free and L‐free implies G is hamiltonian‐connected, then L $\in \cal L$. © 2002 Wiley Periodicals, Inc. J Graph Theory 40: 104–119, 2002

Country
Netherlands
Related Organizations
Keywords

Claw-free graph, Eulerian and Hamiltonian graphs, IR-71892, Hamiltonian-connected, Forbidden subgraph, METIS-206789

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    selected citations
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    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).
    		 15
    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.
    		 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).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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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!
15
Top 10%
Top 10%
Average
bronze
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