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Properly colored paths and cycles

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2011 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 159, pages 1,391-1,397 (issn: 0166-218X, Copyright policy )
Authors: Fujita, Shinya; Magnant, Colton;

doi: 10.1016/j.dam.2011.06.005

Properly colored paths and cycles

Abstract

AbstractIn an edge-colored graph, let dc(v) be the number of colors on the edges incident to v and let δc(G) be the minimum dc(v) over all vertices v∈G. In this work, we consider sharp conditions on δc(G) which imply the existence of properly edge-colored paths and cycles, meaning no two consecutive edges have the same color.

Related Organizations
Keywords

Properly colored paths, Applied Mathematics, Properly colored cycles, Discrete Mathematics and Combinatorics, Edge-colored graphs, Mathematics, Education

  • BIP!
    Impact byBIP!
    citations
    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).
    		 42
    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.
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citations
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!
42
Top 10%
Top 10%
Average
hybrid