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Graphs and Combinatorics
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Graphs and Combinatorics
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Graphs and Combinatorics
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Properly Edge-colored Theta Graphs in Edge-colored Complete Graphs

descriptionPublicationkeyboard_double_arrow_right Article 28 Nov 2018 Netherlands English Publisher:Springer Science and Business Media LLCJournal:Graphs and Combinatorics, volume 35, pages 261-286 (issn: 0911-0119, eissn: 1435-5914, Copyright policy )
Authors: Ruonan Li; Ruonan Li; Shenggui Zhang; Hajo Broersma;

doi: 10.1007/s00373-018-1989-2

Properly Edge-colored Theta Graphs in Edge-colored Complete Graphs

Abstract

With respect to specific cycle-related problems, edge-colored graphs can be considered as a generalization of directed graphs. We show that properly edge-colored theta graphs play a key role in characterizing the difference between edge-colored complete graphs and multipartite tournaments. We also establish sufficient conditions for an edge-colored complete graph to contain a small and a large properly edge-colored theta graph, respectively.

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Netherlands
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UT-Hybrid-D

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    popularity
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    influence
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    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!
10
Top 10%
Average
Top 10%
hybrid
Related to Research communities
Netherlands Research Portal