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Information Processing Letters
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Information Processing Letters
Article . 2011 . Peer-reviewed
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On edge colorings of 1-planar graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:Elsevier BVJournal:Information Processing Letters, volume 111, pages 124-128 (issn: 0020-0190, Copyright policy )
Authors: Jianliang Wu; Xin Zhang;

doi: 10.1016/j.ipl.2010.11.001

On edge colorings of 1-planar graphs

Abstract

A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is shown that every 1-planar graph with maximum degree Δ?10 can be edge-colored with Δ colors. Research highlights? In the study we investigate the edge coloring of 1-planar graphs. ? We describe an associated plane graph of 1-planar and use the discharging method in the detail proofs. ? It is proved that every 1-planar graphs with maximum degree at least 10 is of class 1 in terms of the edge coloring.

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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!
51
Top 10%
Top 10%
Top 10%
bronze