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Discrete Mathematics
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Discrete Mathematics
Article . 1973
License: Elsevier Non-Commercial
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Discrete Mathematics
Article . 1973 . Peer-reviewed
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The crossing number of the complement of a circuit

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1973 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 5, pages 335-344 (issn: 0012-365X, Copyright policy )
Authors: Anthony Hill; Richard K. Guy;

doi: 10.1016/0012-365x(73)90127-1

The crossing number of the complement of a circuit

Abstract

AbstractUpper and lower bounds for the crossing number of the graph formed by deletion of a hamilton circuit from the complete graph on n vertices are obtained, with exact values for n≤10 and for the rectilinear crossing number for n≤9.

Related Organizations
Keywords

Discrete Mathematics and Combinatorics, Planar graphs; geometric and topological aspects of graph theory, Theoretical Computer Science

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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!
8
Average
Top 10%
Average
hybrid