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Discrete Mathematics
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Discrete Mathematics
Article . 1987
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Discrete Mathematics
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Open-interval graphs versus closed-interval graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1987Publisher:Elsevier BVJournal:Discrete Mathematics, volume 63, pages 97-100 (issn: 0012-365X, Copyright policy )
Authors: Hiroshi Maehara; Peter Frankl;

doi: 10.1016/0012-365x(87)90156-7

Open-interval graphs versus closed-interval graphs

Abstract

It is proved that a countable graph is a closed-interval graph if and only if it is an open-interval graph. A counter-example is given for uncountable graphs. Also the case of unit length intervals is studied.

Related Organizations
Keywords

Graph theory, interval graph, Discrete Mathematics and Combinatorics, infinite graph, Theoretical Computer Science

  • BIP!
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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).
    		 14
    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.
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    influence
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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!
14
Average
Top 10%
Average
hybrid