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Electronic Journal of Combinatorics
Article . 2008 . Peer-reviewed
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Article . 2008
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The Minor Crossing Number of Graphs with an Excluded Minor

The minor crossing number of graphs with an excluded minor
Authors: Bokal, Drago; Fijavž, Gašper; Wood, David Richard;

The Minor Crossing Number of Graphs with an Excluded Minor

Abstract

The minor crossing number of a graph $G$ is the minimum crossing number of a graph that contains $G$ as a minor. It is proved that for every graph $H$ there is a constant $c$, such that every graph $G$ with no $H$-minor has minor crossing number at most $c|V(G)|$.

Country
Slovenia
Keywords

excluded minor, mathematics, graph theory, minor crossing number, grafovski minor, 05C62; 05C10, 05C83, Graph minors, minorsko prekrižno število, graph minor, info:eu-repo/classification/udc/519.17, Planar graphs; geometric and topological aspects of graph theory, teorija grafov, matematika, FOS: Mathematics, Mathematics - Combinatorics, crossing number, 05C62, Combinatorics (math.CO), graf, prekrižno število, 05C10, 05C83, prepovedan minor

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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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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selected citations
These citations are derived from selected sources.
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!
2
Average
Average
Average
Green
gold