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Discrete Mathematics & Theoretical Computer Science
Article . 2007 . Peer-reviewed
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Hal
Article . 2007
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https://doaj.org/article/b8f78...
Article . 2007 . Peer-reviewed
License: CC BY
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Discrete Mathematics & Theoretical Computer Science
Article . 2007 . Peer-reviewed
License: CC BY
Data sources: DOAJ
DBLP
Article . 2007
Data sources: DBLP
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Probe split graphs

Authors: Le, van Bang; Ridder, H. N.;

Probe split graphs

Abstract

Graphs and Algorithms An undirected graph G=(V,E) is a probe split graph if its vertex set can be partitioned into two sets, N (non-probes) and P (probes) where N is independent and there exists E' ⊆ N× N such that G'=(V,E∪ E') is a split graph. Recently Chang et al. gave an O(V4(V+E)) time recognition algorithm for probe split graphs. In this article we give O(V2+VE) time recognition algorithms and characterisations by forbidden induced subgraphs both for the case when the partition into probes and non-probes is given, and when it is not given.

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Keywords

[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Mathematics

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citations
The total number of citations received by all articles of the researcher of interest.
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!
views
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2
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Published in a Diamond OA journal