Discrete Mathematics & Theoretical Computer Science, Vol 9, No 1 (2007)

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DMTCS vol 9 no 1 (2007), pp. 207-238


Volume 9

n° 1 (2007), pp. 207-238

author:Le, Van Bang and de Ridder, H.N.
title:Probe split graphs
keywords:probe graphs, probe split, probe interval, graph class
abstract:An undirected graph
is a probe split graph if its vertex set can be partitioned into two sets,
(non-probes) and
(probes) where
is independent and there exists
E' ⊆ N× N
such that
G'=(V,E∪ E')
is a split graph. Recently Chang et al. gave an
time recognition algorithm for probe split graphs. In this article we give
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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reference: Le, Van Bang and de Ridder, H.N. (2007), Probe split graphs, Discrete Mathematics and Theoretical Computer Science 9, pp. 207-238
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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