### Volume 9

n° 1 (2007), pp. 207-238author: | 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 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(V time recognition algorithm for probe split graphs. In this
article we give 4 (V+E))O(V 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.2 +VE) |

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |

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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Automatically produced on Tue Sep 18 21:59:16 CEST 2007 by falk