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

Font Size:  Small  Medium  Large
DMTCS vol 9 no 1 (2007), pp. 207-238

DMTCS

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
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
4
(V+E))
time recognition algorithm for probe split graphs. In this article we give
O(V
2
+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.
  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.
ps.gz-source:dm090114.ps.gz (164 K)
ps-source:dm090114.ps (684 K)
pdf-source:dm090114.pdf (493 K)

The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.


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