P4-structure, p-connected graphs, homogeneous set, perfect graphs. internet online journal journals electronic publisher publishing publish author authors scientific articles paper papers abstracts abstract Discrete Mathematics & Theoretical Computer Science"> DMTCS vol 5 no 1 (2002), pp. 127-146

Discrete Mathematics & Theoretical Computer Science

DMTCS

Volume 5 n° 1 (2002), pp. 127-146


author:Luitpold Babel and Andreas Brandstädt and Van Bang Le
title:Recognizing the P4-structure of claw-free graphs and a larger graph class
keywords:Claw-free graphs, reconstruction problem, P4-structure, p-connected graphs, homogeneous set, perfect graphs.
abstract:The P4-structure of a graph G is a hypergraph H on the same vertex set such that four vertices form a hyperedge in H whenever they induce a P4 in G. We present a constructive algorithm which tests in polynomial time whether a given 4-uniform hypergraph is the P4-structure of a claw-free graph and of (banner,chair,dart)-free graphs. The algorithm relies on new structural results for (banner,chair,dart)-free graphs which are based on the concept of p-connectedness. As a byproduct, we obtain a polynomial time criterion for perfectness for a large class of graphs properly containing claw-free graphs.

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

reference: Luitpold Babel and Andreas Brandstädt and Van Bang Le (2002), Recognizing the P4-structure of claw-free graphs and a larger graph class, Discrete Mathematics and Theoretical Computer Science 5, pp. 127-146
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
ps.gz-source:dm050109.ps.gz (69 K)
ps-source:dm050109.ps (281 K)
pdf-source:dm050109.pdf (179 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 Sun Jun 20 22:52:56 CEST 2004 by gustedt