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Two Tricks to Triangulate Chordal Probe Graphs in Polynomial Time (2004)  (Make Corrections)  (1 citation)
Anne Berry, Martin Charles Golumbic, Marina Lipshteyn



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Abstract: A graph G = (V; E) is chordal probe if its vertices can be partitioned into two sets P (probes) and N (non-probes) where N is a stable set and such that G can be extended to a chordal graph by adding edges between non-probes. The study of chordal probe graphs was originally motivated as a generalization of the interval probe graphs which occur in applications involving physical mapping of DNA. However, chordal probe graphs also have their own computational biology application as a special... (Update)

Cited by:   More
Weaving through a Crowd of Minimal Separators - Berry (2003)   (Correct)

Active bibliography (related documents):   More   All
1.8:   Recognizing and Triangulating Chordal Probe Graphs - Berry, Golumbic, Lipshteyn (2003)   (Correct)
1.2:   Graph Extremities and Minimal Separation - Berry (2003)   (Correct)
0.7:   Chordal Probe Graphs (Extended Abstract) - Golumbic, Lipshteyn   (Correct)

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BibTeX entry:   (Update)

A. Berry, M.C. Golumbic, and M. Lipshteyn. Two tricks to triangulate chordal probe graphs in polynomial time. Proceedings of Soda 2004, 2004. http://citeseer.ist.psu.edu/berry04two.html   More

@misc{ berry04two,
  author = "A. Berry and M. Golumbic and M. Lipshteyn",
  title = "Two tricks to triangulate chordal probe graphs in polynomial time",
  text = "A. Berry, M.C. Golumbic, and M. Lipshteyn. Two tricks to triangulate chordal
    probe graphs in polynomial time. Proceedings of Soda 2004, 2004.",
  year = "2004",
  url = "citeseer.ist.psu.edu/berry04two.html" }
Citations (may not include all citations):
488   Algorithmic Graph Theory and Perfect Graphs (context) - Golumbic - 1980
97   Incidence matrices and interval graphs (context) - Fulkerson, Gross - 1965
90   On rigid circuit graphs (context) - Dirac - 1961
25   Graph sandwich problems - Golumbic, Kaplan et al. - 1995
21   How to use the minimal separators of a graph for its chordal.. - Parra, Sche - 1995
16   Representation of a nite graph by a set of intervals on the .. (context) - Lekkerkerker, Ch - 1962
11   A wide-range ecient algorithm for minimal triangulation (context) - Berry - 1999
9   Construction of probe interval models - McConnell, Spinrad - 2002
8   A polynomial time recognition algorithm for probe interval g.. (context) - Johnson, Spinrad - 2001
7   A wide-range algorithm for minimal triangulation from an arb.. - Berry, Bordat et al.
6   Discrete Applied Mathematics (context) - McMorris, Wang et al. - 1998
6   Cambridge University Press (context) - Golumbic, Trenk - 2003
6   SIAM Monographs on Discrete Mathematics and Applications (context) - McKee, McMorris et al. - 1999
5   Chordal probe graphs (context) - Golumbic, Lipshteyn - 2003
3   Recognizing and triangulating chordal probe graphs - Berry, Golumbic et al. - 2003
3   Probe interval graphs and their application to physical mapp.. (context) - Zhang - 1994
2   Cycle free probe interval graphs (context) - Sheng - 1999

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Factoring and Recognition of Read-Once Functions Using.. - Golumbic, Mintz, Rotics (2004)   (Correct)
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