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A decomposition theorem for chordal graphs and its applications

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Habib, Michel and Stacho, Juraj (2009) A decomposition theorem for chordal graphs and its applications. In: EuroComb 2009: European Conference on Combinatorics, Graph Theory and Applications, Bordeaux, France, 7-11 Sep 2009. Published in: Electronic Notes in Discrete Mathematics, Vol.34 pp. 561-565. ISSN 1571-0653. doi:10.1016/j.endm.2009.07.093

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Official URL: http://dx.doi.org/10.1016/j.endm.2009.07.093

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Abstract

We introduce a special decomposition, the so-called split-minors, of the reduced clique graphs of chordal graphs. Using this notion, we characterize asteroidal sets in chordal graphs and clique trees with minimum number of leaves.

Item Type: Conference Item (Paper)
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Electronic Notes in Discrete Mathematics
Publisher: Elsevier BV
ISSN: 1571-0653
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.34
Page Range: pp. 561-565
DOI: 10.1016/j.endm.2009.07.093
Status: Peer Reviewed
Publication Status: Published
Conference Paper Type: Paper
Title of Event: EuroComb 2009: European Conference on Combinatorics, Graph Theory and Applications
Type of Event: Conference
Location of Event: Bordeaux, France
Date(s) of Event: 7-11 Sep 2009
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