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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
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: |
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| 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 | ||||
| Related URLs: |
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