Comparing trees characteristic to chordal and dually chordal graphs
Chordal and dually chordal graphs possess characteristic tree representations, namely, clique trees and compatible trees, respectively. The following problem is studied: given a chordal graph G, it has to be determined if the clique trees of G are exactly the compatible trees of K(G). This does not...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | Argentina |
| Institution: | Universidad Nacional de La Plata |
| Repository: | SEDICI (UNLP) |
| Language: | English |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/162528 |
| Online Access: | http://sedici.unlp.edu.ar/handle/10915/162528 |
| Access Level: | Open access |
| Keyword: | Ciencias Exactas Matemática chordal graph dually chordal graph clique tree compatible tree |
| Summary: | Chordal and dually chordal graphs possess characteristic tree representations, namely, clique trees and compatible trees, respectively. The following problem is studied: given a chordal graph G, it has to be determined if the clique trees of G are exactly the compatible trees of K(G). This does not always happen. A necessary and sufficient condition so that it is true, in terms of the minimal vertex separators of the graph, is found. |
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