Introducing subclasses of basic chordal graphs |
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| Affiliation: | 1. Universidad Nacional de Rosario, Argentina;2. CONICET and Universidad Nacional de Rosario, Argentina;3. University of Waterloo, Canada;1. Institute for Software Technology, University of Technology, Graz, Austria;2. Instituto de Matemáticas, Universidad Nacional Autónoma de México, D.F. México, México |
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| Abstract: | Basic chordal graphs arose when comparing clique trees of chordal graphs and compatible trees of dually chordal graphs. They were defined as those chordal graphs whose clique trees are exactly the compatible trees of its clique graph.In this work, we consider some subclasses of basic chordal graphs, like hereditary basic chordal graphs, basic DV and basic RDV graphs, we characterize them and we find some other properties they have, mostly involving clique graphs. |
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| Keywords: | Chordal graph dually chordal graph clique tree compatible tree |
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