1993 | OriginalPaper | Buchkapitel
An Introduction to Chordal Graphs and Clique Trees
verfasst von : Jean R. S. Blair, Barry Peyton
Erschienen in: Graph Theory and Sparse Matrix Computation
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Clique trees and chordal graphs have carved out a niche for themselves in recent work on sparse matrix algorithms, due primarily to research questions associated with advanced computer architectures. This paper is a unified and elementary introduction to the standard characterizations of chordal graphs and clique trees. The pace is leisurely, as detailed proofs of all results are included. We also briefly discuss applications of chordal graphs and clique trees in sparse matrix computations.