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An introduction to chordal graphs and clique trees

Authors: Blair; J.R.S. (Tennessee Univ.; Knoxville; TN (United States). Dept. of Computer Science); Peyton; B.W. (Oak Ridge National Lab.; TN (United States));

An introduction to chordal graphs and clique trees

Abstract

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.

Country
United States
Keywords

Mathematics And Computers, Matrices, Diagrams 990200, 000, And Information Science, Computing, Mathematical Logic 990200* -- Mathematics & Computers, 99 General And Miscellaneous//Mathematics, Algorithms, 004, Diagrams

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average