Triangulated graphs and the elimination process

作者: Donald J Rose

DOI: 10.1016/0022-247X(70)90282-9

关键词: Independent setChordal graphSystem of linear equationsMathematicsDiscrete mathematicsGaussian eliminationProcess of eliminationGraphCombinatoricsStrongly chordal graphPositive-definite matrix

摘要: Abstract A triangulated graph is a in which for every cycle of length l > 3, there an edge joining two nonconsecutive vertices. In this paper we study graphs and show that they play important role the elimination process. The results have application numerical solution sparse positive definite systems linear equations by Gaussian elimination.

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