AbstractA triangulated graph is a graph in which for every cycle of length ℓ > 3, there is an edge joining two nonconsecutive vertices. In this paper we study triangulated graphs and show that they play an important role in the elimination process. The results have application in the study of the numerical solution of sparse positive definite systems of linear equations by Gaussian elimination
view of symmetric gaussian elimination is presented. Problems are viewed as an assembly of computati...
AbstractA triangulation of a graph G is a chordal graph on the same vertex-set that contains G as a ...
In this paper we propose a simple algorithm called CLIQUEMINTRIANG for computing a minimal triangula...
AbstractA triangulated graph is a graph in which for every cycle of length ℓ > 3, there is an edge j...
AbstractIn this paper a general theory of the elimination process (vertex elimination on a graph) is...
AbstractPerfect elimination schemes (p.e.s.) occur in a number of important problems such as perfect...
AbstractElimination Game is a well-known algorithm that simulates Gaussian elimination of matrices o...
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph ...
International audienceElimination Game is a well known algorithm that simulates Gaussian elimination...
AbstractThis paper discusses a method for recognizing certain graph classes based on elimination sch...
A graphical approach to solving simultaneous equations was tried in a previous paper by a signal flo...
AbstractAny given graph can be embedded in a chordal graph by adding edges, and the resulting chorda...
This paper surveys some of the recent research on the applications of the algebraic and combinatoria...
A graph is weakly triangulated if neither the graph nor its complement contains a chordless cycle on...
ABSTRACT. We generalize previous work done by Donald J. Rose and Robert E. Tarjan [2], who developed...
view of symmetric gaussian elimination is presented. Problems are viewed as an assembly of computati...
AbstractA triangulation of a graph G is a chordal graph on the same vertex-set that contains G as a ...
In this paper we propose a simple algorithm called CLIQUEMINTRIANG for computing a minimal triangula...
AbstractA triangulated graph is a graph in which for every cycle of length ℓ > 3, there is an edge j...
AbstractIn this paper a general theory of the elimination process (vertex elimination on a graph) is...
AbstractPerfect elimination schemes (p.e.s.) occur in a number of important problems such as perfect...
AbstractElimination Game is a well-known algorithm that simulates Gaussian elimination of matrices o...
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph ...
International audienceElimination Game is a well known algorithm that simulates Gaussian elimination...
AbstractThis paper discusses a method for recognizing certain graph classes based on elimination sch...
A graphical approach to solving simultaneous equations was tried in a previous paper by a signal flo...
AbstractAny given graph can be embedded in a chordal graph by adding edges, and the resulting chorda...
This paper surveys some of the recent research on the applications of the algebraic and combinatoria...
A graph is weakly triangulated if neither the graph nor its complement contains a chordless cycle on...
ABSTRACT. We generalize previous work done by Donald J. Rose and Robert E. Tarjan [2], who developed...
view of symmetric gaussian elimination is presented. Problems are viewed as an assembly of computati...
AbstractA triangulation of a graph G is a chordal graph on the same vertex-set that contains G as a ...
In this paper we propose a simple algorithm called CLIQUEMINTRIANG for computing a minimal triangula...
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