In this paper we propose a simple algorithm called CliqueMinTriang for computing a minimal triangulation of a graph. If F is the set of edges that is added to G to make it a complete graph Kn then the asymptotic complexity of CliqueMinTriang is O(|F|(δ2+|F|)) where δ is the degree of the subgraph of Kn induced by F. Therefore our algorithm performs well when G is a dense graph. We also show how to exploit the existing minimal triangulation techniques in conjunction with CliqueMinTriang to efficiently find a minimal triangulation of nondense graphs. Finally we show how the algorithm can be adapted to perform a backward stepwise selection of decomposable Markov networks; the resulting procedure has the same time complexity as that of existing...
The currently most efficient algorithm for inference with a probabilistic network builds upon a tr...
The Minimum Degree Algorithm, one of the classical algorithms of sparse matrix computations, is a he...
AbstractA chordal graph H is a triangulation of a graph G if H is obtained by adding edges to G. If ...
In this paper we propose a simple algorithm called CliqueMinTriang for computing a minimal triangula...
AbstractIn this paper we propose a simple algorithm called CliqueMinTriang for computing a minimal t...
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph ...
AbstractAny given graph can be embedded in a chordal graph by adding edges, and the resulting chorda...
AbstractWe propose an algorithm for minimal triangulation which, using simple and efficient strategy...
We propose an algorithm for minimal triangulation which, using simple and efficient strategy, subdiv...
We study the problem of minimal triangulation of graphs. One of the rst algorithms to solve this pro...
The problem of computing minimal triangulations, or minimal ll, of graphs was introduced and solved ...
AbstractPermutation graphs form a well-studied subclass of cocomparability graphs. Permutation graph...
International audienceElimination Game is a well known algorithm that simulates Gaussian elimination...
In one procedure for finding the maximal prime decomposition of a Bayesian network or undirected gra...
AbstractElimination Game is a well-known algorithm that simulates Gaussian elimination of matrices o...
The currently most efficient algorithm for inference with a probabilistic network builds upon a tr...
The Minimum Degree Algorithm, one of the classical algorithms of sparse matrix computations, is a he...
AbstractA chordal graph H is a triangulation of a graph G if H is obtained by adding edges to G. If ...
In this paper we propose a simple algorithm called CliqueMinTriang for computing a minimal triangula...
AbstractIn this paper we propose a simple algorithm called CliqueMinTriang for computing a minimal t...
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph ...
AbstractAny given graph can be embedded in a chordal graph by adding edges, and the resulting chorda...
AbstractWe propose an algorithm for minimal triangulation which, using simple and efficient strategy...
We propose an algorithm for minimal triangulation which, using simple and efficient strategy, subdiv...
We study the problem of minimal triangulation of graphs. One of the rst algorithms to solve this pro...
The problem of computing minimal triangulations, or minimal ll, of graphs was introduced and solved ...
AbstractPermutation graphs form a well-studied subclass of cocomparability graphs. Permutation graph...
International audienceElimination Game is a well known algorithm that simulates Gaussian elimination...
In one procedure for finding the maximal prime decomposition of a Bayesian network or undirected gra...
AbstractElimination Game is a well-known algorithm that simulates Gaussian elimination of matrices o...
The currently most efficient algorithm for inference with a probabilistic network builds upon a tr...
The Minimum Degree Algorithm, one of the classical algorithms of sparse matrix computations, is a he...
AbstractA chordal graph H is a triangulation of a graph G if H is obtained by adding edges to G. If ...