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» Minimal triangulations of graphs: A survey
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DM
2006
92views more  DM 2006»
13 years 7 months ago
Minimal triangulations of graphs: A survey
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph is called a triangulation of the input graph. In this paper we study minimal tr...
Pinar Heggernes
JAL
2006
114views more  JAL 2006»
13 years 7 months ago
A wide-range algorithm for minimal triangulation from an arbitrary ordering
We present a new algorithm, called LB-Triang, which computes minimal triangulations. We give both a straightforward O(nm0) time implementation and a more involved O(nm) time imple...
Anne Berry, Jean Paul Bordat, Pinar Heggernes, Gen...
TCS
2008
13 years 7 months ago
Sequential and parallel triangulating algorithms for Elimination Game and new insights on Minimum Degree
1 Elimination Game is a well known algorithm that simulates Gaussian elimination of matrices on graphs, and it computes a triangulation of the input graph. The number of fill edge...
Anne Berry, Elias Dahlhaus, Pinar Heggernes, Genev...
ALGORITHMICA
2004
112views more  ALGORITHMICA 2004»
13 years 7 months ago
Maximum Cardinality Search for Computing Minimal Triangulations of Graphs
Abstract. We present a new algorithm, called MCS-M, for computing minimal triangulations of graphs. LexBFS, a seminal algorithm for recognizing chordal graphs, was the genesis for ...
Anne Berry, Jean R. S. Blair, Pinar Heggernes, Bar...
COMPGEOM
2006
ACM
14 years 1 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote