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» Minimal triangulations of graphs: A survey
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DM
2006
92views more  DM 2006»
14 years 10 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
87
Voted
JAL
2006
114views more  JAL 2006»
14 years 10 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...
100
Voted
TCS
2008
14 years 10 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...
78
Voted
ALGORITHMICA
2004
112views more  ALGORITHMICA 2004»
14 years 10 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...
95
Voted
COMPGEOM
2006
ACM
15 years 4 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