An efficient algorithm for finding a two-pair, and its applications
Discrete Applied Mathematics
Information Processing Letters
Algorithms for weakly triangulated graphs
Discrete Applied Mathematics
Generating weakly triangulated graphs
Journal of Graph Theory
Meyniel weakly triangulated graphs—I: co-perfect orderability
Discrete Applied Mathematics
Meyniel weakly triangulated graphs II: a theorem of Dirac
Discrete Applied Mathematics
A wide-range efficient algorithm for minimal triangulation
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Weakly chordal graph algorithms via handles
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Treewidth and minimum fill-in of weakly triangulated graphs
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Efficient Implementation of a Minimal Triangulation Algorithm
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
Hole and antihole detection in graphs
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Discrete Applied Mathematics
Computing minimal triangulations in time O(nα log n) = o(n2.376)
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
A wide-range algorithm for minimal triangulation from an arbitrary ordering
Journal of Algorithms
Improved algorithms for weakly chordal graphs
ACM Transactions on Algorithms (TALG)
On clique separators, nearly chordal graphs, and the Maximum Weight Stable Set Problem
Theoretical Computer Science
What Is between Chordal and Weakly Chordal Graphs?
Graph-Theoretic Concepts in Computer Science
A wide-range algorithm for minimal triangulation from an arbitrary ordering
Journal of Algorithms
Maximum Weight Independent Sets in hole- and co-chair-free graphs
Information Processing Letters
New applications of clique separator decomposition for the maximum weight stable set problem
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
Minimal separators in extended P4-laden graphs
Discrete Applied Mathematics
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We apply Lekkerkerker and Boland's recognition algorithm for triangulated graphs to the class of weakly triangulated graphs. This yields a new characterization of weakly triangulated graphs, as well as a new O(m2) recognition algorithm which, unlike the previous ones, is not based on the notion of a 2-pair, but rather on the structural properties of the minimal separators of the graph. It also gives the strongest relationship to the class of triangulated graphs that has been established so far.