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» Minimal triangulations of graphs: A survey
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DM
2006
76views more  DM 2006»
13 years 7 months ago
Lex M versus MCS-M
We study the problem of minimal triangulation of graphs. One of the first algorithms to solve this problem was Lex M, which was presented in 1976. A new algorithm, and a simplific...
Yngve Villanger
DAM
1998
85views more  DAM 1998»
13 years 7 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
STACS
2010
Springer
14 years 2 months ago
Finding Induced Subgraphs via Minimal Triangulations
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulation problems including Minimum Fill-i...
Fedor V. Fomin, Yngve Villanger
JUCS
2006
94views more  JUCS 2006»
13 years 7 months ago
Completeness in the Boolean Hierarchy: Exact-Four-Colorability, Minimal Graph Uncolorability, and Exact Domatic Number Problems
: This paper surveys some of the work that was inspired by Wagner's general technique to prove completeness in the levels of the boolean hierarchy over NP and some related res...
Tobias Riege, Jörg Rothe
CCCG
2010
13 years 9 months ago
Regular labelings and geometric structures
Three types of geometric structure--grid triangulations, rectangular subdivisions, and orthogonal polyhedra-can each be described combinatorially by a regular labeling: an assignm...
David Eppstein