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An Introduction to Clique Minimal Separator Decomposition

LIMOS UMR CNRS 6158, Ensemble Scientifique des Cézeaux, F-63 173 Aubière, France;
LIRMM, 161 Rue Ada, F-34392 Montpellier, France
Author to whom correspondence should be addressed.
Algorithms 2010, 3(2), 197-215;
Received: 7 April 2010 / Accepted: 28 April 2010 / Published: 14 May 2010
(This article belongs to the Special Issue Algorithms for Applied Mathematics)
PDF [164 KB, uploaded 14 May 2010]


This paper is a review which presents and explains the decomposition of graphs by clique minimal separators. The pace is leisurely, we give many examples and figures. Easy algorithms are provided to implement this decomposition. The historical and theoretical background is given, as well as sketches of proofs of the structural results involved. View Full-Text
Keywords: graph decomposition; clique minimal separator; minimal triangulation graph decomposition; clique minimal separator; minimal triangulation

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Berry, A.; Pogorelcnik, R.; Simonet, G. An Introduction to Clique Minimal Separator Decomposition. Algorithms 2010, 3, 197-215.

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