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» On the Maximum Number of Cliques in a Graph
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WG
2010
Springer
13 years 6 months ago
Generalized Graph Clustering: Recognizing (p, q)-Cluster Graphs
Cluster Editing is a classical graph theoretic approach to tackle the problem of data set clustering: it consists of modifying a similarity graph into a disjoint union of cliques,...
Pinar Heggernes, Daniel Lokshtanov, Jesper Nederlo...
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
ENDM
2007
91views more  ENDM 2007»
13 years 7 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
AI
2006
Springer
13 years 7 months ago
Controlled generation of hard and easy Bayesian networks: Impact on maximal clique size in tree clustering
This article presents and analyzes algorithms that systematically generate random Bayesian networks of varying difficulty levels, with respect to inference using tree clustering. ...
Ole J. Mengshoel, David C. Wilkins, Dan Roth
AAIM
2009
Springer
118views Algorithms» more  AAIM 2009»
14 years 2 months ago
A More Relaxed Model for Graph-Based Data Clustering: s-Plex Editing
We introduce the s-Plex Editing problem generalizing the well-studied Cluster Editing problem, both being NP-hard and both being motivated by graph-based data clustering. Instead o...
Jiong Guo, Christian Komusiewicz, Rolf Niedermeier...