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» Packing Cliques in Graphs with Independence Number 2
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WG
2010
Springer
14 years 10 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...
AAIM
2009
Springer
118views Algorithms» more  AAIM 2009»
15 years 6 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...
JCT
2010
114views more  JCT 2010»
14 years 10 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
EJC
2007
14 years 11 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
113
Voted
MP
2006
81views more  MP 2006»
14 years 11 months ago
Almost all webs are not rank-perfect
Graphs with circular symmetry, called webs, are relevant w.r.t. describing the stable set polytopes of two larger graph classes, quasi-line graphs [8,12] and claw-free graphs [7,8]...
Arnaud Pêcher, Annegret Wagler