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» Packing Cliques in Graphs with Independence Number 2
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TCS
2010
13 years 5 months ago
Clustering with partial information
The Correlation Clustering problem, also known as the Cluster Editing problem, seeks to edit a given graph by adding and deleting edges to obtain a collection of disconnected cliq...
Hans L. Bodlaender, Michael R. Fellows, Pinar Hegg...
ICALP
2011
Springer
12 years 11 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 18 days ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
SIAMDM
2000
159views more  SIAMDM 2000»
13 years 7 months ago
Approximating Fractional Multicommodity Flow Independent of the Number of Commodities
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
Lisa Fleischer
JCT
2007
119views more  JCT 2007»
13 years 7 months ago
Cliques and the spectral radius
We prove a number of relations between the number of cliques of a graph G and the largest eigenvalue (G) of its adjacency matrix. In particular, writing ks (G) for the number of s...
Béla Bollobás, Vladimir Nikiforov