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» On the Hardness of Graph Isomorphism
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SIAMCOMP
2011
12 years 11 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
FSTTCS
2010
Springer
13 years 6 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
DAM
2008
145views more  DAM 2008»
13 years 9 months ago
Graph coloring in the estimation of sparse derivative matrices: Instances and applications
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned s...
Shahadat Hossain, Trond Steihaug
ISAAC
2004
Springer
103views Algorithms» more  ISAAC 2004»
14 years 2 months ago
Structural Similarity in Graphs (A Relaxation Approach for Role Assignment)
Standard methods for role assignment partition the vertex set of a graph in such a way that vertices in the same class can be considered to have equivalent roles in the graph. Seve...
Ulrik Brandes, Jürgen Lerner
EVOW
2006
Springer
14 years 15 days ago
Improving Graph Colouring Algorithms and Heuristics Using a Novel Representation
Abstract. We introduce a novel representation for the graph colouring problem, called the Integer Merge Model, which aims to reduce the time complexity of an algorithm. Moreover, o...
István Juhos, Jano I. van Hemert