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Electronic Colloquium on Computational Complexity

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Reports tagged with MAX-BISECTION:
TR00-043 | 21st June 2000
Uriel Feige, Marek Karpinski, Michael Langberg

A Note on Approximating MAX-BISECTION on Regular Graphs

We design a $0.795$ approximation algorithm for the Max-Bisection problem
restricted to regular graphs. In the case of three regular graphs our
results imply an approximation ratio of $0.834$.

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TR00-051 | 14th July 2000
Marek Karpinski, Miroslaw Kowaluk, Andrzej Lingas

Approximation Algorithms for MAX-BISECTION on Low Degree Regular Graphs and Planar Graphs

The max-bisection problem is to find a partition of the vertices of a
graph into two equal size subsets that maximizes the number of edges with
endpoints in both subsets.
We obtain new improved approximation ratios for the max-bisection problem on
the low degree $k$-regular graphs for ... more >>>

TR00-064 | 29th August 2000
Klaus Jansen, Marek Karpinski, Andrzej Lingas

A Polynomial Time Approximation Scheme for MAX-BISECTION on Planar Graphs

The Max-Bisection and Min-Bisection are the problems of finding
partitions of the vertices of a given graph into two equal size subsets so as
to maximize or minimize, respectively, the number of edges with exactly one
endpoint in each subset.
In this paper we design the first ... more >>>

TR01-042 | 31st May 2001
Marek Karpinski

Approximating Bounded Degree Instances of NP-Hard Problems

We present some of the recent results on computational complexity
of approximating bounded degree combinatorial optimization problems. In
particular, we present the best up to now known explicit nonapproximability
bounds on the very small degree optimization problems which are of
particular importance on the intermediate stages ... more >>>

TR02-046 | 16th July 2002
Marek Karpinski

On Approximability of Minimum Bisection Problem

We survey some recent results on the complexity of computing
approximate solutions for instances of the Minimum Bisection problem
and formulate some intriguing and still open questions about the
approximability status of that problem. Some connections to other
optimization problems are also indicated.

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