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CORR
2006
Springer
164views Education» more  CORR 2006»
14 years 11 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
ALGORITHMICA
2011
14 years 6 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
JDA
2006
90views more  JDA 2006»
14 years 11 months ago
An improved approximation algorithm for the asymmetric TSP with strengthened triangle inequality
We consider the asymmetric traveling salesperson problem with -parameterized triangle inequality for [1/2, 1). That means, the edge weights fulfill w(u, v)
Markus Bläser, Bodo Manthey, Jiri Sgall
ICALP
2009
Springer
16 years 1 days ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
15 years 6 months ago
Iterative Rounding for Multi-Objective Optimization Problems
In this paper we show that iterative rounding is a powerful and flexible tool in the design of approximation algorithms for multiobjective optimization problems. We illustrate tha...
Fabrizio Grandoni, R. Ravi, Mohit Singh