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CORR
2006
Springer
103views Education» more  CORR 2006»
13 years 4 months ago
Pants Decomposition of the Punctured Plane
A pants decomposition of an orientable surface is a collection of simple cycles that partition into pants, i.e., surfaces of genus zero with three boundary cycles. Given a set P...
Sheung-Hung Poon, Shripad Thite
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
11 years 7 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
STACS
2009
Springer
13 years 11 months ago
On Approximating Multi-Criteria TSP
Abstract. We present approximation algorithms for almost all variants of the multicriteria traveling salesman problem (TSP), whose performances are independent of the number k of c...
Bodo Manthey
CORR
2006
Springer
146views Education» more  CORR 2006»
13 years 4 months ago
Approximation Algorithms for Multi-Criteria Traveling Salesman Problems
In multi-criteria optimization, several objective functions are to be optimized. Since the different objective functions are usually in conflict with each other, one cannot conside...
Bodo Manthey, L. Shankar Ram