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SIAMCOMP
2008
77views more  SIAMCOMP 2008»
14 years 9 months ago
A Linear-Time Approximation Scheme for TSP in Undirected Planar Graphs with Edge-Weights
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...
Philip N. Klein
SIAMCOMP
2008
123views more  SIAMCOMP 2008»
14 years 9 months ago
Approximation Algorithms for Biclustering Problems
One of the main goals in the analysis of microarray data is to identify groups of genes and groups of experimental conditions (including environments, individuals, and tissues) tha...
Lusheng Wang, Yu Lin, Xiaowen Liu
SIAMCOMP
2008
75views more  SIAMCOMP 2008»
14 years 9 months ago
Splitting NP-Complete Sets
We show that a set is m-autoreducible if and only if it is m-mitotic. This solves a long standing open question in a surprising way. As a consequence of this unconditional result a...
Christian Glaßer, Aduri Pavan, Alan L. Selma...
SIAMCOMP
2008
101views more  SIAMCOMP 2008»
14 years 9 months ago
Combination Can Be Hard: Approximability of the Unique Coverage Problem
We prove semi-logarithmic inapproximability for a maximization problem called unique coverage: given a collection of sets, find a subcollection that maximizes the number of elemen...
Erik D. Demaine, Uriel Feige, MohammadTaghi Hajiag...
SIAMCOMP
2000
86views more  SIAMCOMP 2000»
14 years 9 months ago
On the Relative Complexity of Resolution Refinements and Cutting Planes Proof Systems
An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...