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JDA
2007
83views more  JDA 2007»
14 years 9 months ago
Optimal leaf ordering of complete binary trees
Ordering a set of items so as to minimize the sum of distances between consecutive elements is a fundamental optimization problem occurring in many settings. While it is NP-hard i...
Ulrik Brandes
FOCS
2004
IEEE
15 years 1 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
CPM
2000
Springer
160views Combinatorics» more  CPM 2000»
15 years 2 months ago
Approximation Algorithms for Hamming Clustering Problems
We study Hamming versions of two classical clustering problems. The Hamming radius p-clustering problem (HRC) for a set S of k binary strings, each of length n, is to find p bina...
Leszek Gasieniec, Jesper Jansson, Andrzej Lingas
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 3 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
STACS
2007
Springer
15 years 3 months ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg