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JDA
2007
83views more  JDA 2007»
15 years 6 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 10 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 10 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»
16 years 14 days 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
16 years 11 days 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