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DISOPT
2010
129views more  DISOPT 2010»
13 years 8 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
PPSC
1993
13 years 10 months ago
Parallel Preconditioning and Approximate Inverses on the Connection Machine
We present a new approach to preconditioning for very large, sparse, non-symmetric, linear systems. We explicitly compute an approximate inverse to our original matrix that can be...
Marcus J. Grote, Horst D. Simon
ICALP
2004
Springer
14 years 2 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
ESA
2004
Springer
125views Algorithms» more  ESA 2004»
14 years 2 months ago
Approximation Algorithms for Quickest Spanning Tree Problems
Let G = (V, E) be an undirected multi-graph with a special vertex root ∈ V , and where each edge e ∈ E is endowed with a length l(e) ≥ 0 and a capacity c(e) > 0. For a pa...
Refael Hassin, Asaf Levin
SODA
2008
ACM
100views Algorithms» more  SODA 2008»
13 years 10 months ago
A tight lower bound for parity in noisy communication networks
We show a tight lower bound of (N log log N) on the number of transmission required to compute the parity of N bits (with constant error) in a network of N randomly placed sensors...
Chinmoy Dutta, Yashodhan Kanoria, D. Manjunath, Ja...