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APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
15 years 1 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
15 years 1 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
14 years 11 months ago
On the low hamming weight discrete logarithm problem for nonadjacent representations
So-called nonadjacent representations are commonly used in elliptic curve cryptography to facilitate computing a scalar multiple of a point on an elliptic curve. A nonadjacent rep...
James A. Muir, Douglas R. Stinson
FOCS
2003
IEEE
15 years 5 months ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
15 years 1 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...