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COCOON
1999
Springer
13 years 11 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
CRYPTO
2008
Springer
134views Cryptology» more  CRYPTO 2008»
13 years 9 months ago
Noninteractive Statistical Zero-Knowledge Proofs for Lattice Problems
We construct noninteractive statistical zero-knowledge (NISZK) proof systems for a variety of standard approximation problems on lattices, such as the shortest independent vectors...
Chris Peikert, Vinod Vaikuntanathan
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 8 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...
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
13 years 11 months ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 7 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen