A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The appr...
act We give an algorithm for imbedding a graph G of n vertices onto an oriented surface of minimal genus g. If g > 0 then we also construct a forbidden subgraph of G which is ho...
In this paper, we prove lower bounds on the competitive ratio of randomized algorithms for two on-line problems: the k-server problem, suggested by [MMS], and an on-line motion-pl...
We propose a framework for optimization problems based on particle filtering (also called Sequential Monte Carlo method). This framework unifies and provides new insight into rand...
Abstract - In this paper, we present a rankrevealing two-sided orthogonal decomposition method for solving the STLS problem. An error analysis of the algorithm is given. Our numeri...