We present a hierarchical scheme for efficiently maintaining all-pairs approximate shortest-paths in undirected unweighted graphs under deletions of edges. An α-approximate short...
We study the problem of monotonicity testing over the hypercube. As previously observed in several works, a positive answer to a natural question about routing properties of the hy...
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
Shortest path query is a problem to answer the shortest path from the origin to the destination in short time. The network is fixed, and the goal of the study is to develop efficie...
The shortest capacitated path problem is a well known problem in the networking area, having a wide range of applications. In the shortest capacitated path problem, a traffic flow...