Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
This thesis introduces a model of a random walk on a colored undirected graph. Such a graph has a single vertex set and distinct sets of edges, each of which has a color. A par...
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
: Robustness and security of services like localisation, routing and time synchronisation in Wireless Sensor Networks (WSNs) have been critical issues. Efficient mathematical (gra...
Murtuza Jadliwala, Qi Duan, Jinhui Xu, Shambhu J. ...
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...