My major research deals with the topics related to the fields of Algorithms Design, Data communication and Data Structures. I'm interested in determining computational difficulty of solving certain specific problem or families of problems. The problems that I am concerned with are fundamental optimization problems that have applications in transportation, station placement, communication, facility location, graph theory, statistics, selection, geometric pattern matching, layout of VLSI circuits and enumeration. While a part my research is based on a standard sequential deterministic model of computation, I am also interested in both parallel and distributed models of computation and the use of probabilistic algorithms. Last several years, I am working in the area of mobile wireless networks and security. My main interests there are to discover the topological nature and combinatorial properties of the networks problems that deal with routing, switching, scheduling, location tracking, distributed computation, sending messages and connectivity of the users.