Abstract

An ad-hoc network considers an automatic network formation and maintenance of critical services as nodes come closer or go far away from each other. There is no wired infrastructure or cellular network in wireless ad-hoc network. Each mobile node has an adjustable transmission range. A node n can receive signal from another node m if node n is within the transmission range of the sender m otherwise, two nodes communicate by relaying the message using intermediate nodes. In this paper, we studied how to construct a sparse spanner efficiently for wireless ad-hoc network topology. For any given pair of nodes there is a power efficient path. Power values may be assigned to the nodes in ad-hoc networks, to tackle the topology control issue. This paper considers topology control problems under optimisation objectives to include minimising the maximum power and also overall power. We have tackled the topology control problem, by formulating as a linear programming for the traffic loads and an optimal solution was computed. Theoretical analysis and simulation study verify that the proposed scheme is better up to some extent.

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