The minimum energy required to transmit a

bit of information through a network characterizes the most

economical way to communicate in a network. In this paper,

we show that under a simplified layered model of wireless

networks, the minimum-energy multicast problem in mobile

ad hoc networks is solvahle as a linear program, assuming

network coding. Compared with conventional routing snlutinns,

network coding not only promises a potentially lower

energy-per-hit, but also enables finding the optimal solution

in polynomial time, in sharp contrast with the NP-hardness

of constructing the minimum-energy multicast tree as the

optimal routing solution.

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Publisher  Institute of Electrical and Electronics Engineers, Inc.
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