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This paper proposes a solution to providing a collision free channel allocation in a multihop mobile radio network. An efficient solution to this problem provides spatial reuse of the bandwidth whenever possible. A robust solution maintains the collision free property of the allocation under any combination of topological changes. The node organization algorithm presented in this paper provides a completely distributed, maximally localized execution of collision free channel allocation. It allows for parallel channel allocation in stationary and mobile networks with provable spatial reuse properties. A simpler version of the algorithm provides also a highly localized distributed coloring algorithm of dynamic graphs.
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Chlamtac et al. (1987) studied this question.
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