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Grooming traffic in optical networks can be formulated as partitioning the edges of a graph into subgraphs each having at most a specified number c of edges; a typical objective is to minimize the sum over all subgraphs of the vertices of nonzero degree (the drop cost). In practice, however, one may be constrained so that each vertex has nonzero degree in a limited number of different subgraphs of...
Edge-decompositions of the complete λ-fold directed graph K⇒n into (uniform) directed complete bipartite subgraphs K⇒a,b form a model for wireless communication in sensor networks. Each node can be in one of three states: asleep (powered down), listening, or transmitting. Communication requires that the sender be transmitting, the destination listening, and no other node near the receiver transmitting...
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