Submodular Rate Region Models for Multicast Communication in Wireless Networks by Maximilian Riemensberger (2017, Hardcover)
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The submodular structure facilitates a dual decomposition approach to network utility maximization problems, which exploits the greedy algorithm for linear programming on submodular polyhedra. This approach yields computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networks.