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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Submodular Rate Region Models for Multicast Communication in Wireless Networks (Hardcover, 1st ed. 2018)
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Submodular Rate Region Models for Multicast Communication in Wireless Networks (Hardcover, 1st ed. 2018)
Series: Foundations in Signal Processing, Communications and Networking, 14
Expected to ship within 12 - 17 working days
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This book proposes representations of multicast rate regions in
wireless networks based on the mathematical concept of submodular
functions, e.g., the submodular cut model and the polymatroid
broadcast model. These models subsume and generalize the graph and
hypergraph models. 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.
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