03464nam 22005895 450 991029988450332120200705161506.03-319-65232-X10.1007/978-3-319-65232-0(CKB)3710000001631012(DE-He213)978-3-319-65232-0(MiAaPQ)EBC4996672(PPN)20385103X(EXLCZ)99371000000163101220170830d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSubmodular Rate Region Models for Multicast Communication in Wireless Networks /by Maximilian Riemensberger1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XXIII, 281 p. 52 illus.) Foundations in Signal Processing, Communications and Networking,1863-8538 ;143-319-65231-1 Includes bibliographical references at the end of each chapters.Introduction -- Submodular Information Flow Models for Multicast Communication -- Network Utility Maximization via Submodular Dual Decomposition -- Network Coding Bounds and Submodularity -- Deterministic and Linear Finite Field Networks -- Erasure Broadcast Networks -- Network Coding Bounds for Gaussian Networks -- Numerical Results for Gaussian Networks -- Concluding Remarks.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.Foundations in Signal Processing, Communications and Networking,1863-8538 ;14Electrical engineeringGraph theoryApplication softwareFunctional analysisCommunications Engineering, Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/T24035Graph Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M29020Information Systems Applications (incl. Internet)https://scigraph.springernature.com/ontologies/product-market-codes/I18040Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Electrical engineering.Graph theory.Application software.Functional analysis.Communications Engineering, Networks.Graph Theory.Information Systems Applications (incl. Internet).Functional Analysis.621.382Riemensberger Maximilianauthttp://id.loc.gov/vocabulary/relators/aut1065050BOOK9910299884503321Submodular Rate Region Models for Multicast Communication in Wireless Networks2542796UNINA