Submodular Rate Region Models for Multicast Communication in Wireless Networks

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 structu...

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Hlavní autor: Riemensberger, Maximilian (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Foundations in Signal Processing, Communications and Networking, 14
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ISBN:9783319652320
ISSN:1863-8538 ;
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245 1 0 |a Submodular Rate Region Models for Multicast Communication in Wireless Networks  |h [electronic resource] /  |c by Maximilian Riemensberger. 
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490 1 |a Foundations in Signal Processing, Communications and Networking,  |x 1863-8538 ;  |v 14 
500 |a Engineering  
505 0 |a 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. 
516 |a text file PDF 
520 |a 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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650 0 |a Graph theory. 
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650 0 |a Functional analysis. 
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