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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Bibliographic Details
Main Author: Riemensberger, Maximilian (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Foundations in Signal Processing, Communications and Networking, 14
Subjects:
Telecommunication.
Graph theory.
Application software.
Functional analysis.
Communications Engineering, Networks.
Graph Theory.
Computer and Information Systems Applications.
Functional Analysis.
Online Access:Full-text access
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Table of Contents:
  • 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.

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