Submodular Rate Region Models for Multicast Communication in Wireless Networks

  • Maximilian Riemensberger

Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 14)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Maximilian Riemensberger
    Pages 1-14
  3. Maximilian Riemensberger
    Pages 105-153
  4. Maximilian Riemensberger
    Pages 155-174
  5. Maximilian Riemensberger
    Pages 175-203
  6. Maximilian Riemensberger
    Pages 205-246
  7. Maximilian Riemensberger
    Pages 247-278
  8. Maximilian Riemensberger
    Pages 279-281

About this book


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.


submodular polyhedra polymatroid broadcast model multicast rate regions submodular cut model submodular functions multiple access communication Network coding hypergraph model

Authors and affiliations

  • Maximilian Riemensberger
    • 1
  1. 1.Fakultät für Elektrotechnik und InformationstechnikTechnische Universität MünchenMunichGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-65231-3
  • Online ISBN 978-3-319-65232-0
  • Series Print ISSN 1863-8538
  • Series Online ISSN 1863-8546
  • Buy this book on publisher's site
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