Overview
- Offers representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functions
- Establishes a multitude of connections between cut and flow models and the central role played by the submodularity of the cut rate functions
- Proposes an approach for computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networks
- Includes supplementary material: sn.pub/extras
Part of the book series: Foundations in Signal Processing, Communications and Networking (SIGNAL, volume 14)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Submodular Rate Region Models for Multicast Communication in Wireless Networks
Authors: Maximilian Riemensberger
Series Title: Foundations in Signal Processing, Communications and Networking
DOI: https://doi.org/10.1007/978-3-319-65232-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-65231-3Published: 06 September 2017
Softcover ISBN: 978-3-319-87980-2Published: 12 August 2018
eBook ISBN: 978-3-319-65232-0Published: 29 August 2017
Series ISSN: 1863-8538
Series E-ISSN: 1863-8546
Edition Number: 1
Number of Pages: XXIII, 281
Number of Illustrations: 52 b/w illustrations
Topics: Communications Engineering, Networks, Graph Theory, Information Systems Applications (incl. Internet), Functional Analysis