TY - GEN AB - 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. AU - Riemensberger, Maximilian, CN - TK5103.2 CY - Cham : DA - c2018. DO - 10.1007/978-3-319-65232-0 DO - doi ID - 823512 KW - Wireless communication systems. KW - Multicasting (Computer networks) LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65232-0 N2 - 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. PB - Springer, PP - Cham : PY - c2018. SN - 9783319652320 SN - 331965232X T1 - Submodular rate region models for multicast communication in wireless networks / TI - Submodular rate region models for multicast communication in wireless networks / UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65232-0 VL - v. 14 ER -