Sum-Networks From Incidence Structures: Construction and Capacity Analysis

作者: Ardhendu Tripathy , Aditya Ramamoorthy

DOI: 10.1109/TIT.2017.2765661

关键词:

摘要: A sum-network is an instance of a function computation problem over directed acyclic network, in which each terminal node wants to compute the sum finite field information observed at all source nodes. Many characteristics well-studied multiple unicast network communication also hold for sum-networks, due known reduction between two problems. In this paper, we describe algorithm construct families instances using incidence structures. The capacity several these evaluated. Unlike coding problem, sum-networks depends on characteristic computed. This dependence very strong; show examples that have rate-1 solution one but rate close zero different characteristic. addition, can arbitrarily capacities alphabets.

参考文章(33)
Rathinakumar Appuswamy, Massimo Franceschetti, Nikhil Karamchandani, Kenneth Zeger, Linear Codes, Target Function Classes, and Network Computing Capacity IEEE Transactions on Information Theory. ,vol. 59, pp. 5741- 5753 ,(2013) , 10.1109/TIT.2013.2252052
Richard A. Brualdi, Combinatorial Matrix Classes ,(1991)
Cupjin Huang, Zihan Tan, Shenghao Yang, Upper bound on function computation in directed acyclic networks information theory workshop. pp. 1- 5 ,(2015) , 10.1109/ITW.2015.7133086
Ardhendu Tripathy, Aditya Ramamoorthy, Capacity of sum-networks for different message alphabets international symposium on information theory. pp. 606- 610 ,(2015) , 10.1109/ISIT.2015.7282526
Shurui Huang, A. Ramamoorthy, An Achievable Region for the Double Unicast Problem Based on a Minimum Cut Analysis IEEE Transactions on Communications. ,vol. 61, pp. 2890- 2899 ,(2013) , 10.1109/TCOMM.2013.053013.120542
Luc Teirlinck, Non-trivial t-designs without repeated blocks exist for all t Discrete Mathematics. ,vol. 306, pp. 1060- 1067 ,(2006) , 10.1016/J.DISC.2006.03.024
April Rasala Lehman, Eric Lehman, Complexity classification of network information flow problems symposium on discrete algorithms. pp. 142- 150 ,(2004) , 10.5555/982792.982814
J. Korner, K. Marton, How to encode the modulo-two sum of binary sources (Corresp.) IEEE Transactions on Information Theory. ,vol. 25, pp. 219- 221 ,(1979) , 10.1109/TIT.1979.1056022
Shurui Huang, Aditya Ramamoorthy, On the Multiple-Unicast Capacity of 3-Source, 3-Terminal Directed Acyclic Networks IEEE ACM Transactions on Networking. ,vol. 22, pp. 285- 299 ,(2014) , 10.1109/TNET.2013.2270438