Strictly Nonblocking $f$-Cast Log$_{d}(N,m,p)$ Networks
Frank K. Hwang, Yang Wang, Jinzhi Tan · IEEE Transactions on Communications · 2007
Necessary and sufficient conditions for Logd(N,m,p) network to be point-to-point strictly nonblocking are known. Recently, Kabacinski and Danilewicz obtained necessary and sufficient conditions for the Log2(N,0,p) network to be broadcast strictly nonblocking. In this paper, we give necessary and sufficient conditions for Logd(N,m,p) to be f-cast strictly nonblocking for every f, thus covering the point-to-point case (f=1) and the broadcast case (f=N) as special cases