On complementary graph entropy
IEEE Transactions on Information Theory
On the index coding problem and its relation to network coding and matroid theory
IEEE Transactions on Information Theory
Permutation Capacities of Families of Oriented Infinite Paths
SIAM Journal on Discrete Mathematics
Hi-index | 754.96 |
We investigate the problem of minimum rate zero-error source coding when there are several decoding terminals having different side information about the central source variable and each of them should decode in an error-free manner. For one decoder this problem was considered by Witsenhausen. The Witsenhausen rate of the investigated multiple source is the asymptotically achievable minimum rate. We prove that the Witsenhausen rate of a multiple source equals the Witsenhausen rate of its weakest element. The proof relies on a powerful result of Gargano, Korner, and Vaccaro about the zero-error capacity of the compound channel.