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Some applications of doubly stochastic matrices. (English) Zbl 0657.15016

Author’s summary: Primarily two applications of doubly stochastic matrices and related matrices are discussed. The first concerns a topic in communication theory called satellite-switched, time-division multiple-access systems, and it is attempted to illuminate some results which have occurred in the engineering literature. The second concerns a recent notion of a doubly stochastic automorphism of a graph. Several new theorems about doubly stochastic automorphisms of certain classes of graphs are proved, and in particular, a theorem of which Birkhoff’s theorem for doubly stochastic matrices is a special case, is obtained.
Reviewer: G.Sierksma

MSC:

15B51 Stochastic matrices
94A05 Communication theory
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
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