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Uncoupling Measures and Eigenvalues of Stochastic Matrices

P. Pokarowski

Abstract

This paper gives bounds for the uncoupling measures of a stochastic matrix P in terms of its eigenvalues. The proofs are combinatorial. We use the Matrix–Tree Theorem which represents principal minors of IP as sums of weights of directed forests.

Received: 1998-06-15
Revised: 1998-09-28
Published Online: 2010-06-04
Published in Print: 1998-December

© Heldermann Verlag

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