Bapat, R. B. (2010) On a conjecture concerning spanning tree invariants and loop systems Linear Algebra and its Applications, 433 (8-10). pp. 1642-1645. ISSN 0024-3795
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.laa.2010.06.010
Abstract
Gò mez and Salazar showed that for n≤ 3, the spanning tree invariants of the loop systems of a Markov chain determined by an irreducible stochastic n×n matrix P coincide if and only if P is doubly stochastic. It was also conjectured that the result holds for all n. We prove this conjecture.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Loop Systems; Laplacian Matrix; Markov Chains; Doubly Stochastic Matrices |
| ID Code: | 81600 |
| Deposited On: | 07 Feb 2012 05:11 |
| Last Modified: | 07 Feb 2012 05:11 |
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