Proof of the Hamiltonicity-Trace Conjecture for Singularly Perturbed Markov Chains-Reference-Cited by-同舟云学术

Proof of the Hamiltonicity-Trace Conjecture for Singularly Perturbed Markov Chains

Published:2011-12 Issue:4 Volume:48 Page:901-910
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Ejov Vladimir,Litvak Nelly,Nguyen Giang T.,Taylor Peter G.

Abstract

We prove the conjecture formulated in Litvak and Ejov (2009), namely, that the trace of the fundamental matrix of a singularly perturbed Markov chain that corresponds to a stochastic policy feasible for a given graph is minimised at policies corresponding to Hamiltonian cycles.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference19 articles.

1. Hamiltonian Cycle Problem via Markov Chains and Min-type Approaches

2. Directed graphs, Hamiltonicity and doubly stochastic matrices

3. Hamiltonian Cycles and Singularly Perturbed Markov Chains

4. The anatomy of a large-scale hypertextual Web search engine

5. Consistent behavior of certain perturbed determinants induced by graphs

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