Determinants

Vivek S. Borkar (), Vladimir Ejov (), Jerzy A. Filar () and Giang T. Nguyen ()
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Vivek S. Borkar: IIT, Powai
Vladimir Ejov: Flinders University
Jerzy A. Filar: Flinders University
Giang T. Nguyen: Université libre de Bruxelles

Chapter Chapter 5 in Hamiltonian Cycle Problem and Markov Chains, 2012, pp 69-89 from Springer

Abstract: Abstract Ejov et al. [34] embed the Hamiltonian cycle problem in a limiting average Markov decision process model with an asymmetric linear perturbation defined in (3.14). The authors prove that for positive and sufficiently small values of ε, determining the Hamiltonicity of a given graph is equivalent to minimising the top-left element of the fundamental matrix G of an MDP associated with the given graph, over the space of feasible deterministic policies F D . The conjecture that the same holds for the larger space F S remains open.

Date: 2012
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DOI: 10.1007/978-1-4614-3232-6_5

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