Hamiltonian Cycles and Markov Chains
Copyright policy )Hamiltonian Cycles and Markov Chains
In this paper we derive new characterizations of the Hamiltonian cycles of a directed graph, and a new LP-relaxation of the Traveling Salesman Problem. Our results are obtained via an embedding of these combinatorial optimization problems in suitably perturbed controlled Markov chains. This embedding lends probabilistic interpretation to many of the quantities of interest, which in turn lead naturally to the introduction of a quadratic entropy-like function.
- University of South Australia Australia
- University of Queensland Australia
- University of Toronto Canada
- University of Queensland Australia
Lp-Relaxation, Hamiltonian Cycles, Programming involving graphs or networks, directed graph, Hamiltonian cycles, Markov Decision Processes, Long-Run Frequencies, Traveling Salesman, quadratic entropy-like function, Paths and cycles, perturbed controlled Markov chains, Quadratic Entropy
Lp-Relaxation, Hamiltonian Cycles, Programming involving graphs or networks, directed graph, Hamiltonian cycles, Markov Decision Processes, Long-Run Frequencies, Traveling Salesman, quadratic entropy-like function, Paths and cycles, perturbed controlled Markov chains, Quadratic Entropy
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