Maximizer 发表于 2025-3-23 11:10:04

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Psychogenic 发表于 2025-3-23 15:44:30

Markov Decision Processesparticular, in the context of this book, we observe that in any given graph Hamiltonian cycles (if any) correspond to a family of spanning subgraphs inducing very special Markov chains whose probability transition matrices are a subset of permutation matrices possessing only a single ergodic class.

体贴 发表于 2025-3-23 21:45:28

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倒转 发表于 2025-3-23 22:33:56

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Choreography 发表于 2025-3-24 02:37:40

Linear Programming Based Algorithmsearned that a simple cut of the above domain yields a polyhedron the extreme points of which correspond to only two possible types: Hamiltonian cycles and convex combinations of short and noose cycles. These properties, naturally, suggest certain algorithmic approaches to searching for Hamiltonian cycles.

homeostasis 发表于 2025-3-24 07:25:27

Self-similar Structure and Hamiltonicityexample, Meringer ). This offers an opportunity to study the whole populations of these graphs with the goal of understanding the special nature of those members of that population that correspond to non-Hamiltonian graphs.

syring 发表于 2025-3-24 13:02:15

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ULCER 发表于 2025-3-24 16:13:02

Graph Enumerationa given connectivity. In comparison to labeled cubic graphs, the numeration of unlabeled cubic graphs is a significantly more challenging problem . In 1977, Robinson presented a method to count unlabeled cubic graphs.

一大群 发表于 2025-3-24 23:05:31

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Rinne-Test 发表于 2025-3-24 23:57:18

https://doi.org/10.1007/978-1-349-27476-5 recent and comprehensive treatment on probabilistic methods). Similarly, connections between Markov chains and graph theory have long been made (see Harary ). Our contribution here is to apply properties of Markov chains to the Hamiltonian cycle problem and to take advantage of the still emergi
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查看完整版本: Titlebook: Hamiltonian Cycle Problem and Markov Chains; Vivek S. Borkar,Vladimir Ejov,Giang T. Nguyen Book 2012 Springer Science+Business Media, LLC