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Titlebook: Hamiltonian Cycle Problem and Markov Chains; Vivek S. Borkar,Vladimir Ejov,Giang T. Nguyen Book 2012 Springer Science+Business Media, LLC

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發(fā)表于 2025-3-21 16:33:28 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Hamiltonian Cycle Problem and Markov Chains
編輯Vivek S. Borkar,Vladimir Ejov,Giang T. Nguyen
視頻videohttp://file.papertrans.cn/421/420629/420629.mp4
概述Concise, readable synthesis of important yet scattered research to date.Discusses problems yet to be fully solved.Provides many examples not supplied in original studies.Includes supplementary materia
叢書名稱International Series in Operations Research & Management Science
圖書封面Titlebook: Hamiltonian Cycle Problem and Markov Chains;  Vivek S. Borkar,Vladimir Ejov,Giang T. Nguyen Book 2012 Springer Science+Business Media, LLC
描述.This research monograph summarizes a line of research that maps?certain classical problems of discrete mathematics and operations?research - such as the Hamiltonian Cycle and the Travelling Salesman?Problems - into convex domains where continuum analysis can be carried?out. Arguably, the inherent difficulty of these, now classical,?problems stems precisely from the discrete nature of domains in which?these problems are posed. The convexification of domains underpinning?these results is achieved by assigning probabilistic interpretation to?key elements of the original deterministic problems. In particular,?the approaches summarized here build on a technique that embeds?Hamiltonian Cycle and Travelling Salesman Problems in a structured?singularly perturbed Markov decision process. The unifying idea is to?interpret subgraphs traced out by deterministic policies (including?Hamiltonian cycles, if any) as extreme points of a convex polyhedron in a space filled with randomized policies..The above innovative approach has now evolved to the point where there?are many, both theoretical and algorithmic, results that exploit the?nexus between graph theoretic structures and both probabilistic
出版日期Book 2012
關(guān)鍵詞Combinatorial Optimization; Graphing; Hamiltonian Cycle Problem; Markov Chains; Mathematical Programming
版次1
doihttps://doi.org/10.1007/978-1-4614-3232-6
isbn_softcover978-1-4899-9227-7
isbn_ebook978-1-4614-3232-6Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightSpringer Science+Business Media, LLC 2012
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:15:37 | 只看該作者
Book 2012s, if any) as extreme points of a convex polyhedron in a space filled with randomized policies..The above innovative approach has now evolved to the point where there?are many, both theoretical and algorithmic, results that exploit the?nexus between graph theoretic structures and both probabilistic
板凳
發(fā)表于 2025-3-22 01:30:45 | 只看該作者
0884-8289 supplied in original studies.Includes supplementary materia.This research monograph summarizes a line of research that maps?certain classical problems of discrete mathematics and operations?research - such as the Hamiltonian Cycle and the Travelling Salesman?Problems - into convex domains where con
地板
發(fā)表于 2025-3-22 04:47:18 | 只看該作者
5#
發(fā)表于 2025-3-22 10:35:53 | 只看該作者
https://doi.org/10.1057/9780230376465particular, 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.
6#
發(fā)表于 2025-3-22 13:21:19 | 只看該作者
https://doi.org/10.1007/978-3-031-59563-9ising the top-left element of the fundamental matrix . of an MDP associated with the given graph, over the space of feasible deterministic policies ... The conjecture that the same holds for the larger space .. remains open.
7#
發(fā)表于 2025-3-22 19:28:47 | 只看該作者
https://doi.org/10.1007/978-3-030-55438-5ter 5, one can minimise the traces of the fundamental matrices to determine the Hamiltonicity of a given graph. While it is unclear whether the trace function offers an algorithmic advantage over the top-left element or the determinant functions, the trace operator is certainly well studied and frequently employed.
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發(fā)表于 2025-3-23 00:20:55 | 只看該作者
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發(fā)表于 2025-3-23 04:36:59 | 只看該作者
The Philosophy of Chinese Military Cultureexample, Meringer [77]). 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.
10#
發(fā)表于 2025-3-23 07:12:47 | 只看該作者
Book 2012the Hamiltonian Cycle and the Travelling Salesman?Problems - into convex domains where continuum analysis can be carried?out. Arguably, the inherent difficulty of these, now classical,?problems stems precisely from the discrete nature of domains in which?these problems are posed. The convexification
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