Hamiltonian Cycles and the Space of Discounted Occupational Measures : Investigating Hamiltonian Cycles through Extreme Points of Certain Polytopes by Random Walks

Language: English

Published by LAP LAMBERT Academic Publishing, 2011

3846548871 / 9783846548875

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - In 2000, a new polytope defined by the Discounted Occupational Measures (DOM) was developed for the Hamiltonian Cycle Problem (HCP). In this monograph, we exploit geometric properties of extreme points of that polytope. In particular, we refine the feasible region induced by that polytope into a narrower one. We show that the problem of finding a Hamiltonian cycle in a given graph is equivalent to the problem of finding a common extreme point of two especially constructed polytopes. Correspondingly, we develop new optimization models, as well as, random walk algorithms, to solve HCP. In addition, we develop a new hybrid algorithm for the HCP by synthesising DOM and the Cross Entropy method. Finally, we present algebraic properties of the class of stochastic matrices induced by a Hamiltonian cycle. These theoretical results are used to develop a new polytope containing all possible Hamiltonian solutions corresponding to a given graph.…

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Title
Hamiltonian Cycles and the Space of Discounted Occupational Measures : Investigating Hamiltonian Cycles through Extreme Points of Certain Polytopes by Random Walks
Author
Ali Eshragh
Publisher
LAP LAMBERT Academic Publishing
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3846548871
ISBN 13
9783846548875
Item weight
268 grams
Dimensions
220x150x11 mm

AHA-BUCH GmbH

Einbeck, Germany

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