Hamiltonian Cycles and the Space of Discounted Occupational Measures

Language: English

Published by LAP LAMBERT Academic Publishing Nov 2011, 2011

3846548871 / 9783846548875

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This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 168 pp. Englisch.…

Seller Inventory # 9783846548875

Title
Hamiltonian Cycles and the Space of Discounted Occupational Measures
Author
Ali Eshragh
Publisher
LAP LAMBERT Academic Publishing Nov 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3846548871
ISBN 13
9783846548875
Item weight
268 grams
Dimensions
220x150x11 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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