Approximation Algorithms for Traveling Sal...

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Sprache: Englisch

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Beschreibung

"This is the first book on approximation algorithms for the Traveling Salesman Problem, a central topic in discrete mathematics, theoretical computer science, and combinatorial optimization. It presents the state of the art comprehensively as well as advances it, making it an excellent resource for teaching, selfstudy, and further research"--

Über den Autor

Vera Traub has been Professor at the University of Bonn since 2023. Her research has received multiple awards, particularly her work on approximation algorithms for network design and the traveling salesman problem, including in 2023 the Maryam Mirzakhani New Frontiers Prize and the Heinz Maier-Leibnitz Prize. She is a member of the Hausdorff Center for Mathematics.

Inhaltsverzeichnis

Preface; 1. Introduction; 2. Linear programming relaxations of the Symmetric TSP; 3. Linear programming relaxations of the Asymmetric TSP; 4. Duality, cuts, and uncrossing; 5. Thin trees and random trees; 6. Asymmetric Graph TSP; 7. Constant-factor approximation for the Asymmetric TSP; 8. Algorithms for subtour cover; 9. Asymmetric Path TSP; 10. Parity correction of random trees; 11. Proving the main payment theorem for hierarchies; 12. Removable pairings; 13. Ear-Decompositions, matchings, and matroids; 14. Symmetric Path TSP and T-tours; 15. Best-of-Many Christofides and variants; 16. Path TSP by dynamic programming; 17. Further results, related problems; 18. State of the art, open problems; Bibliography; Index.

Details

Erscheinungsjahr:	2024
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9781009445412
ISBN-10:	1009445413
Sprache:	Englisch
Einband:	Gebunden
Autor:	Traub, Vera Vygen, Jens
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 28 mm
Von/Mit:	Vera Traub (u. a.)
Erscheinungsdatum:	05.12.2024
Gewicht:	0,787 kg