Pedigree Polytopes - New Insights on Computational Complexity of Combinatorial Optimisation Problems (Hardcover, 1st ed. 2023)

This book defines and studies a combinatorial object called the pedigree and develops the theory for optimising a linear function over the convex hull of pedigrees (the Pedigree polytope). A strongly polynomial algorithm implementing the framework given in the book for checking membership in the pedigree polytope is a major contribution. This book challenges the popularly held belief in computer science that a problem included in the NP-complete class may not have a polynomial algorithm to solve. By showing STSP has a polynomial algorithm, this book settles the P vs NP question. This book has illustrative examples, figures, and easily accessible proofs for showing this unexpected result. This book introduces novel constructions and ideas previously not used in the literature. Another interesting feature of this book is it uses basic max-flow and linear multicommodity flow algorithms and concepts in these proofs establishing efficient membership checking for the pedigree polytope. Chapters 3-7 can be adopted to give a course on Efficient Combinatorial Optimization. This book is the culmination of the author's research that started in 1982 through a presentation on a new formulation of STSP at the XIth International Symposium on Mathematical Programming at Bonn.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Release date:	March 2023
First published:	2023
Authors:	Tirukkattuppalli Subramanyam Arthanari
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	221
Edition:	1st ed. 2023
ISBN-13:	978-981-19-9951-2
Categories:	Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General Books > Business & Economics > Business & management > Management & management techniques > Operational research Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	981-19-9951-1
Barcode:	9789811999512

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