ISBN: 9789811999543 - pedigree polytopes: new insights on computational complexity of combinatorial optimisation problems (2 Ergebnisse)

Taschenbuch. Zustand: Neu. Pedigree Polytopes | New Insights on Computational Complexity of Combinatorial Optimisation Problems | Tirukkattuppalli Subramanyam Arthanari | Taschenbuch | xxv | Englisch | 2024 | Springer | EAN 9789811999543 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 theNP-completeclass may not have a polynomial algorithm to solve. By showingSTSPhas a polynomial algorithm, this book settles thePvsNPquestion.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 theseproofs establishing efficient membership checking for the pedigree polytope. Chapters 3-7 can be adopted to give a course onEfficient 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.…