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Analysis of the deterministic polynomial time solvability of the 0-1-Knapsack problem

By Jerrald Meek

Abstract

Previously the author has demonstrated that a representative polynomial search partition is required to solve a NP-complete problem in deterministic polynomial time. It has also been demonstrated that finding such a partition can only be done in deterministic polynomial time if the form of the problem provides a simple method for producing the partition. It is the purpose of this article to demonstrate that no deterministic polynomial time method exists to produce a representative polynomial search partition for the Knapsack problem

Topics: Categories and Subject Descriptors, F.2.2 [Analysis of Algorithms and Problem Complexity, Nonnumerical Algorithms and Problems—Sorting, Searching General Terms, Algorithms, Theory Additional Key Words and Phrases, P vs NP, NP-complete, Knapsack Problem 1. INTRODUCTION
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.312.9778
Provided by: CiteSeerX
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