Bipartite Synthesis Method applied to the Subset Sum Problem demonstrates capability as decision and optimization tool
Data Structures and Algorithms
2015-02-09 v1
Abstract
This paper introduces a deterministic algorithm for solving an instance of the Subset Sum Problem based on a new method entitled the Bipartite Synthesis Method. The algorithm is described and shown to have worst-case limiting performance over similar to the best deterministic algorithms achieving run time complexity on the order of O(2^0.5n). This algorithm is representative of a more expansive capability that might convey significant advantages over existing deterministic or probabilistic methods, and it is amenable to blending with existing methods. The method introduced can be applied to a variety of decision and optimization problems.
Cite
@article{arxiv.1502.01837,
title = {Bipartite Synthesis Method applied to the Subset Sum Problem demonstrates capability as decision and optimization tool},
author = {Scott Lilienthal},
journal= {arXiv preprint arXiv:1502.01837},
year = {2015}
}