English

An exact algorithm for the weighed mutually exclusive maximum set cover problem

Data Structures and Algorithms 2014-01-27 v1

Abstract

In this paper, we introduce an exact algorithm with a time complexity of O(1.325m)O^*(1.325^m) for the {\sc weighted mutually exclusive maximum set cover} problem, where mm is the number of subsets in the problem. This is an NP-hard motivated and abstracted from a bioinformatics problem of identifying signaling pathways based gene mutations. Currently, this problem is addressed using heuristic algorithms, which cannot guarantee the performance of the solution. By providing a relatively efficient exact algorithm, our approach will like increase the capability of finding better solutions in the application of cancer research.

Keywords

Cite

@article{arxiv.1401.6385,
  title  = {An exact algorithm for the weighed mutually exclusive maximum set cover problem},
  author = {Songjian Lu and Xinghua Lu},
  journal= {arXiv preprint arXiv:1401.6385},
  year   = {2014}
}
R2 v1 2026-06-22T02:54:15.495Z