English

The Two Bicliques Problem is in NP intersection coNP

Computational Complexity 2015-03-19 v4 Data Structures and Algorithms Combinatorics

Abstract

We show that the problem of deciding whether the vertex set of a graph can be covered with at most two bicliques is in NP\capcoNP. We thus almost determine the computational complexity of a problem whose status has remained open for quite some time. Our result implies that a polynomial time algorithm for the problem is more likely than it being NP-complete unless P = NP.

Keywords

Cite

@article{arxiv.1104.3463,
  title  = {The Two Bicliques Problem is in NP intersection coNP},
  author = {M. A. Shalu and S. Vijayakumar},
  journal= {arXiv preprint arXiv:1104.3463},
  year   = {2015}
}
R2 v1 2026-06-21T17:55:32.736Z