English

Yet Another Graph Partitioning Problem is NP-Hard

Computational Complexity 2014-03-24 v1 Data Structures and Algorithms

Abstract

Recently a large number of graph separator problems have been proven to be \textsc{NP-Hard}. Amazingly we have found that α\alpha-Subgraph-Balanced-Vertex-Separator, an important variant, has been overlooked. In this work ``Yet Another Graph Partitioning Problem is NP-Hard" we present the surprising result that α\alpha-Subgraph-Balanced-Vertex-Separator is NPNP-Hard. This is despite the fact that the constraints of our new problem are harder to satisfy than the original problem.

Keywords

Cite

@article{arxiv.1403.5544,
  title  = {Yet Another Graph Partitioning Problem is NP-Hard},
  author = {Ryan H. Lewis},
  journal= {arXiv preprint arXiv:1403.5544},
  year   = {2014}
}
R2 v1 2026-06-22T03:31:50.861Z