English

A More Complicated Hardness Proof for Finding Densest Subgraphs in Bounded Degree Graphs

Computational Complexity 2013-06-28 v1 Discrete Mathematics Combinatorics

Abstract

We consider the Densest-Subgraph problem, where a graph and an integer k is given and we search for a subgraph on exactly k vertices that induces the maximum number of edges. We prove that this problem is NP-hard even when the input graph has maximum degree three.

Keywords

Cite

@article{arxiv.1306.6598,
  title  = {A More Complicated Hardness Proof for Finding Densest Subgraphs in Bounded Degree Graphs},
  author = {Manuel Sorge},
  journal= {arXiv preprint arXiv:1306.6598},
  year   = {2013}
}
R2 v1 2026-06-22T00:41:39.111Z