English

The Densest k Subgraph Problem in b-Outerplanar Graphs

Data Structures and Algorithms 2019-07-10 v1

Abstract

We give an exact O(nk2)O(nk^2) algorithm for finding the densest k subgraph in outerplanar graphs. We extend this to an exact O(nk28b)O(nk^2 8^b) algorithm for finding the densest k subgraph in b-outerplanar graphs. Finally, we hypothesize that Baker's PTAS technique will not work for the densest k subgraph problem in planar graphs.

Keywords

Cite

@article{arxiv.1907.03863,
  title  = {The Densest k Subgraph Problem in b-Outerplanar Graphs},
  author = {Sean Gonzales and Theresa Migler},
  journal= {arXiv preprint arXiv:1907.03863},
  year   = {2019}
}
R2 v1 2026-06-23T10:15:24.981Z