English

Computing the vertex connectivity of a locally maximal 1-plane graph in linear time

Combinatorics 2021-12-14 v1 Discrete Mathematics

Abstract

It is known that the vertex connectivity of a planar graph can be computed in linear time. We extend this result to the class of locally maximal 1-plane graphs: graphs that have an embedding with at most one crossing per edge such that the endpoints of each pair of crossing edges induce the complete graph K4K_4

Keywords

Cite

@article{arxiv.2112.06306,
  title  = {Computing the vertex connectivity of a locally maximal 1-plane graph in linear time},
  author = {Therese Biedl and Karthik Murali},
  journal= {arXiv preprint arXiv:2112.06306},
  year   = {2021}
}

Comments

11 pages, 4 figures