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Maximum Pagenumber-k Subgraph is NP-Complete

Computational Complexity 2015-04-24 v2

Abstract

Given a graph GG with a total order defined on its vertices, the Maximum Pagenumber-kk Subgraph Problem asks for a maximum subgraph GG' of GG such that GG' can be embedded into a kk-book when the vertices are placed on the spine according to the specified total order. We show that this problem is NP-complete for k2k \geq 2.

Keywords

Cite

@article{arxiv.1504.05908,
  title  = {Maximum Pagenumber-k Subgraph is NP-Complete},
  author = {Peter Jonsson and Marco Kuhlmann},
  journal= {arXiv preprint arXiv:1504.05908},
  year   = {2015}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-22T09:20:43.726Z