Maximum Pagenumber-k Subgraph Is NP-Complete

Peter Jonsson and Marco Kuhlmann. Maximum Pagenumber-k Subgraph Is NP-Complete. CoRR, abs/1504.05908, 2015.


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