English

Clustered Planarity with Pipes

Data Structures and Algorithms 2016-10-03 v1

Abstract

We study the version of the C-Planarity problem in which edges connecting the same pair of clusters must be grouped into pipes, which generalizes the Strip Planarity problem. We give algorithms to decide several families of instances for the two variants in which the order of the pipes around each cluster is given as part of the input or can be chosen by the algorithm.

Keywords

Cite

@article{arxiv.1609.09679,
  title  = {Clustered Planarity with Pipes},
  author = {Patrizio Angelini and Giordano Da Lozzo},
  journal= {arXiv preprint arXiv:1609.09679},
  year   = {2016}
}

Comments

19 pages, 9 figures, extended version of the paper appeared at ISAAC 2016

R2 v1 2026-06-22T16:06:30.136Z