[HTML][HTML] Parameterized complexity of graph planarity with restricted cyclic orders

G Liotta, I Rutter, A Tappini - Journal of Computer and System Sciences, 2023 - Elsevier
We study the complexity of testing whether a biconnected graph G=(V, E) is planar with the
constraint that some cyclic orders of the edges incident to its vertices are allowed while …

Parameterized complexity of graph planarity with restricted cyclic orders

G Liotta, I Rutter, A Tappini - … Workshop on Graph-Theoretic Concepts in …, 2022 - Springer
We study the complexity of testing whether a biconnected graph is planar with the additional
constraint that some cyclic orders of the edges incident to its vertices are allowed while …

Planar confluent orthogonal drawings of 4-modal digraphs

S Cornelsen, G Diatzko - International Symposium on Graph Drawing and …, 2022 - Springer
In a of a directed graph (digraph) vertices are drawn as points in the plane and edges as
orthogonal polylines starting with a vertical segment and ending with a horizontal segment …

Parameterized and Approximation Algorithms for the Maximum Bimodal Subgraph Problem

W Didimo, FV Fomin, PA Golovach, T Inamdar… - … Symposium on Graph …, 2023 - Springer
A vertex of a plane digraph is bimodal if all its incoming edges (and hence all its outgoing
edges) are consecutive in the cyclic order around it. A plane digraph is bimodal if all its …

The -Planar Edge Completion Problem is Fixed-Parameter Tractable

L Khazaliya, P Kindermann, G Liotta… - arXiv preprint arXiv …, 2023 - arxiv.org
The problem of deciding whether a biconnected planar digraph $ G=(V, E) $ can be
augmented to become an $ st $-planar graph by adding a set of oriented edges …

[PDF][PDF] 5.3 The Maximum Bimodal Subgraph Problem: Parameterized Complexity and Approximation Scheme

W Didimo, FV Fomin - New Frontiers of Parameterized Complexity in … - drops.dagstuhl.de
A plane digraph G is a directed planar graph with a given planar embedding. In particular,
the embedding of G defines the circular ordering of the edges incident to each vertex. A …