Hardness of planarity for weak temporal sequences of 2-connected graphs

A weak deletion sequence is a sequence ( G 1 , … , G n ) of graphs so that for each i ∈ [ n − 1 ] either G i is isomorphic to a subgraph of G i + 1 , or vice versa: G i + 1 is isomorphic to a subgraph of G i . We prove that determining the simultaneous planar embeddability of weak deletion sequences of 2-connected graphs is NP-hard.

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Publication Details

Journal
Theoretical Computer Science
Published
2026-02-21
DOI
https://doi.org/10.1016/j.tcs.2026.115825
Primary Topic
Advanced Graph Theory Research
Type
article
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article

Hardness of planarity for weak temporal sequences of 2-connected graphs

Johannes Carmesin, Will J. Turner
Theoretical Computer Science
Advanced Graph Theory Research
article

Hardness of planarity for weak temporal sequences of 2-connected graphs

Johannes Carmesin, Will J. Turner
article en

Abstract

A weak deletion sequence is a sequence ( G 1 , … , G n ) of graphs so that for each i ∈ [ n − 1 ] either G i is isomorphic to a subgraph of G i + 1 , or vice versa: G i + 1 is isomorphic to a subgraph of G i . We prove that determining the simultaneous planar embeddability of weak deletion sequences of 2-connected graphs is NP-hard.

Theoretical Computer ScienceVol. 1070
TU Bergakademie Freiberg (DE)
Openalex Percentile: Top 46%
Advanced Graph Theory Research
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Hardness of planarity for weak temporal sequences of 2-connected graphs — Johannes Carmesin, Will J. Turner · Theoretical Computer Science (2026) | TGRS Research Map | TGRS