Advances on Testing C-Planarity of Embedded Flat Clustered Graphs
Markus Chimani, Giuseppe Di Battista, Fabrizio Frati, Karsten Klein

TL;DR
This paper presents a polynomial-time algorithm for testing c-planarity in a specific class of embedded flat clustered graphs with limited cluster vertices per face.
Contribution
It introduces a new efficient algorithm for c-planarity testing applicable to embedded flat clustered graphs with at most two vertices per cluster on each face.
Findings
Polynomial-time c-planarity testing algorithm developed
Applicable to embedded flat clustered graphs with limited cluster vertices
Advances understanding of c-planarity in constrained graph classes
Abstract
We show a polynomial-time algorithm for testing c-planarity of embedded flat clustered graphs with at most two vertices per cluster on each face.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Optimization and Search Problems · Advanced Graph Theory Research
