Ribbon graph minors and low-genus partial duals
Iain Moffatt

TL;DR
This paper characterizes ribbon graphs that can be transformed into graphs of Euler genus at most one through partial duals, providing a clear criterion based on excluded minors.
Contribution
It offers the first excluded minor characterization for ribbon graphs with low-genus partial duals, advancing understanding of their structural properties.
Findings
Identifies specific minors that prevent low-genus partial duals.
Provides a complete classification of such ribbon graphs.
Establishes a foundation for further topological graph analysis.
Abstract
We give an excluded minor characterisation of the class of ribbon graphs that admit partial duals of Euler genus at most one.
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Taxonomy
TopicsGeometric and Algebraic Topology · Finite Group Theory Research · Algebraic Geometry and Number Theory
