\(Z\)-knotted and \(Z\)-homogeneous triangulations of surfaces

DOI10.1016/j.disc.2021.112405zbMath1466.05053arXiv2008.08126OpenAlexW3156472920MaRDI QIDQ2032727

Adam Tyc

Publication date: 14 June 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08126

zbMATH Keywords

triangulationembedded graphzigzag\(z\)-homogeneous triangulation\(z\)-knotted triangulation\(z\)-orientation

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Chemical graph theory (05C92)

Cites Work

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• Graph-encoded maps
• PentHex puzzles. A reliable and efficient top-down approach to fullerene-structure enumeration
• Connected sums of \(z\)-knotted triangulations
• On two types of \(Z\)-monodromy in triangulations of surfaces
• Geometric structure of chemistry-relevant graphs. Zigzags and central circuits
• A homological solution for the Gauss code problem in arbitrary surfaces
• On lacets and their manifolds

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