Planar Whitehead graphs with cyclic symmetry arising from the study of Dunwoody manifolds

DOI10.1016/j.disc.2020.112096zbMath1448.05051arXiv1905.13588OpenAlexW3080296868MaRDI QIDQ2005687

James Howie, Alun G. T. Williams

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1905.13588

zbMATH Keywords

planar graphcirculant graphWhitehead graphcyclic presentationDunwoody manifold

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Graph theory (05C99) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (1)

Generalized polygons and star graphs of cyclic presentations of groups

Cites Work

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• On planarity and colorability of circulant graphs
• On the dunce hat
• Circulants and their connectivities
• COMPLEXITY, HEEGAARD DIAGRAMS AND GENERALIZED DUNWOODY MANIFOLDS
• Notes on More Fibonacci Groups
• On the Cyclic Branched Coverings of the 2-Bridge Knot b(17,4)

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