Classifying edge-biregular maps of negative prime Euler characteristic

DOI10.26493/2590-9770.1392.f9aOpenAlexW3180287165WikidataQ114040683 ScholiaQ114040683MaRDI QIDQ5045273

Jozef Širáň, Olivia Reade

Publication date: 4 November 2022

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00322

zbMATH Keywords

automorphism groupEuler characteristicnon-orientable surfacebiregular map

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

Introducing edge-biregular maps

Cites Work

• New tools for the construction of directed strongly regular graphs: difference digraphs and partial sum families
• Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\)
• The automorphisms of bi-Cayley graphs
• The genera, reflexibility and simplicity of regular maps
• Cantankerous maps and rotary embeddings of \(K_ n\)
• Biprimitive graphs of smallest order
• Introducing edge-biregular maps
• Bi-rotary maps of negative prime characteristic
• Über die Auflösbarkeit faktorisierbarer Gruppen
• How symmetric can maps on surfaces be?
• FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY
• Theory of Maps on Orientable Surfaces
• Classification of regular maps of negative prime Euler characteristic
• AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME

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