A combinatorial relationship between Eulerian maps and hypermaps in orientable surfaces

DOI10.1006/jcta.1998.2951zbMath0949.05019OpenAlexW2066624456MaRDI QIDQ1296755

David M. Jackson, Terry I. Visentin

Publication date: 29 November 2000

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1998.2951

zbMATH Keywords

rooted mapsorientable surfacesgenus series

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (2)

A generalization of the quadrangulation relation to constellations and hypermaps ⋮ A theorem on graph embedding with a relation to hyperbolic volume

Cites Work

• The asymptotic number of rooted maps on a surface
• Quantum field theory techniques in graphical enumeration
• Some combinatorial problems associated with products of conjugacy classes of the symmetric group
• Factorisations for partition functions of random Hermitian matrix models
• A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves
• A Character Theoretic Approach to Embeddings of Rooted Maps in an Orientable Surface of Given Genus
• Character Theory and Rooted Maps in an Orientable Surface of Given Genus: Face-Colored Maps
• Transitive factorisations into transpositions and holomorphic mappings on the sphere
• A Census of Planar Maps
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