Character Theory and Rooted Maps in an Orientable Surface of Given Genus: Face-Colored Maps

DOI10.2307/2001536zbMath0738.05005OpenAlexW4233866421MaRDI QIDQ4711988

David M. Jackson, Terry I. Visentin

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001536

zbMATH Keywords

triangulationsgenusrooted maps

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Ordinary representations and characters (20C15) Enumeration in graph theory (05C30) Isotopy and pseudo-isotopy (57N37)

Related Items (13)

A general framework for the polynomiality property of the structure coefficients of double-class algebras ⋮ Counting partitions of a fixed genus ⋮ The singular values of the GUE (less is more) ⋮ Factorisations for partition functions of random Hermitian matrix models ⋮ Unnamed Item ⋮ A generalization of the quadrangulation relation to constellations and hypermaps ⋮ Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions ⋮ The KP hierarchy, branched covers, and triangulations ⋮ The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group ⋮ A combinatorial relationship between Eulerian maps and hypermaps in orientable surfaces ⋮ 4-regular maps on the Klein bottle ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮ A pattern for the asymptotic number of rooted maps on surfaces

Cites Work

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• Hypercartes pointées sur le tore: Décompositions et dénombrements. (Rooted genus one hypermaps on the torus: Decompositions and enumerations)
• Hypermaps versus bipartite maps
• Some combinatorial problems associated with products of conjugacy classes of the symmetric group
• A Census of Slicings
• A Character Theoretic Approach to Embeddings of Rooted Maps in an Orientable Surface of Given Genus
• A Census of Planar Maps

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