Recent progress in enumeration of hypermaps

DOI10.1007/s10958-017-3555-5zbMath1481.05037OpenAlexW2756776868MaRDI QIDQ1687949

Roman Nedela, Alexander Mednykh

Publication date: 4 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3555-5

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (3)

Tests and proofs for custom data generators ⋮ Enumeration of hypermaps of a given genus ⋮ Counting hypermaps by Egorychev's method

Uses Software

• OEIS

Cites Work

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• Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices
• Classifying finite group actions on surfaces of low genus
• Counting conjugacy classes of subgroups in a finitely generated group.
• Enumeration of unrooted hypermaps of a given genus
• Regular combinatorial maps
• Introduction to arithmetical functions
• Hypercartes pointées sur le tore: Décompositions et dénombrements. (Rooted genus one hypermaps on the torus: Decompositions and enumerations)
• Combinatorial maps
• Hypermaps versus bipartite maps
• Classifying the actions of finite groups on orientable surfaces of genus 4
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Enumeration of planar constellations
• Maps, hypermaps and their automorphisms: A survey. I
• Virasoro constraints and topological recursion for Grothendieck's dessin counting
• Enumeration of unrooted maps of a given genus
• Enumeration of genus-four maps by number of edges
• Enumeration of Grothendieck's Dessins and KP Hierarchy
• A Multivariate Arithmetic Function of Combinatorial and Topological Significance
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Theory of Maps on Orientable Surfaces
• Enumeration of hypermaps of a given genus
• Enumeration of connected graph coverings
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Über die regulären Zerlegungen geschlossener orientierbarer Flächen.
• A Census of Planar Maps
• Subgroups of Finite Index in Free Groups
• A VON STERNECK ARITHMETICAL FUNCTION AND RESTRICTED PARTITIONS WITH RESPECT TO A MODULUS

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