Counting unicellular maps on non-orientable surfaces
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Publication:550259
DOI10.1016/j.aam.2010.09.001zbMath1234.05019arXiv1006.5172OpenAlexW2013194786MaRDI QIDQ550259
Olivier Bernardi, Guillaume Chapuy
Publication date: 8 July 2011
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.5172
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)
Related Items (9)
A general framework for the polynomiality property of the structure coefficients of double-class algebras ⋮ A topological framework for signed permutations ⋮ Classes of graphs embeddable in order-dependent surfaces ⋮ A simple model of trees for unicellular maps ⋮ Calculating the Euler characteristic of the moduli space of curves ⋮ An analogue of the Harer-Zagier formula for unicellular maps on general surfaces ⋮ Enumerating simplicial decompositions of surfaces with boundaries ⋮ A bijection for rooted maps on general surfaces ⋮ Enumeration of non-oriented maps via integrability
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- A direct bijection for the Harer-Zagier formula
- Démonstration combinatoire de la formule de Harer–Zagier
- A Bijection for Rooted Maps on Orientable Surfaces
- Maps in Locally Orientable Surfaces, the Double Coset Algebra, and Zonal Polynomials
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