An analog of the Harer-Zagier formula for unicellular bicolored maps

DOI10.1007/BF02465782zbMath0903.05026OpenAlexW2076098515MaRDI QIDQ1128363

Nikolai Adrianov

Publication date: 26 August 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465782

zbMATH Keywords

mapgenusimbedding

Mathematics Subject Classification ID

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

Related Items

Weak multiplicativity for random quantum channels, A combinatorial way of counting unicellular maps and constellations, An analogue of the Harer-Zagier formula for unicellular maps on general surfaces, Bijective enumeration of some colored permutations given by the product of two long cycles, Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees, Rationality in map and hypermap enumeration by genus, A bijective proof of Jackson's formula for the number of factorizations of a cycle, A bijection for covered maps, or a shortcut between Harer-Zagiers and Jacksons formulas, A new combinatorial identity for unicellular maps, via a direct bijective approach, Some formulas for the number of gluings, Enumeration of non-oriented maps via integrability, Virasoro constraints and topological recursion for Grothendieck's dessin counting

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