Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the enumeration of planar maps - MaRDI portal

On the enumeration of planar maps

From MaRDI portal
Publication:5539646

DOI10.1090/S0002-9904-1968-11877-4zbMath0157.31101OpenAlexW2013871685MaRDI QIDQ5539646

William T. Tutte

Publication date: 1968

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1968-11877-4



Related Items

Counting coloured planar maps: differential equations, Chromatic sums of singular maps on some surfaces., Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials, Enumeration of \(r\)-regular maps on the torus. I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus, A generalization of the language of Łukasiewicz coding rooted planar hypermaps, Relations fonctionnelles et dénombrement des cartes pointées sur le tore. (Functional relations and the enumeration of rooted genus one maps), Hypercartes pointées sur le tore: Décompositions et dénombrements. (Rooted genus one hypermaps on the torus: Decompositions and enumerations), Enumeration of 2-connected loopless 4-regular maps on the plane, Counting coloured planar maps, Schwinger–Dyson and loop equations for a product of square Ginibre random matrices, Triangles in random cubic planar graphs, Asymptotics of unitary and orthogonal matrix integrals, Enumeration of regular maps on surfaces of a given genus, Polytopes, graphs, and complexes, On the number of planar Eulerian orientations, An axiomatic characterization of the Brownian map, Feynman diagrams, ribbon graphs, and topological recursion of Eynard-Orantin, The number of rooted circuit boundary maps, Counting maps on doughnuts, Critical JT gravity, Fast Algorithms for Discrete Differential Equations, Counting 2-connected 4-regular maps on the projective plane, Graphical Enumeration and Stained Glass Windows, 1: Rectangular Grids, Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants, Nesting statistics in the \(O(n)\) loop model on random planar maps, On ordering of \(\beta\)-description trees, An arithmetic property of moments of the \(\beta\)-Hermite ensemble and certain map enumerators, Rooted planar maps modulo some patterns, On the structure of random graphs with constant \(r\)-balls, Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices, Linear lambda terms as invariants of rooted trivalent maps, Counting rooted unicursal planar maps, Asymptotic expansions for sub-critical lagrangean forms, Planar maps and continued fractions, 4-edge-connected 4-regular maps on the projective plane, A census of petal bundles by genus, Énumération des cartes pointées sue la bouteille de Klein, Enumeration of 4-regular one-face maps, Enumeration of \(N\)-rooted maps using quantum field theory, Classification of the genus-1 rooted maps and associated functional relation, Submaps of maps. I: General 0-1 laws, Enumerating near-4-regular maps on the sphere and the torus, Polynomial equations with one catalytic variable, algebraic series and map enumeration, Efficient enumeration of sensed planar maps, Counting colored planar maps: algebraicity results, On topological minors in random simplicial complexes, Étude syntaxique de certains langages solutions d'équations avec opérateurs, Enumeration of maps on the projective plane, Random walk on random planar maps: spectral dimension, resistance and displacement, Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense, The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces, The combinatorics of N. G. de Bruijn, Enumeration of planar constellations with an alternating boundary, The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity, Enumeration of almost cubic maps, Second order cumulants of products, Counting rooted maps by genus. I, Counting rooted maps by genus. II, Counting rooted maps on an orientable surface of any genus by a function of the numbers of vertices and faces, Enumeration des graphes planaires à l'aide des séries formelles en variables non commutatives, Sur la rationalite de certaines séries generatrices, Counting rooted maps on a surface, Generalized Dyck equations and multilabel trees, Le schéma de carte et ses applications, A combinatorial proof of J. West's conjecture, 4-regular maps on the Klein bottle, The number of loopless \(4\)-regular maps on the projective plane, A survey of the asymptotic behaviour of maps, Description trees and Tutte formulas., The enumeration of general rooted planar maps, Une relation fonctionnelle nouvelle sur les cartes planaires pointées, Enumeration of unrooted hypermaps, On functional equations arising from map enumerations, A pattern for the asymptotic number of rooted maps on surfaces, Multiple scale asymptotics of map enumeration



Cites Work