Classification of the genus-1 rooted maps and associated functional relation

DOI10.1016/0304-3975(93)90303-BzbMath0792.05069MaRDI QIDQ688679

Isabelle Jacques, Didier G. Arquès

Publication date: 15 December 1993

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

generating functionrooted planar mapsroot-edgerooted toroidal maps

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30)

Related Items

Classification of the genus-1 rooted maps and associated functional relation ⋮ Counting rooted maps on an orientable surface of any genus by a function of the numbers of vertices and faces ⋮ Formalizing mathematics in higher-order logic: A case study in geometric modelling ⋮ Counting rooted maps on a surface ⋮ Le schéma de carte et ses applications

Cites Work

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• Classification of the genus-1 rooted maps and associated functional relation
• Une relation fonctionnelle nouvelle sur les cartes planaires pointées
• 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)
• The asymptotic number of tree-rooted maps on a surface
• Counting rooted maps by genus. I
• The Enumeration of Maps on the Torus and the Projective Plane
• On the enumeration of non-planar maps
• On the enumeration of planar maps