Exact enumeration of rooted 3-connected triangular maps on the projective plane

DOI10.1016/S0166-218X(03)00375-5zbMath1042.05052OpenAlexW1970103772MaRDI QIDQ1827859

Zhi-Cheng Gao, Jian-Yu Wang

Publication date: 6 August 2004

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-218x(03)00375-5

zbMATH Keywords

EnumerationProjective planeTriangular map

Mathematics Subject Classification ID

Enumeration in graph theory (05C30)

Related Items (2)

Counting 2-connected 4-regular maps on the projective plane ⋮ 4-edge-connected 4-regular maps on the projective plane

Cites Work

• Matrix integrals and map enumeration: an accessible introduction
• A survey of the asymptotic behaviour of maps
• The asymptotic number of rooted maps on a surface
• Relations fonctionnelles et dénombrement des cartes pointées sur le tore. (Functional relations and the enumeration of rooted genus one maps)
• Quantum field theory techniques in graphical enumeration
• The number of rooted triangular maps on a surface
• The number of rooted 2-connected triangular maps on the projective plane
• The number of rooted maps on an orientable surface
• A pattern for the asymptotic number of rooted maps on surfaces
• Catalan triangulations of the Möbius band
• Counting planar diagrams with various restrictions
• A Census of Planar Triangulations
• A Census of Hamiltonian Polygons
• Singularity Analysis of Generating Functions
• A Census of Slicings
• The Enumeration of Maps on the Torus and the Projective Plane
• The planar approximation. II
• Enumeration of Triangulations of the Disk
• On the enumeration of non-planar maps
• A Census of Planar Maps
• Dichromatic polynomials and Potts models summed over rooted maps
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