The number of loopless \(4\)-regular maps on the projective plane

DOI10.1006/jctb.2001.2064zbMath1018.05046OpenAlexW2125019371MaRDI QIDQ1850577

Han Ren, Yanpei Liu

Publication date: 10 December 2002

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.2001.2064

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items

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 ⋮ Counting 2-connected 4-regular maps on the projective plane ⋮ Counting rooted 4-regular unicursal planar maps ⋮ 4-edge-connected 4-regular maps on the projective plane ⋮ Enumeration of rooted 4-regular maps without planar loops ⋮ Distributions of near-4-regular maps on the sphere and the projective plane ⋮ 4-regular maps on the Klein bottle

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