Enumeration of rooted biloopless nonseparable planar near-triangulations

This paper investigates the number of rooted biloopless nonseparable planar near-triangulations and presents some formulae for such maps with three parameters: the valency of root-face, the number of edges and the number of inner faces. All of them are almost summation-free.

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Publication Details

Journal
Ars Combinatoria
Published
2025-03-22
DOI
https://doi.org/10.61091/ars162-08
Primary Topic
Computational Geometry and Mesh Generation
Type
article
Field-Weighted Citation Impact
0.00

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article

Enumeration of rooted biloopless nonseparable planar near-triangulations

Shude Long, Junliang Cai
Ars Combinatoria
Computational Geometry and Mesh Generation
article

Enumeration of rooted biloopless nonseparable planar near-triangulations

Shude Long, Junliang Cai
article en

Abstract

This paper investigates the number of rooted biloopless nonseparable planar near-triangulations and presents some formulae for such maps with three parameters: the valency of root-face, the number of edges and the number of inner faces. All of them are almost summation-free.

Ars CombinatoriaVol. 162
National Natural Science Foundation of China, Chongqing University, Chongqing University of Arts and Sciences, Chongqing Municipal Education Commission
Openalex Percentile: Top 91%
Computational Geometry and Mesh Generation
DOIOpen Access PDFOpenAlex
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Enumeration of rooted biloopless nonseparable planar near-triangulations — Shude Long, Junliang Cai · Ars Combinatoria (2025) | TGRS Research Map | TGRS