The Number of Rooted Nearly 2-Regular Loopless Planar Maps

Shude Long; Junliang Cai

doi:10.5281/zenodo.3202132

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The Number of Rooted Nearly 2-Regular Loopless Planar Maps

Shude Long Junliang Cai

Year: 2019 Journal: Zenodo (CERN European Organization for Nuclear Research) Publisher: European Organization for Nuclear Research

DOI: 10.5281/zenodo.3202132

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Abstract

This paper investigates the enumeration of rooted nearly 2-regular loopless planar maps and presents some formulae for such maps with the valency of the root-face, the numbers of nonrooted vertices and inner faces as three parameters.

Keywords:

Planar Combinatorics Mathematics Arithmetic Discrete mathematics Computer science Computer graphics (images)

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Mathematics and Applications

Physical Sciences → Mathematics → Geometry and Topology

Point processes and geometric inequalities

Physical Sciences → Mathematics → Applied Mathematics

Stochastic processes and statistical mechanics

Physical Sciences → Mathematics → Mathematical Physics

The Number of Rooted Nearly 2-Regular Loopless Planar Maps

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