Counting rooted 4-regular unicursal planar maps

A map is 4-regular unicursal if all its vertices are 4-valent except two odd-valent vertices. This paper investigates the number of rooted 4-regular unicursal planar maps and presents some formulae for such maps with four parameters: the number of edges, the number of inner faces and the valencies o...

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Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2017-10, Vol.33 (4), p.909-918
Hauptverfasser:	Long, Shu-de, Cai, Jun-liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
Online-Zugang:	Volltext
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