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The number of rooted nearly cubicC-nets

The number of rooted nearly cubicC-nets This paper provides the parametric expressions satisfied by the enumerating functions for rooted nearly cubicc-nets with the size and/or the root-vertex valency of the maps as the parameters via nonseparable nearly cubic maps. On this basis, two explicit expressions of the functions can be derived by employing Lagrangian inversion. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mathematicae Applicatae Sinica, English Series" Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © Science Press 2001
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/bf02669681
Publisher site
See Article on Publisher Site

Abstract

This paper provides the parametric expressions satisfied by the enumerating functions for rooted nearly cubicc-nets with the size and/or the root-vertex valency of the maps as the parameters via nonseparable nearly cubic maps. On this basis, two explicit expressions of the functions can be derived by employing Lagrangian inversion.

Journal

"Acta Mathematicae Applicatae Sinica, English Series"Springer Journals

Published: Jan 1, 2001

Keywords: Planar map; enumerating equation; generating function; Lagrangian inversion

References