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The number of rooted nearly cubicC-nets
Authors:Cai Junliang  Liu Yanpei
Institution:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(2) Department of Mathematics, Northern Jiaotong University, 100044 Beijing, China
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. This Research is supported by National Natural Science Foundation of China (No. 19831080).
Keywords:Planar map  enumerating equation  generating function  Lagrangian inversion
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