Abstract
This paper provides a functional equation satisfied by rooted nearly cubic planar maps. By a nearly cubic map is meant such a map that all the vertices have valency 3 with the exception of at most the root-vertex. And, as a consequence, the corresponding functional equation for rooted cubic planar maps is found.
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Liu, Y. Chromatic sum equations for rooted cubic planar maps. Acta Mathematicae Applicatae Sinica 3, 136–167 (1987). https://doi.org/10.1007/BF02057587
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DOI: https://doi.org/10.1007/BF02057587