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Lecture Notes in Computer Science
In this article we define a canonical decomposition of rooted outerplanar maps into a spanning tree and a list of edges. This decomposition, constructible in linear time in the Word-RAM model, implies the existence of bijection between rooted outerplanar maps with n nodes and bicolored rooted ordered trees with n nodes where all the nodes of the last branch are colored white. As a consequence, for rooted outerplanar maps of n nodes, we derive: • an enumeration formula, and an asymptotic of 2doi:10.1007/978-3-540-39890-5_8 fatcat:srh2fz2cofe3hjfemlhkgxuyea