Abstract
In this paper, the number of combinatorially distinct rooted nonseparable outerplanar maps withm edges and the valency of the root-face beingn is found to be
And, the number of rooted nonseparable outerplanar maps withm edges is also determined to be
which is just the number of distinct rooted plane trees withm − 1 edges.
Similar content being viewed by others
References
Liu Yanpei, Enumeration of Rooted Outerplanar Maps with Vertex Partition,KEXUE TONGB AO (Science Bulletin, English Edition),32:5 (1987), 295–299.
Liu Yanpei, Enumeration of Nonseparable Outerplanar Maps with Vertex Partition,KEXUE TONGB AO (Science Bulletin, English Edition),32:24 (1987), 1664–1668.
Egorichev, G. P., Integral Representation and the Computation of Combinatorial Sums, AMS, 1984.
Author information
Authors and Affiliations
Additional information
The Project Supported by National Natural Science Foundation of China.
Rights and permissions
About this article
Cite this article
Liu, Y. Enumeration of rooted nonseparable outerplanar maps. Acta Mathematicae Applicatae Sinica 5, 169–175 (1989). https://doi.org/10.1007/BF02009748
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02009748