Counting outerplanar maps

Name: Counting outerplanar maps
Keywords: :05 Combinatorics [Classificació AMS], Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, :Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], Classificació AMS::05 Combinatorics

Geffner, I.; Noy Serrano, Marcos

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Article . 2017 . Peer-reviewed

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Recolector de Ciencia Abierta, RECOLECTA

Article . 2017 . Peer-reviewed

License: CC BY NC ND

Data sources: Recolector de Ciencia Abierta, RECOLECTA

Recolector de Ciencia Abierta, RECOLECTA

Article . 2017 . Peer-reviewed

License: CC BY NC ND

Data sources: Recolector de Ciencia Abierta, RECOLECTA

Counting outerplanar maps

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Spain

Authors: Geffner, I.; Noy Serrano, Marcos;

handle: 2117/108706

Counting outerplanar maps

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Abstract

A map is outerplanar if all its vertices lie in the outer face. We enumerate various classes of rooted outerplanar maps with respect to the number of edges and vertices. The proofs involve several bijections with lattice paths. As a consequence of our results, we obtain an e cient scheme for encoding simple outerplanar maps.

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Spain

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Keywords

:05 Combinatorics [Classificació AMS], Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, :Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], Classificació AMS::05 Combinatorics

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