2026-04-17T03:51:05Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/1193722025-07-17T15:49:15Zcom_2072_1033col_2072_452951
RECERCAT
author
Esteban Pascual, Guillermo
2018-07
We propose the study of counting problems for geometric graphs defined on point sets in convex position. Many formulae are known, for instance the numbers of triangulations are given by the Catalan numbers. Our approach to that topic is based on generating trees, production matrices, and Riordan arrays. We aim to derive such formulae with the mentioned tools, and also to prove new formulae for the numbers of geometric graphs, as well as relations among them.
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria
Combinatorial analysis
Geometric graph
Production matrix
Riordan array
Combinacions (Matemàtica)
Classificació AMS::05 Combinatorics::05A Enumerative combinatorics
Production matrices and enumeration of geometric graphs
Master thesis