A combinatorial problem on a directed graph

 

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Détails bibliographiques
Auteurs: Marrero, Osvaldo, Pasles, Paul C.
Format: artículo original
Statut:Versión publicada
Date de publication:2016
Description:We consider two options for a particle’s entire journey through a certaindirectedgraph. Both options involve a random assignment to the journey route to be followed. We are interested in the option that offers, on average, the shortest route. Therefore, we determine the average journey length for each of the two options. As part of our analysis, we provesome combinatorial identities that appear to be new. Some suggestions for further work are given.
Pays:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Langue:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/25267
Accès en ligne:https://revistas.ucr.ac.cr/index.php/matematica/article/view/25267
Mots-clés:grafos orientados
juegos en grafos
identidades combinatorias
probabilidad combinatoria
directed graphs
games on graphs
combinatorial identities
combinatorial probability