A combinatorial problem on a directed graph

 

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Autores: Marrero, Osvaldo, Pasles, Paul C.
格式: artículo original
状态:Versión publicada
Fecha de Publicación:2016
实物特征: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.
País:Portal de Revistas UCR
机构:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
语言:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/25267
在线阅读:https://revistas.ucr.ac.cr/index.php/matematica/article/view/25267
Palabra clave:grafos orientados
juegos en grafos
identidades combinatorias
probabilidad combinatoria
directed graphs
games on graphs
combinatorial identities
combinatorial probability