A combinatorial problem on a directed graph

 

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Библиографические подробности
Авторы: Marrero, Osvaldo, Pasles, Paul C.
Формат: artículo original
Статус:Versión publicada
Дата публикации:2016
Описание: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.
Страна:Portal de Revistas UCR
Институт:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Язык:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/25267
Online-ссылка:https://revistas.ucr.ac.cr/index.php/matematica/article/view/25267
Ключевое слово:grafos orientados
juegos en grafos
identidades combinatorias
probabilidad combinatoria
directed graphs
games on graphs
combinatorial identities
combinatorial probability