A combinatorial problem on a directed graph
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 ea...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Costa Rica |
| Institution: | Universidad de Costa Rica |
| Repository: | Portal de Revistas UCR |
| Language: | Spanish |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/25267 |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/25267 |
| Access Level: | Open access |
| Keyword: | grafos orientados juegos en grafos identidades combinatorias probabilidad combinatoria directed graphs games on graphs combinatorial identities combinatorial probability |
| Summary: | 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. |
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