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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"pòlya's theorem"" "subject:"polya's theorem""

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Applications of Random Walks : How Random Walks Are Used in Wilson's Algorithm and How They Connect to Electrical Networks

Jonsson, Erik January 2024 (has links)
In this master thesis we will show how random walks are used in Wilson's algorithm to generate spanning trees of graphs, and how they can be used to calculate the number of spanning trees in a graph. We will also explore the connection between electrical networks and random walks, and how this connection can be exploited to prove Pólya's theorem (normally proved with probability and combinatorics) using electrical arguments.
Random Walks
Wilson's Algorithm
Electrical Networks
Pòlya's theorem
Probability Theory and Statistics
Sannolikhetsteori och statistik

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