Routing Algorithms As An Application Of Graph Theory

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Gokberk_Yildirim_Master_Thesis__2071728.pdf

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2023-1-27

Author

Yıldırım, Gökberk

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This paper examines routing algorithms that are generally used in various network types, such as Internet Protocol in graph-based models, to find the shortest routing path or minimum cost. The fundamental approach for calculating the shortest path between one point to another is searching a given graph, starting at the source node, and traversing adjacent nodes until the destination node is reached. The aim is to identify the shortest routing path to the destination node. This paper searches well-known routing algorithms, namely Bellman-Ford and Dijkstra's single source shortest path algorithms, and their application areas like network communication protocols, a cryptocurrency exchange in arbitrage, and vertex-weighted directed graphs in robotics. The paper aims to decrease the number of blocked path requests and improve overall usage, especially in cryptographic tools. The routing algorithms are analyzed and defined with uncertainty arising from various factors, such as weather conditions and road capacity at specific times. The main challenges in the Shortest Path Algorithms (SPP) are identifying which edges to add and comparing the distances between different paths based on their edge lengths.

Subject Keywords

Bellman-Ford, Dijkstra, shortest path, routing algorithms, communication networks, directed graphs, minimum cycle path

URI

https://hdl.handle.net/11511/102142

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

G. Yıldırım, “Routing Algorithms As An Application Of Graph Theory,” M.S. - Master of Science, Middle East Technical University, 2023.