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Efficient Algorithms for the K Bottleneck Paths Problem

Student: Vorobyev Dmitry

Supervisor: Dmitriy Malyshev

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Data Mining (Master)

Year of Graduation: 2024

Tasks involving graphs play an important role in computer science and applied analysis, including logistics, network technologies, route planning, and product development. One of the main tasks is the Bottleneck Path Problem, which involves finding a path between vertices with the minimum edge weight as the maximum. Solutions to this problem are used in various areas such as logistics, network technologies, urban planning, and business. These solutions are also applied to creating a unified image from multiple photographs. The work compares three algorithms for solving the problem of k maximin paths, where k is the number of vertex pairs, n is the number of vertices, and m is the number of edges.

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