Guide to Walks, Trails, Paths, Circuits, and Cycles! [Graph Theory Tutorial]
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Guide to Walks, Trails, Paths, Circuits, and Cycles! [Graph Theory Tutorial]
This video explains walks, trails, paths, circuits, and cycles in graph theory. In graph theory, a walk is defined as a sequence of alternating vertices and edges, like Vertex 1, Edge 1, Vertex 2, Edge 2, etc. Walks are how we traverse a network. In a walk, you are allowed to repeat edges and vertices as many times as you'd like. A trail, on ...
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196K views · 591 reactions | A Hamiltonian path is a route that passes through every node in a graph exactly once. Finding Hamiltonian paths can overload even the best-known algorithm for the job. Finding Eulerian paths that pass through every edge is computationally simpler. https://www.quantamagazine.org/complexity-theorys-50-year-journey-to-the-limits-of-knowledge-20230817/ | Quanta Magazine | Facebook
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196K views · 591 reactions | A Hamiltonian path is a route that passes through every node in a graph exactly once. Finding Hamiltonian paths can overload even the best-known algorithm for the job. Finding Eulerian paths that pass through every edge is computationally simpler. https://www.quantamagazine.org/complexity-theorys-50-year-journey-to-the-limits-of-knowledge-20230817/ | Quanta Magazine | Facebook
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