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  2. Path − Path represents a sequence of edges between the two vertices. In the following example, ABCD represents a path from A to D.
    www.tutorialspoint.com/data_structures_algorithms…

    Examples

    • A graph is connected if there are paths containing each pair of vertices.
    • A directed graph is strongly connected if there are oppositely oriented directed paths containing each pair of vertices.
    en.wikipedia.org/wiki/Path_(graph_theory)
     
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    In the mathematical field of graph theory, a path graph (or linear graph) is a graph whose vertices can be listed in the order v1, v2, …, vn such that the edges are {vi, vi+1} where i = 1, 2, …, n − 1. Equivalently, a path with at least two vertices is connected and has two terminal vertices (vertices that have … See more

    In algebra, path graphs appear as the Dynkin diagrams of type A. As such, they classify the root system of type A and the Weyl group of type A, which is the symmetric group See more

     
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  5. 1) In the graph (a) Find a path of length \(3\). (b) Find a cycle of length \(3\). (c) Find a walk of length \(3\) that is neither a path nor a cycle. Explain why your answer is correct. 2) Prove that in a graph, any walk that starts and ends with …

  6. Feb 18, 2022 · Consider the following graph. Figure \(\PageIndex{1}\): A example graph to illustrate paths and trails. This graph has the following properties. Every path or trail passing through \(v_1\) must start or end there but cannot be …

  7. 1.4. Paths and Connection — Graph Theory

  8. A path between two vertices of a graph that visits each vertex of the graph exactly once is called an Euler path.

  9. Path Graphs - Mathonline - Wikidot

  10. Graph Path -- from Wolfram MathWorld

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  12. 5 Paths in Graphs | Graphs - GitHub Pages

  13. 5.1: The Basics of Graph Theory - Mathematics LibreTexts

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