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  1. Find All Simple Paths Between Two Vertices in a …

    • Learn how to find all simple paths between two nodes in a directed or undirected graph using DFS and backtracking. See the algorithm, implementation, complexity, and special cases fo… See more

    Overview

    In this article, we’ll discuss the problem of finding all the simple paths between two arbitrary vertices in a graph. We’ll start with the definition of the problem. Then, we’ll go through th… See more

    Baeldung
    Definition

    Let’s first remember the definition of a simple path. Suppose we have a directed graph , where is the set of vertices and is the set of edges. A simple path between two vertice… See more

    Baeldung
    Algorithm

    3.1. Theoretical Idea
    The basic idea is to generate all possible solutions using the Depth-First-Search (DFS) algorithm and Backtracking. In the beginning, … See more

    Baeldung
    Undirected Graphs

    The previous algorithm works perfectly fine for both directed and undirected graphs. The reason is that any undirected graph can be transformed to its equivalent directed gr… See more

    Baeldung
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  3. WEBFor n ≥ 0 n ≥ 0, a graph on n + 1 n + 1 vertices whose only edges are those used in a path of length n n (which is a walk of length n n that is also a path) is denoted by Pn P n.

  4. WEBA path in a graph is a subgraph that is a path; if the endpoints of the path are v and w we say it is a path from v to w. A cycle in a graph is a subgraph that is a cycle.

  5. SIMPLE PATH || GRAPH THEORY & TREES || DISCRETE …

  6. Graph Theory: Path vs. Cycle vs. Circuit - Baeldung

  7. Path Graph -- from Wolfram MathWorld

  8. In graph theory, what is the difference between a "trail" and a …

  9. Graph Path -- from Wolfram MathWorld

  10. Number of simple paths in a graph - Mathematics Stack Exchange

  11. simple-path | Graphology

  12. Graph: Does simple path mean no repeated vertices or edges?

  13. Graph convexity impartial games: : Complexity and winning …