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What is a Euler or Eulerian tour?

    https://iq.opengenus.org/what-is-a-euler-or-eulerian-tour/
    An Euler tour or Eulerian tour in an undirected graph is a tour/ path that traverses each edge of the graph exactly once. Graphs that have an Euler tour are called Eulerian graphs. Necessary and sufficient conditions An undirected graph has a closed Euler tour if and only if …Author: Alexa Ryder

Euler Paths and Euler Circuits

    https://jlmartin.ku.edu/~jlmartin/courses/math105-F11/Lectures/chapter5-part2.pdf
    Euler Paths and Euler Circuits An Euler path is a path that uses every edge of a graph exactly once. An Euler circuit is a circuit that uses every edge of a graph exactly once. IAn Euler path …

Discrete math: Euler cycle or Euler tour/path?

    https://math.stackexchange.com/questions/326898/discrete-math-euler-cycle-or-euler-tour-path
    a graph is Eulerian if its contains an Eulerian circuit, where Eulerian circuit is an Eulerian trail. By eulerian trail we mean a trail that visits every edge of a graph once and only once. now use the result that "A connectded graph is Eulerian if and only if every vertex of G has even degree." now you may distinguish easily.

Euler Tour of Tree - GeeksforGeeks

    https://www.geeksforgeeks.org/euler-tour-tree/
    Jul 20, 2020 · Euler tour is defined as a way of traversing tree such that each vertex is added to the tour when we visit it (either moving down from parent vertex or returning from child vertex). We start from root and reach back to root after visiting all vertices. It requires exactly 2*N-1 vertices to store Euler tour. Approach: We will run DFS(Depth first search) algorithm on Tree as:

Euler Paths and Circuits - openmathbooks.github.io

    http://discrete.openmathbooks.org/dmoi2/sec_paths.html
    Section 4.4 Euler Paths and Circuits Investigate! 35 An Euler path, in a graph or multigraph, is a walk through the graph which uses every edge exactly once.An Euler circuit is an Euler path which starts and stops at the same vertex. Our goal is to find a quick way to check whether a graph (or multigraph) has an Euler path or circuit. Which of the graphs below have Euler paths?

Hamiltonian vs Euler Path Baeldung on Computer Science

    https://www.baeldung.com/cs/hamiltonian-vs-euler-path
    Jun 09, 2020 · An Euler path is a walk where we must visit each edge only once, but we can revisit vertices. An Euler path can be found in a directed as well as in an undirected graph. Let’s discuss the definition of a walk to complete the definition of the Euler path. A walk simply consists of a sequence of vertices and edges.

Euler Circuit in a Directed Graph - GeeksforGeeks

    https://www.geeksforgeeks.org/euler-circuit-directed-graph/
    Jul 23, 2019 · Eulerian Path is a path in graph that visits every edge exactly once. Eulerian Circuit is an Eulerian Path which starts and ends on the same vertex. A graph is said to be eulerian if it has a eulerian cycle. We have discussed eulerian circuit for an undirected graph. In this post, the same is discussed for a directed graph.

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