Euler Tour

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Euler Tour of Tree - GeeksforGeeks

https://www.geeksforgeeks.org/euler-tour-tree/

Mar 30, 2018 · 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:2/5

Eulerian Cycle -- from Wolfram MathWorld

https://mathworld.wolfram.com/EulerianCycle.html

Aug 24, 2020 · An Eulerian cycle, also called an Eulerian circuit, Euler circuit, Eulerian tour, or Euler tour, is a trail which starts and ends at the same graph vertex. In other words, it is a graph cycle which uses each graph edge exactly once. For technical reasons, Eulerian cycles are mathematically easier to study than are Hamiltonian cycles. An Eulerian cycle for the octahedral graph is illustrated above.

Euler tour of a tree in C++ - CodeSpeedy

https://www.codespeedy.com/euler-tour-of-a-tree-in-cpp/

Euler Tour: Euler Tour of a tree is defined as the path traversed in the graph such that each vertex is added to the path as it is visited. This includes both entering from parent to child and child to parent traversal. The tour starts from the root and ends at the root …

Euler Tour - Euler Trail - Educative Site

https://educativesite.com/euler-tour-euler-trail/

Euler Tour. Euler tour is a graph cycle when every edge is traversed exactly once but nodes (vertices) may be visited more than once and all vertices have even degree with start and end node is the same. Fig: Euler Tour. Euler Trail

What is a Euler or Eulerian tour? - iq.opengenus.org

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 it …Author: Alexa Ryder

Euler Tour Subtree Sum using Segment Tree - GeeksforGeeks

https://www.geeksforgeeks.org/euler-tour-subtree-sum-using-segment-tree/

Apr 17, 2018 · Euler tour tree (ETT) is a method for representing a rooted tree as a number sequence. When traversing the tree using Depth for search(DFS), insert each node in a vector twice, once while entered it and next after visiting all its children.This method is very useful for solving subtree problems and one such problem is Subtree Sum.. Prerequisite : Segment Tree(Sum of given range)3.3/5

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