Euler tour technique - Wikipedia
The Euler tour technique (ETT), named after Leonhard Euler, is a method in graph theory for representing trees. The tree is viewed as a directed graph that contains two directed edges for each edge in the tree.
Euler Tour of Tree - GeeksforGeeks
2023年1月12日 · 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.
Eulerian path - Wikipedia
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices). Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex.
Euler Tour Technique · USACO Guide
Here's the code we're going to use to perform a Euler Tour on the graph. Notice that it follows the same general structure as a normal depth-first search. It's just that in this algorithm, we're keeping a few auxiliary variables we're going to use later on.
13.1: Euler Tours and Trails - Mathematics LibreTexts
An Euler tour is a closed Euler trail. Recall the historical example of the bridges of Königsberg. The problem of finding a route that crosses every bridge exactly once, is equivalent to finding an Euler trail in the corresponding graph.
Đường đi Euler trên cây - VNOI Wiki
Đường đi Euler trên cây (Euler tour on tree) là một phương pháp hữu dụng được dùng nhiều trong các bài toán trên cây. Đây có thể được hiểu là một cách trải phẳng cây, từ đó các thao tác với cây có thể chuyển về thao tác với dãy một chiều.
Euler Tours An Euler tour is a path through a graph G that visits every edge exactly once. It mathematically formalizes the “trace this figure without picking up your pencil or redrawing any lines” puzzles. Classic Theorem 1: A graph G has a closed Euler tour if and only if G is connected and every node in G has even degree.
Eulerian Cycle -- from Wolfram MathWorld
6 天之前 · 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.
In a graph G, an Euler tour is a path through the graph that visits every edge exactly once. Mathematically formulates the “trace this figure without picking up your pencil or redrawing any lines” puzzles.
The Euler tour of a tree is essentially the depth-first traversal of a tree that returns to the root at the end. The correspondence between a tree and its Euler tour is shown in Figure 1.