An Euler tour of a graph is a path that traverses each edge exacty once. In the context of a tree, we say that each edge is bidirectional, so the Euler tour is the path along the tree that begins at the root and ends at the root, traversing each edge exactly twice - once to enter the subtree at the other endpoint and X once to leave iit You can think of an Euler tour as just being a depth first traversal where we return to the root at the end. In other words, Euler tour traversal of a tree is defined as a way of traversing tree such that each node is added to the tour when we visit it (either moving down from parent or returning from child). See the following example. 18 13 12 3 11 14 15 16 17 7

An Euler tour of a graph is a path that traverses each edge exacty once. In the context of a tree, we say that each edge is bidirectional, so the Euler tour is the path along the tree that begins at the root and ends at the root, traversing each edge exactly twice - once to enter the subtree at the other endpoint and X once to leave iit You can think of an Euler tour as just being a depth first traversal where we return to the root at the end. In other words, Euler tour traversal of a tree is defined as a way of traversing tree such that each node is added to the tour when we visit it (either moving down from parent or returning from child). See the following example. 18 13 12 3 11 14 15 16 17 7

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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