Trees • Rooted tree: choose a root node r and orient edges away from r • Models hierarchical structure We say y is a parent (child) of x if they are neighbors and y is closer to (further from) the root than x! Tree Solving • How many edges are in a tree with.. • 2 nodes? • 3 nodes? • 7 nodes? • n nodes? Tree Proof • Claim for n>1, H(n): A tree with n nodes has n-1 edges

Trees • Rooted tree: choose a root node r and orient edges away from r • Models hierarchical structure We say y is a parent (child) of x if they are neighbors and y is closer to (further from) the root than x! Tree Solving • How many edges are in a tree with.. • 2 nodes? • 3 nodes? • 7 nodes? • n nodes? Tree Proof • Claim for n>1, H(n): A tree with n nodes has n-1 edges

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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Question

Trees
• Rooted tree: choose a root node r and orient edges away from r
• Models hierarchical structure
3
We say y is a parent (child) of x if they are neighbors and y is closer to
(further from) the root than x!
Tree Solving
• How many edges are in a tree with...
• 2 nodes? • 3 nodes? • 7 nodes? •n nodes?
Tree Proof
• Claim for n>1, H(n): A tree with n
nodes has n-1 edges

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