• If a graph is planar and has n vertices, can it have two vertices of degree n-1? Can ithave three vertices of degree n-1? Justify your answer. • If a planar graph has 11 vertices and four times as many edges as faces, how manyfaces does it have? Is there a planar graph with 13 vertices that has three times moreedges than faces?

If a graph is planar and has n vertices, it cannot have two vertices of degree n-1. However, it can…

Answered: If a planar graph has 11 vertices and…

If a planar graph has 11 vertices and four times as many edges as faces, how many faces does it have? Is there a planar graph with 13 vertices that has three times more edges than faces?

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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Concept explainers

Strongly Connected Components

A directed graph in which a path exists between all its pairs of vertices is called a strongly connected graph. A portion of the strongly connected directed graph that contains a path to reach from each vertex to other vertices is called a strongly connected component (SCC).

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• If a graph is planar and has n vertices, can it have two vertices of degree n-1? Can it
have three vertices of degree n-1? Justify your answer.

• If a planar graph has 11 vertices and four times as many edges as faces, how many
faces does it have? Is there a planar graph with 13 vertices that has three times more
edges than faces?

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