   # (a) determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. (b)If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 5.1, Problem 16ES
Textbook Problem
7 views

## (a) determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. (b)If the graph does not have an Euler circuit, does it have an Euler path? If so, find one. If not, explain why. To determine

To determine if the graph is Eulerian. If it is, to find an Euler circuit else to explain why not. And if the graph does not have an Euler circuit, to check if it has an Euler path. If it has to find it else to explain the reason for not having an Euler path.

### Explanation of Solution

Given information:

Given graph is

Calculation:

A graph is said to be Eulerian graph if it is a connected graph and every vertex of the graph has even degree.

Here,

The degree of A is 3

The degree of B is 4

The degree of C is 2

The degree of D is 2

The degree of E is 3

Since the graph is connected and all the vertices do not have even degree, the graph is not Eulerian.

A circuit (that starts and ends at the same vertex) is said to be Euler circuit if it uses every edge, but only once. (i.e. no edge is used more than once).

Since the graph is not Eulerian, Euler circuit does not exist...

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
For Problems 11-18, evaluate each expression. 42(4)2+3

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 121-128, perform the indicated operations and simplify each expression. 124. 5x2(3x2 + 1)4(6x) + (...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Which is larger? 1 milligram or 1 kilogram

Elementary Technical Mathematics

Define and compute the three measures of central tendency.

Research Methods for the Behavioral Sciences (MindTap Course List)

A definite integral for the area shaded at the right is: a) 0/2(sinxx)dx b) 0/2(sinx+x)dx c) 01(sinxx)dx d) 01(...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Problems 112 use the Laplace transform to solve the given initial-value problem. 11. y + 4y + 13y = (t ) + ...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

29. Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Use the quadratic equation to solve 2x2+3x+4=0.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List) 