Euler Circuits and Paths

Euler Circuits and Paths

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an Euler Path?

Back

An Euler Path is a trail in a graph that visits every edge exactly once but may start and end at different vertices.

2.

FLASHCARD QUESTION

Front

What is an Euler Circuit?

Back

An Euler Circuit is a trail in a graph that visits every edge exactly once and starts and ends at the same vertex.

3.

FLASHCARD QUESTION

Front

What is the starting and ending point of an Euler Circuit?

Back

An Euler Circuit starts and ends at the same vertex.

4.

FLASHCARD QUESTION

Front

What is the starting and ending point of an Euler Path?

Back

An Euler Path starts and ends at different vertices.

5.

FLASHCARD QUESTION

Front

Can an Euler Circuit exist in a graph with odd degree vertices?

Back

No, an Euler Circuit can only exist in a graph where all vertices have even degrees.

6.

FLASHCARD QUESTION

Front

Can an Euler Path exist in a graph with odd degree vertices?

Back

Yes, an Euler Path can exist in a graph with exactly two vertices of odd degree.

7.

FLASHCARD QUESTION

Front

What is the degree of a vertex in a graph?

Back

The degree of a vertex is the number of edges connected to it.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?