
Hamiltonian Circuits and Paths Concepts

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Easy

Sophia Harris
Used 2+ times
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of a Hamiltonian Circuit?
Covering every vertex twice
Visiting every edge twice
Covering every edge once
Visiting every vertex once
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of Hamiltonian Paths, what is a key difference compared to Hamiltonian Circuits?
They can skip vertices
They can start and end at different vertices
They must start and end at the same vertex
They must cover every edge
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Who is credited with studying Hamiltonian Circuits in the 1800s?
Leonhard Euler
William Rowan Hamilton
Isaac Newton
Carl Friedrich Gauss
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a Hamiltonian Circuit?
A circuit that visits every edge once
A path that visits every vertex once and returns to the starting point
A circuit that visits every vertex once and returns to the starting point
A path that visits every edge once
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a Hamiltonian Path?
A path that visits every vertex once without returning to the starting point
A circuit that visits every edge once
A circuit that visits every vertex once and returns to the starting point
A path that visits every vertex once and returns to the starting point
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is there no simple theorem for determining the existence of Hamiltonian Circuits?
Because their existence cannot be easily determined for all graphs
Because they depend on the number of edges
Because they are always present in graphs
Because they depend on the number of vertices
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the focus of the Traveling Salesman Problem?
Finding the longest path
Finding the shortest path
Finding the optimal Hamiltonian Circuit with the lowest total weight
Finding the optimal Euler Circuit
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Understanding Sequences and Graph Theory

Interactive video
•
7th - 10th Grade
10 questions
Repetitive Nearest Neighbor Algorithm Concepts

Interactive video
•
9th - 10th Grade
6 questions
Philippines: Manila, Canary Islands: Tenerife, Japan: Tokyo Bay, USA, Germany: Ramstein

Interactive video
•
9th - 10th Grade
6 questions
Circuitos electricos: resumiendo

Interactive video
•
10th - 12th Grade
11 questions
Understanding Circuits: Current, Resistance, and Voltage

Interactive video
•
9th - 12th Grade
11 questions
Understanding Current Flow in Circuits

Interactive video
•
9th - 12th Grade
11 questions
Understanding TN-S and TN-C-S Earthing Arrangements

Interactive video
•
10th - 12th Grade
11 questions
Inductive Reactance and Circuit Behavior

Interactive video
•
9th - 12th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
15 questions
Slope

Lesson
•
7th - 9th Grade
15 questions
Solving Literal Equations

Quiz
•
8th - 9th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
10 questions
Solving Absolute Value Equations

Quiz
•
9th Grade