Hamiltonian Paths Quizzes, Questions & Answers

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Test On Euler and Hamilton Paths and Circuits

Test your knowledge of Euler and Hamilton Paths and Circuits with this amazing quiz and determine whether a graph has an Euler or a Hamilton path. An Euler path is a path in a graph that uses every edge exactly one time, and it...

Questions: 13 | Attempts: 9983 | Last updated: Oct 19, 2025

Sample Question 1
List the vertices in the above graph:

{A,B,C,D,E,F,G,H}

{A,B,F,G,H}

{D,E}

{F,G,H}

Sample Question 2
Refer to the above graph and choose the best answer:

Euler path and Euler circuit

Euler path only

Euler circuit only

Neither an Euler path nor Euler circuit

Hamiltonian Paths Basics Quiz

Are you ready to explore how paths move through every vertex in a graph? This quiz walks you through the core ideas behind Hamiltonian paths—what they are, how they behave, and how they differ from cycles. You’ll...

Questions: 15 | Attempts: 19 | Last updated: Jan 27, 2026

Sample Question 1
A Hamiltonian path in a graph is a path that:

Uses every edge exactly once

Visits every vertex exactly once

Returns to the starting vertex

Has no repeated edges

Sample Question 2
Every Hamiltonian cycle is also a Hamiltonian path.

True

False

Recent Hamiltonian Paths Quizzes

Advanced Hamiltonian Path Theory Quiz

Think you’re ready to take your Hamiltonian knowledge to the next level? This graduate-level quiz challenges you to apply deeper graph-theoretic ideas, from strict degree conditions to bipartite constraints and...

Questions: 15 | Attempts: 12 | Last updated: Dec 12, 2025

Sample Question
A graph is Hamiltonian if it contains:

A path using all edges

A cycle using all vertices once

A path using all vertices

A cycle using all edges