Degree Of Vertex Quizzes, Questions & Answers

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Top Trending Degree Of Vertex Quizzes

In-Depth Degree Analysis in Graph Theory Quiz

Ready to dive deeper into vertex degrees as a powerful analytical tool? This postgraduate-level quiz pushes your understanding further by exploring degree conditions in multigraphs, bipartite graphs, and directed graphs....

Questions: 15 | Attempts: 14 | Last updated: Jan 27, 2026

Sample Question 1
In a simple undirected graph, the degree of a vertex (v) is:

The number of edges in the graph

The number of neighbours of (v)

The number of paths starting at (v)

The number of loops at (v)

Sample Question 2
A vertex (v) is adjacent to 4 distinct other vertices and has 2 loops at (v). What is deg(v) in a multigraph?

4

6

8

10

Sample Question 3
An undirected graph has 9 vertices and 13 edges. What is the sum of all vertex degrees?

13

18

22

26

Recent Degree Of Vertex Quizzes

Degree of a Vertex (Conceptual Foundations)

Curious about what vertex degree really represents? In this quiz, you’ll explore the concept from the ground up, learning how to identify and calculate degrees in different graph setups. You’ll practice with...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
The degree of a vertex in an undirected graph is:

The number of edges in the entire graph

The number of edges incident to that vertex

The number of vertices adjacent to it divided by 2

The number of loops in the whole graph

Degree of a Vertex (Advanced Applications and Extensions)

Ready for more complex degree problems? In this quiz, you’ll work through situations involving multigraphs, weighted edges, and trickier structures. You’ll apply your foundational understanding in new ways,...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
In a directed graph, the degree of a vertex is the sum of:

Its in-degree and out-degree

Number of vertices adjacent

Number of self-loops only

Edges in graph / 2

Advanced Vertex Degrees and Graph Properties Quiz

Think you can infer a graph’s structure just from its degree sequence? This graduate-level quiz challenges your understanding of degree-based reasoning in simple graphs, multigraphs, and directed graphs. You’ll...

Questions: 15 | Attempts: 11 | Last updated: Jan 27, 2026

Sample Question
In a simple undirected graph, the degree of a vertex (v) is:

The number of edges in the graph

The number of neighbours of (v)

The number of loops at (v)

The number of paths starting at (v)

Degrees of Vertices in Graphs Quiz

Are you ready to explore how edges reveal the structure of a graph? In this quiz, you’ll learn how to calculate the degree of a vertex, interpret loops and multiple edges, and apply the handshake lemma to real graph...

Questions: 15 | Attempts: 11 | Last updated: Jan 27, 2026

Sample Question
In an undirected graph, the degree of a vertex is:

The number of vertices in the graph

The number of edges incident with the vertex

The number of paths starting at the vertex

The length of the longest path through the vertex