Graph Theory

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| By Thames
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Thames
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Quizzes Created: 7153 | Total Attempts: 9,523,263
| Questions: 10 | Updated: Oct 13, 2025
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1) A graph with no edges is called a __________.

Explanation

An empty graph has vertices but no edges.

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About This Quiz
Graph Theory - Quiz

Networks are everywhere—from social media to road maps. In this quiz, you’ll explore the basics of graph theory, learning how vertices and edges form structures that model real-world connections. Take this quiz to start navigating the world of networks.

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2) A graph where every pair of vertices is connected by exactly one edge is called a __________.

Explanation

A complete graph has all possible edges between distinct vertices.

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3) A graph with all vertices having the same degree is called a __________ graph.

Explanation

In a regular graph, each vertex has the same number of incident edges.

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4) A graph with no cycles is called a __________.

Explanation

Trees are connected graphs without cycles.

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5) A graph that can be drawn without any edges crossing is called a __________ graph.

Explanation

Planar graphs can be embedded in a plane without overlapping edges.

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6) A graph whose edges have directions is called a __________ graph.

Explanation

In directed graphs, each edge has an orientation from one vertex to another.

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7) A graph where vertices can be divided into two disjoint sets such that every edge connects a vertex in one set to a vertex in the other is called a __________ graph.

Explanation

In bipartite graphs, no edges connect vertices within the same set.

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8) A graph with exactly one cycle is called a __________ graph.

Explanation

Unicyclic graphs contain exactly one cycle, with the rest forming a tree structure.

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9) A graph where multiple edges between the same pair of vertices are allowed is called a __________.

Explanation

Multigraphs allow parallel edges but do not necessarily include loops.

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10) A graph with loops allowed (edges from a vertex to itself) is called a __________.

Explanation

Pseudographs allow both loops and multiple edges.

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A graph with no edges is called a __________.
A graph where every pair of vertices is connected by exactly one edge...
A graph with all vertices having the same degree is called a...
A graph with no cycles is called a __________.
A graph that can be drawn without any edges crossing is called a...
A graph whose edges have directions is called a __________ graph.
A graph where vertices can be divided into two disjoint sets such that...
A graph with exactly one cycle is called a __________ graph.
A graph where multiple edges between the same pair of vertices are...
A graph with loops allowed (edges from a vertex to itself) is called a...
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