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Graph Theory Quiz

Authored by Mr Shorey

Computers

12th Grade

Graph Theory Quiz
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66 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a tree in graph theory?

A connected, undirected graph with no cycles

A graph with only one node

A graph with cycles

A disconnected graph

Answer explanation

A tree in graph theory is defined as a connected, undirected graph with no cycles. This means it has a single connected component and does not loop back on itself, making the first choice the correct answer.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a binary tree?

A tree with only one child per node

A rooted tree in which each node has at most two children

A tree with cycles

A tree with no children

Answer explanation

A binary tree is defined as a rooted tree where each node can have at most two children, making the correct choice the second option. The other options describe different tree structures or characteristics that do not apply.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following should you be familiar with regarding rooted trees?

Typical uses for rooted trees

How to draw cycles in trees

How to disconnect a tree

How to make a tree with three children per node

Answer explanation

Rooted trees are commonly used in data structures like binary trees, file systems, and organizational hierarchies. Understanding their typical uses is essential, while drawing cycles and disconnecting trees are not relevant to their properties.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a tree in computer science?

A common abstract data type (ADT)

A type of animal

A kind of fruit

A programming language

Answer explanation

In computer science, a tree is a common abstract data type (ADT) used to represent hierarchical structures. It consists of nodes connected by edges, making it distinct from other data types like arrays or lists.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one way a tree data structure is similar to a tree in nature?

It has a root, branches, and leaves

It grows in the ground

It needs water to survive

It can move around

Answer explanation

A tree data structure is similar to a natural tree because it has a root, branches, and leaves. This structural analogy helps in understanding how data is organized hierarchically, just like a tree in nature.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the main difference between a tree in computer science and a tree in nature?

A tree in computer science has its root at the top

A tree in computer science has leaves at the bottom

A tree in nature has its root at the top

A tree in computer science has no branches

Answer explanation

In computer science, a tree structure is typically visualized with the root at the top and branches extending downward, unlike a natural tree where the root is underground. Thus, the correct choice highlights this key difference.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a tree in the context of data structures?

A connected, undirected graph with no cycles

A disconnected, directed graph with cycles

A connected, directed graph with cycles

A disconnected, undirected graph with cycles

Answer explanation

A tree is defined as a connected, undirected graph with no cycles. This means it has a hierarchical structure where each node is connected without forming any loops, making the correct choice the first option.

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