Graph Theory Concepts

Graph Theory Concepts

12th Grade

17 Qs

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Graph Theory Concepts

Graph Theory Concepts

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Easy

CCSS
4.G.A.1, HSG.CO.A.1

Standards-aligned

Created by

Evan Bell

Used 2+ times

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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

What is the degree of a vertex in a graph?

The number of vertices in the graph

The number of edges connecting to the vertex

The number of loops in the graph

The number of loops connecting to the vertex

2.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Which of the following best describes a loop in a graph?

An edge that connects two different vertices

An edge that connects a vertex to itself

A sequence of vertices and edges

A graph with no isolated vertices

3.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

What is a connected graph?

A graph with at least one isolated vertex

A graph in which all vertices are connected by some sequence of edges

A graph with parallel edges

A graph with a loop

4.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

Which of the following is true for a path in a graph?

It is a walk in which no edge is repeated

It is a trail in which vertices and edges are not repeated

It is a closed trail

It is a sequence of vertices and edges

5.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

What is an Euler Circuit?

An open trail that contains all the edges of a graph exactly once

A closed trail that contains all the edges of a graph exactly once

A sequence of vertices and edges

A graph with no circuits

6.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

What is a tree in graph theory?

A connected graph with no circuits

A graph with parallel edges

A graph with at least one loop

A graph with isolated vertices

7.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

In a digraph, what is unique about the edges?

They have no direction

They have a direction associated with them

They connect a vertex to itself

They are always parallel

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