Matrix Representation and Graph Isomorphism Quiz

What is a graph?

• A type of computer software used for editing photos

• A type of bar chart used to represent data visually

• A data structure that consists of a set of nodes and a set of edges.

• A musical notation with a series of horizontal lines and vertical spaces

Can you explain what a matrix representation of a graph is?

• A way to represent a graph using a pie chart

• A method to represent a graph using a bar graph

• A way to represent a graph using a matrix

• A technique to represent a graph using a scatter plot

What is graph isomorphism?

• Graph isomorphism is the process of converting a graph into a matrix

• Graph isomorphism is the study of the shapes of graphs

• Two graphs are isomorphic if they have different number of vertices

• Two graphs are isomorphic if there is a one-to-one correspondence between their vertices such that the adjacency structure is preserved.

How many vertices are there in a graph with 5 edges?

• 3

• 8

• 10

• 6

True or False: A graph with 5 vertices and 4 edges is possible.

• True but only in special cases

• True

• False

• Maybe

What is the adjacency matrix of a graph?

• A circle matrix used to represent a finite graph

• A triangular matrix used to represent a finite graph

• A rectangular matrix used to represent a finite graph

• A square matrix used to represent a finite graph

What does it mean for two graphs to be isomorphic?

• Two graphs are isomorphic if there is a one-to-one correspondence between their vertices such that the adjacency structure is preserved.

• Two graphs are isomorphic if they have different colors

• Two graphs are isomorphic if they have different number of edges

• Two graphs are isomorphic if they have different number of vertices

How can you determine if two graphs are isomorphic?

• By checking if there exists a one-to-one correspondence between their vertices such that the adjacency relationship is preserved.

• By counting the number of edges in each graph

• By checking if the graphs have the same color for each vertex

• By comparing the total number of vertices in each graph

What is the difference between a directed graph and an undirected graph?

• The nodes in a directed graph are arranged in a circular pattern, while the nodes in an undirected graph are arranged in a straight line.

• The edges in a directed graph have a direction, while the edges in an undirected graph do not have a direction.

• A directed graph can only have a finite number of nodes, while an undirected graph can have an infinite number of nodes.

• In a directed graph, the nodes are connected by straight lines, while in an undirected graph, the nodes are connected by curved lines.

Can you give an example of a real-life situation where graph representation is used?

• Astronomy

• Basketball plays

• Cooking recipes

• Social networks

Tags

CCSS.8.EE.B.5