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Understanding Graphs and Graph Models

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Questions and Answers

What do graphs consist of?

Points and curves
Vertices and edges (correct)
Lines and circles
Curves and squares

Which of the following is a correct definition of a graph?

A set of squares connected by curved lines
A set of circles connected by straight lines
A set of points connected by angular lines
A nonempty set of vertices and a set of edges connecting these vertices (correct)

What is the role of edges in a graph?

To represent nodes
To connect vertices (correct)
To color vertices
To enclose vertices

In a graph, what are the endpoints of an edge called?

Vertices (C) Signup and view all the answers

How are graphs represented when drawn?

Using points for vertices and line segments for edges (C) Signup and view all the answers

What is the key point to remember about drawing graphs?

The way a graph is drawn is arbitrary as long as correct connections are depicted (A) Signup and view all the answers

What is a graph called when each edge connects two different vertices and no two edges connect the same pair of vertices?

Simple graph (D) Signup and view all the answers

In a simple graph, how is each edge associated?

To an unordered pair of vertices (D) Signup and view all the answers

What type of graph allows for multiple edges connecting the same pair of vertices?

Multigraph (B) Signup and view all the answers

How are edges of multiplicity m represented in a multigraph?

As m different copies of an edge (C) Signup and view all the answers

What feature distinguishes a multigraph from a simple graph?

Multiple edges connect the same pair of vertices (D) Signup and view all the answers

Which type of graph allows for a communications link to connect a data center to itself?

Multigraph (D) Signup and view all the answers