Understanding Graphs and Graph Models

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12 Questions

What do graphs consist of?

Vertices and edges

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

A nonempty set of vertices and a set of edges connecting these vertices

What is the role of edges in a graph?

To connect vertices

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

Vertices

How are graphs represented when drawn?

Using points for vertices and line segments for edges

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

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

Simple graph

In a simple graph, how is each edge associated?

To an unordered pair of vertices

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

Multigraph

How are edges of multiplicity m represented in a multigraph?

As m different copies of an edge

What feature distinguishes a multigraph from a simple graph?

Multiple edges connect the same pair of vertices

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

Multigraph

Explore the concept of graphs as discrete structures with vertices and edges, along with different types of graphs based on edge properties. Learn how graph models can be used to solve problems across various disciplines.

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