a TABLE 1 Graph Terminology. Type Multiple Edges Allowed? Loops Allowed? Edges Simple graph Multigraph Pseudograph Simple directed graph Directed multigraph Mixed graph No Yes Yes No Yes Yes No Undirected Undirected Undirected Directed Directed Directed and undirected No Yes No Yes Yes

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
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Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and whether it has one or more loops. Use your answers todetermine the type of graph in Table 1 this graph is.

a
Transcribed Image Text:a
TABLE 1 Graph Terminology.
Type
Multiple Edges Allowed?
Loops Allowed?
Edges
Simple graph
Multigraph
Pseudograph
Simple directed graph
Directed multigraph
Mixed graph
No
Yes
Yes
No
Yes
Yes
No
Undirected
Undirected
Undirected
Directed
Directed
Directed and undirected
No
Yes
No
Yes
Yes
Transcribed Image Text:TABLE 1 Graph Terminology. Type Multiple Edges Allowed? Loops Allowed? Edges Simple graph Multigraph Pseudograph Simple directed graph Directed multigraph Mixed graph No Yes Yes No Yes Yes No Undirected Undirected Undirected Directed Directed Directed and undirected No Yes No Yes Yes
Expert Solution
Step 1

We know that , 

When a graph has an ordered pair of vertices it is called a directed graph. The edges of the graph represent a specific direction from one vertex to another.

When a graph has an unordered pair of vertices it is an undirected graph. In other words , there is no specific direction to represent the edges.

Also in a graph , a loop is an edge that connects a vertex to itself. Multiple edges are two or more edges that are incident to the same two vertices.

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