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. TABLE 1 Graph Terminology.TypeMultiple Edges Allowed?Loops Allowed?EdgesSimple graphMultigraphPseudographSimple directed graphDirected multigraphMixed graphNoYesYesNoYesYesNoUndirectedUndirectedUndirectedDirectedDirectedDirected and undirectedNoYesNoYesYes d'

Answered: TABLE 1 Graph Terminology. Type…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

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

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A graph is said to be directed graph if it's edges has direction. If edges has no direction then the graph is said to be undirected graph. Directed graph usually indicated by an arrow on the edge.

Also , If an edge in graph starts an end on same vertex then it has a loop. Two or more edges that are incident to the same vertices then graph have multiple edges.

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