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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
What kind of graph (from Table 1) can be used to model
a highway system between major cities where
a) there is an edge between the vertices representing
cities if there is an interstate highway between them?
b) there is an edge between the vertices representing
cities for each interstate highway between them?
c) there is an edge between the vertices representing
cities for each interstate highway between them, and
there is a loop at the vertex representing a city if there
is an interstate highway that circles this city?
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f886b7b-5937-49ca-bdee-9ac480ac697e%2F430ef2ef-d3b8-420d-8906-46a87ac16e0e%2Fq3jy66n.png&w=3840&q=75)
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
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