a) an edge between vertices representing cities that have a flight between them (in either direction). b) an edge between vertices representing cities for each flight that operates between them (in either direction). c) an edge between vertices representing cities for each flight that operates between them (in either direction), plus a loop for a special sightseeing trip that takes off and lands in Miami. d) an edge from a vertex representing a city where a flight starts to the vertex representing the city where it ends. e) an edge for each flight from a vertex representing a city where the flight begins to the vertex representing the city where the flight ends.

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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Draw graph models, stating the type of graph (from Table 1) used, to represent airline routes where every day there are four flights from Boston to Newark, two flights from Newark to Boston, three flights from Newark to Miami, two flights from Miami to Newark, one flight from Newark to Detroit, two flights from Detroit to Newark, three flights from Newark to Washington, two flights from Washington to Newark, and one flight from Washington to Miami, with
a) an edge between vertices representing cities that have a flight between them (in either direction).

b) an edge between vertices representing cities for each flight that operates between them (in either direction).


c) an edge between vertices representing cities for each flight that operates between them (in either direction), plus a loop for a special sightseeing trip that takes off and lands in Miami.


d) an edge from a vertex representing a city where a flight starts to the vertex representing the city where it ends.


e) an edge for each flight from a vertex representing a city where the flight begins to the vertex representing the city where the flight ends.

 

 

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