Applications of Weighted Graphs (Aufmann) Route Planning: Brian needs to visit the pet store, the shopping mall, the local farmers market and the pharmacy. His estimated driving times (in minutes) between the locations are given the table below. Draw the weighted graph associated with the given information in the table, then use the greedy algorithm and the edge- picking algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. Home Pet store Pharmacy Shopping mall Farmers market Home 18 27 15 8 Pet store 18 24 22 10 Shopping mall 27 20 24 32 Farmers 15 22 20 22 market Pharmacy 8 10 32 22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Based on the given information, create a weighted graph. Draw the Hamiltonian circuit you will find using both Greedy and Edge picking algorithms.

Applications of Weighted Graphs
(Aufmann) Route Planning: Brian needs to visit the pet store, the shopping mall, the
local farmers market and the pharmacy. His estimated driving times (in minutes)
between the locations are given the table below. Draw the weighted graph associated
with the given information in the table, then use the greedy algorithm and the edge-
picking algorithm to find two possible routes, starting and ending at home, that will
help Brian minimize his total travel time.
Home
Shopping
mall
Pet store
Farmers
Pharmacy
market
Home
18
27
15
8.
Pet store
18
24
22
10
Shopping
mall
27
24
20
32
Farmers
15
22
20
22
market
Pharmacy
8
10
32
22
Transcribed Image Text:Applications of Weighted Graphs (Aufmann) Route Planning: Brian needs to visit the pet store, the shopping mall, the local farmers market and the pharmacy. His estimated driving times (in minutes) between the locations are given the table below. Draw the weighted graph associated with the given information in the table, then use the greedy algorithm and the edge- picking algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. Home Shopping mall Pet store Farmers Pharmacy market Home 18 27 15 8. Pet store 18 24 22 10 Shopping mall 27 24 20 32 Farmers 15 22 20 22 market Pharmacy 8 10 32 22
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