A company representative lives in Louisville, Kentucky, and needs to visit offices in five different Indiana cities over the next few days. The representative wants to drive between cities and return to Louisville at end of the trip. The estimated driving times, in hours, between cities are given in the table below. Represent the driving times by a weighted graph. Use the Greedy Algorithm to design an efficient route for the representative to follow.

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10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company representative lives in Louisville, Kentucky, and needs to visit offices in five different Indiana cities over the next few days. The representative wants to drive between cities and return to Louisville at the
end of the trip. The estimated driving times, in hours, between cities are given in the table below. Represent the driving times by a weighted graph. Use the Greedy Algorithm to design an efficient route for the
representative to follow.
Fort Wayne
Lafayette
Indianapolis
Bloomingtone
Louisville
Evansville
Louisville
Bloomington
Fort Wayne
Indianapolis
Lafayette
Evansville
Louisville
3.6
6.4
3.2
4.9
3.1
Bloomington
3.6
4.5
1.3
2.4
3.4
Fort Wayne
6.4
4.5
3.3
--
3.0
8.0
Indianapolis
3.2
1.3
3.3
1.5
4.6
Lafayette
4.9
2.4
3.0
1.5
5.0
--
Evansville
3.1
3.4
8.0
4.6
5.0
O Louisville-Bloomington-Indianapolis-Lafayette-Fort Wayne-Evansville-Louisville
O Louisville-Indianapolis-Lafayette-Fort Wayne-Evansville-Bloomington-Louisville
O Louisville-Evansville-Bloomington-Indianapolis-Fort Wayne-Lafayette-Louisville
O Louisville-Evansville-Bloomington-Indianapolis-Lafayette-Fort Wayne-Louisville
O Louisville-Bloomington-Indianapolis-Lafayette-Evansville-Fort Wayne-Louisville
Transcribed Image Text:A company representative lives in Louisville, Kentucky, and needs to visit offices in five different Indiana cities over the next few days. The representative wants to drive between cities and return to Louisville at the end of the trip. The estimated driving times, in hours, between cities are given in the table below. Represent the driving times by a weighted graph. Use the Greedy Algorithm to design an efficient route for the representative to follow. Fort Wayne Lafayette Indianapolis Bloomingtone Louisville Evansville Louisville Bloomington Fort Wayne Indianapolis Lafayette Evansville Louisville 3.6 6.4 3.2 4.9 3.1 Bloomington 3.6 4.5 1.3 2.4 3.4 Fort Wayne 6.4 4.5 3.3 -- 3.0 8.0 Indianapolis 3.2 1.3 3.3 1.5 4.6 Lafayette 4.9 2.4 3.0 1.5 5.0 -- Evansville 3.1 3.4 8.0 4.6 5.0 O Louisville-Bloomington-Indianapolis-Lafayette-Fort Wayne-Evansville-Louisville O Louisville-Indianapolis-Lafayette-Fort Wayne-Evansville-Bloomington-Louisville O Louisville-Evansville-Bloomington-Indianapolis-Fort Wayne-Lafayette-Louisville O Louisville-Evansville-Bloomington-Indianapolis-Lafayette-Fort Wayne-Louisville O Louisville-Bloomington-Indianapolis-Lafayette-Evansville-Fort Wayne-Louisville
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