PROBLEM SET (Mathematics of Graphs) 1. Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares (in Us Dollars) available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the greedy algorithm to find a low-cost route. Hong Kong Bangkok 1275 320 Tokyo Beijing Seoul 470 515 520 Tokyo 845 880 Hong Kong 845 1275 340 320 Bangkok Seoul Beijing 365 470 515 340 520 225 880 365 225 2. Use edge-picking algorithm to find a low-cost route for the traveler in item 1.

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ANSWER NUMBER 2 ONLY BASING IT TO QUESTION 1

PROBLEM SET
(Mathematics of Graphs)
1. Nicole wants to tour Asia. She will start and end her journey in Tokyo
and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares (in US
Dollars) available to her between cities are given in the table. Draw a
weighted graph that represents the travel costs between cities and use
the greedy algorithm to find a low-cost route.
Hong Kong Bangkok
Beijing
880
Tokyo
Seoul
Tokyo
Hong Kong
Bangkok
Seoul
Beijing
845
1275
470
----
845
320
515
340
1275
320
520
365
470
515
520
225
---
880
340
365
225
---
2. Use edge-picking algorithm to find a low-cost route for the traveler in
item 1.
Transcribed Image Text:PROBLEM SET (Mathematics of Graphs) 1. Nicole wants to tour Asia. She will start and end her journey in Tokyo and visit Hong Kong, Bangkok, Seoul, and Beijing. The airfares (in US Dollars) available to her between cities are given in the table. Draw a weighted graph that represents the travel costs between cities and use the greedy algorithm to find a low-cost route. Hong Kong Bangkok Beijing 880 Tokyo Seoul Tokyo Hong Kong Bangkok Seoul Beijing 845 1275 470 ---- 845 320 515 340 1275 320 520 365 470 515 520 225 --- 880 340 365 225 --- 2. Use edge-picking algorithm to find a low-cost route for the traveler in item 1.
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