Mathematics in the Modern World: 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. Tokyo Seoul Beijing Hong Kong 845 Bangkok 1275 --- 470 880 Tokyo Hong Kong Bangkok 845 --- 320 515 340 1275 320 --- 520 365 Seoul 470 515 520 225 Beijing 880 340 365 225 ---

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