842 b Graph theory can be used to determine efficient routes to make deliveries. Why This Is Important Graph theory is an important branch of mathematics that is used to represent and determine solutions to a variety of problems that affect businesses, governments, and other organizations. Anytime a problem involves making connections between various locations, graph theory can be used to help determine an efficient solution to the problem. For example, graph theory can be used to determine the most efficient route for an Amazon Prime driver to make multiple deliveries in the same city. Graph theory can be used by ride-sharing services, such as Uber and Lyft, to place its drivers in the optimal locations to maximize revenues. Graph theory can also be used by individuals when determining the quickest or least-expensive route when running errands daily. Sections 13. 1 Graphs, Paths, and Circuits 13. 2 Euler Paths and Euler Circuits 13. 3 Hamilton Paths and Hamilton Circuits 13. 4 Trees Graph Theory 13 Maksim Safaniuk/Shutterstock
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