Graph Theory for Representing Traffic Control
Among the many applications of Graph Theory in the real world is its neat representation of traffic problems. Many urban centers face challenges in creating accurate traffic models that can help forecast and manage traffic for efficiency in transportation flows. Connected graphs are used to represent flow states (of traffic) and their interaction with intersections. Once a graph is created to map out a given area’s intersections, a combination of edge and vertex connectivity values are used to determine optimal locations for sensors that can be placed at traffic stops in order to ensure a smooth, continuous flow.
This method of traffic design is useful as it incorporates the elements of transportation and communication networks into informing design decisions. The use of connectivity values is vital due to its necessity in finding the maximum rate of flow that is possible from one node to another in the traffic
network. This resource relates to our discussion on Graph Theory as it further outlines a real world application and outlines the relevance of considering mathematical theory in design and engineering.
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