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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 2EE

Textbook Problem

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A one-way road intersects a two-way road in a four-way intersection. Each direction has turn lanes and left-turn lights. Represent the various traffic routes with a graph and use graph coloring to determine the minimum number of stages required for a light cycle. Then refine your design to allow as much traffic as possible to proceed at each stage of the cycle.

To determine

The minimum number of stages required for a light cycle using graph colouring.

**Given information:**

A one-way road intersects a two-way road in a four-way intersection. Each direction has turn lanes and left-turn lights.

By the given information, the possible routes are given in the following diagram.

The possible collisions in each path are:

- A: D, E, G
- B: D, E, F, G
- C: D
- D: A, B, C
- E: A, G, B, F
- F: E, B
- G: A, B, E

In the graph, each vertex represents one of the twelve possible traffic paths and the edge between every two vertices represents the corresponding paths that would allow the vehicles to collide...

Mathematical Excursions (MindTap Course List)

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