For some applications, it is important that the associated graphs have no edge w
ID: 2263838 • Letter: F
Question
For some applications, it is important that the associated graphs have no edge whose removal disconnects the graph. In other words, each pair of vertices can be joined by a path even after any single edge is removed. Explain why this property is important in the case when the graph represents electric power transmission lines forming an electrical grid. (The edges represent power lines, and the vertices represent power plants, substations, consumers, and so forth.)It improves the efficiency of the transmission lines. It reduces the cost of transmission. If one transmission line is removed, all parts of the grid can nonetheless receive electrical power. It improves the power output capacity of the transmission lines.How is this property of a graph related to the existence of redundant power lines between points?The power plant has to operate twice as often. The power plant only has to operate half of the time. One line can serve as a back up for another. Power can be transmitted twice as fast.
Explanation / Answer
This property is very important in case of electrical transmission. It ensures non stop supply of power even if one of the lines is damaged or removed due to any number of reasons.
It also serves as a redundant power line that can be either used to supply extra power in case of high load or it may be used to supply uninterrupted power if some other line is damaged or removed.