In graph theory, a branch of mathematics, the Chinese postman problem (CPP), postman tour or route inspection problem is to find a shortest closed path or circuit that visits every edge of a (connected) undirected graph. When the graph has an Eulerian circuit (a closed walk that covers every edge once), that circuit is an optimal solution.
Other articles related to "route inspection problem, problem":
... A few variants of the Chinese Postman Problem have been studied and shown to be NP-complete ... Min Chinese postman problem for mixed graphs for this problem, some of the edges may be directed and can therefore only be visited from one direction ... When the problem is minimal traversal of a digraph it is known as the "New York Street Sweeper problem." Min k-Chinese postman problem find k cycles all starting at a designated location such that each ...
Famous quotes containing the words problem, route and/or inspection:
“It is part of the educators responsibility to see equally to two things: First, that the problem grows out of the conditions of the experience being had in the present, and that it is within the range of the capacity of students; and, secondly, that it is such that it arouses in the learner an active quest for information and for production of new ideas. The new facts and new ideas thus obtained become the ground for further experiences in which new problems are presented.”
—John Dewey (18591952)
“The route through childhood is shaped by many forces, and it differs for each of us. Our biological inheritance, the temperament with which we are born, the care we receive, our family relationships, the place where we grow up, the schools we attend, the culture in which we participate, and the historical period in which we liveall these affect the paths we take through childhood and condition the remainder of our lives.”
—Robert H. Wozniak (20th century)
“Hermann Goering, Joachim von Ribbentrop, Albert Speer, Walther Frank, Julius Streicher and Robert Ley did pass under my inspection and interrogation in 1945 but they only proved that National Socialism was a gangster interlude at a rather low order of mental capacity and with a surprisingly high incidence of alcoholism.”
—John Kenneth Galbraith (b. 1908)