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A longest path between two given vertices s and t in a weighted graph G is the same thing as a shortest path in a graph −G derived from G by changing every weight to its negation. Therefore, if shortest paths can be found in −G, then longest paths can also be found in G. [4]
naraview – A game which you need to find a connection between two articles in Wikipedia. Six Degrees – The new version of the Facebook application originally built by Karl Bunyan. Facebook revised policy on caching data Archived 2014-12-09 at the Wayback Machine – Facebook's revised policy removing the 24-hour limit on caching of user data.
The items separated by the longest minimal chains in the encyclopedia (especially where these are more than four links long). The shortest known chain between the two items should be specified. Generalisation over time, where possible, seems to produce the shortest chains. Failing this, try generalisation over space to reduce chain length.
Milgram's experiment developed out of a desire to learn more about the probability that two randomly selected people would know each other. [6] This is one way of looking at the small world problem. An alternative view of the problem is to imagine the population as a social network and attempt to find the average path length between any two ...
All these models had one thing in common: they all predicted very short average path length. [1] The average path length depends on the system size but does not change drastically with it. Small world network theory predicts that the average path length changes proportionally to log n, where n is the number of nodes in the network.
Consider finding a shortest path for traveling between two cities by car, as illustrated in Figure 1. Such an example is likely to exhibit optimal substructure. That is, if the shortest route from Seattle to Los Angeles passes through Portland and then Sacramento, then the shortest route from Portland to Los Angeles must pass through Sacramento too.
Shortest path (A, C, E, D, F), blue, between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. [1]
The essay is to consist of an introduction three or more sentences long and containing a thesis statement, a conclusion incorporating all the writer's commentary and bringing the essay to a close, and two or three body paragraphs; Schaffer herself preferred to teach a four-paragraph essay rather than the traditional five-paragraph essay. [1]
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