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  2. Longest path problem - Wikipedia

    en.wikipedia.org/wiki/Longest_path_problem

    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]

  3. Six degrees of separation - Wikipedia

    en.wikipedia.org/wiki/Six_degrees_of_separation

    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.

  4. Small-world experiment - Wikipedia

    en.wikipedia.org/wiki/Small-world_experiment

    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 ...

  5. Average path length - Wikipedia

    en.wikipedia.org/wiki/Average_path_length

    Average path length is one of the three most robust measures of network topology, along with its clustering coefficient and its degree distribution.Some examples are: the average number of clicks which will lead you from one website to another, or the number of people you will have to communicate through, on an average, to contact a complete stranger.

  6. Wikipedia:Six degrees of Wikipedia - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Six_degrees_of...

    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.

  7. List of long mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_long_mathematical...

    The classification of the simple quasithin groups by Aschbacher and Smith was 1221 pages long, one of the longest single papers ever written. 2004 Classification of finite simple groups. The proof of this is spread out over hundreds of journal articles which makes it hard to estimate its total length, which is probably around 10000 to 20000 pages.

  8. Levenshtein distance - Wikipedia

    en.wikipedia.org/wiki/Levenshtein_distance

    A more efficient method would never repeat the same distance calculation. For example, the Levenshtein distance of all possible suffixes might be stored in an array , where [] [] is the distance between the last characters of string s and the last characters of string t. The table is easy to construct one row at a time starting with row 0.

  9. Erdős–Szekeres theorem - Wikipedia

    en.wikipedia.org/wiki/Erdős–Szekeres_theorem

    The length of the longest decreasing subsequence is equal to the length of the first column of P. Now, it is not possible to fit (r − 1)(s − 1) + 1 entries in a square box of size (r − 1)(s − 1), so that either the first row is of length at least r or the last row is of length at least s.