Clique (graph Theory) - Computer Science

Computer Science

In computer science, the clique problem is the computational problem of finding a maximum clique, or all cliques, in a given graph. It is NP-complete, one of Karp's 21 NP-complete problems (Karp 1972). It is also fixed-parameter intractable, and hard to approximate. Nevertheless, many algorithms for computing cliques have been developed, either running in exponential time (such as the Bron–Kerbosch algorithm) or specialized to graph families such as planar graphs or perfect graphs for which the problem can be solved in polynomial time.

Read more about this topic:  Clique (graph Theory)

Famous quotes containing the words computer and/or science:

    The computer takes up where psychoanalysis left off. It takes the ideas of a decentered self and makes it more concrete by modeling mind as a multiprocessing machine.
    Sherry Turkle (b. 1948)

    The whole of science is nothing more than a refinement of everyday thinking.
    Albert Einstein (1879–1955)