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Most obviously, the solutions to the maximum independent set problem, the maximum clique problem, and the minimum independent dominating problem must all be maximal independent sets or maximal cliques, and can be found by an algorithm that lists all maximal independent sets or maximal cliques and retains the ones with the largest or smallest size.
Maximum subarray problems arise in many fields, such as genomic sequence analysis and computer vision.. Genomic sequence analysis employs maximum subarray algorithms to identify important biological segments of protein sequences that have unusual properties, by assigning scores to points within the sequence that are positive when a motif to be recognized is present, and negative when it is not ...
Global optimization is distinguished from local optimization by its focus on finding the minimum or maximum over the given set, as opposed to finding local minima or maxima. Finding an arbitrary local minimum is relatively straightforward by using classical local optimization methods. Finding the global minimum of a function is far more ...
Assign N(xi) equal to the number shapes in J(xi). Choose any xj such that N(xj) is a maximum, i.e. a shape that touches as many shapes as any other. Of all of the shapes xi that intersect xj (including xj itself), select the shape x that touches the fewest other shapes, i.e. x such that. N(x) is a minimum; Add x to S.
A simple and inefficient way to see where one string occurs inside another is to check at each index, one by one. First, we see if there is a copy of the needle starting at the first character of the haystack; if not, we look to see if there's a copy of the needle starting at the second character of the haystack, and so forth.
The principle of least effort is a broad theory that covers diverse fields from evolutionary biology to webpage design.It postulates that animals, people, and even well-designed machines will naturally choose the path of least resistance or "effort."