In number theory and set theory, the minimum overlap problem is a problem proposed by Hungarian mathematician Paul Erdős in 1955.[1][2]
^Guy, Richard K. (2004). "C17". In Bencsáth, Katalin A.; Halmos, Paul R. (eds.). Unsolved Problems in Number Theory. New York: Springer Science+Business Media Inc. pp. 199–200. ISBN 0-387-20860-7.
^Finch, Steven (2 July 2004). "Erdös' minimum overlap problem" (PDF). Archived from the original (PDF) on 5 April 2015. Retrieved 15 December 2013.
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In number theory and set theory, the minimumoverlapproblem is a problem proposed by Hungarian mathematician Paul Erdős in 1955. Let A = {ai} and B =...
every region of the container, where objects are allowed to overlap. In a bin packing problem, people are given: A container, usually a two- or three-dimensional...
related problems which are concerned with some other criterion, such as the following: The minimum pattern count problem: to find a minimum-pattern-count...
the edge cover problem. Covering problems allow the covering primitives to overlap; the process of covering something with non-overlapping primitives is...
a range minimum query (RMQ) solves the problem of finding the minimal value in a sub-array of an array of comparable objects. Range minimum queries have...
solutions to decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines...
Conversely, for any vertex v {\displaystyle v} of any minimum spanning tree, one can construct non-overlapping unit spheres centered at v {\displaystyle v} and...
empty and an "overlapping rectangles" test will produce a high number of false positives. One system that attempts to deal with this problem, particularly...
given large polygon, such that no two small rectangles overlap. Several variants of this problem have been studied. In this variant, there are multiple...
the minimal covering to not overlap). Hence, the minimum covering problem is identical to the polygon triangulation problem, which can be solved in time...
is an example of a Kakeya needle set. The Kakeya needle problem asks whether there is a minimum area of a region D {\displaystyle D} in the plane, in which...
feasible elements), it is also the global minimum, but a nonconvex problem may have more than one local minimum not all of which need be global minima....
problem. If the solution to any problem can be formulated recursively using the solution to its sub-problems, and if its sub-problems are overlapping...
intervals. Specifically, it allows one to efficiently find all intervals that overlap with any given interval or point. It is often used for windowing queries...
widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight of the minimum-weight edge...
different minimum boxes for n points is O ( n 2 + ϵ ) . {\displaystyle O(n^{2+\epsilon }).} The existence of a local data structure for this problem is an...
employee relations have seen the introduction of statutory agreements for minimum employee leave from work—that is the amount of entitlement to paid vacation...
FIDE Master (FM). Requires a minimum rating of 2300. No norms are required. Candidate Master (CM). Requires a minimum rating of 2200. No norms are required...
operations, such as by using simple regions, having simpler ways to test for overlap. A bounding volume for a set of objects is also a bounding volume for the...
induction that this is optimal at each step. Otherwise, provided the problem exhibits overlapping subproblems as well, divide-and-conquer methods or dynamic programming...
but the four reads can be assembled into the original sequence using the overlap of their ends to align and order them. In reality, this process uses enormous...
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