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The numerical 3-d matching problem is problem [SP16] of Garey and Johnson. [1] They claim it is NP-complete, and refer to, [2] but the claim is not proved at that source. The NP-hardness of the related problem 3-partition is done in [1] by a reduction from 3-dimensional matching via 4-partition. To prove NP-completeness of the numerical 3 ...
3-dimensional matchings. (a) Input T. (b)–(c) Solutions. In the mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs, which consist of hyperedges each of which contains 3 vertices (instead of edges containing 2 vertices in a usual graph).
In mathematics, especially abstract algebra, loop theory and quasigroup theory are active research areas with many open problems.As in other areas of mathematics, such problems are often made public at professional conferences and meetings.
The seven problems were officially announced by John Tate and Michael Atiyah during a ceremony held on May 24, 2000 (at the amphithéâtre Marguerite de Navarre) in the Collège de France in Paris. [3] Grigori Perelman, who had begun work on the Poincaré conjecture in the 1990s, released his proof in 2002 and 2003. His refusal of the Clay ...
An example is the sequence of primes (3, 7, 11), which is given by = + for . According to the Green–Tao theorem, there exist arbitrarily long arithmetic progressions in the sequence of primes. Sometimes the phrase may also be used about primes which belong to an arithmetic progression which also contains composite numbers.
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The company experienced a system issue that affected multiple products including account withdrawals, peer-to-peer payment service Venmo, online checkout and crypto. PayPal said the issue, which ...
The 100 prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers in one of 100 drawers in order to survive. The rules state that each prisoner may open only 50 drawers and cannot communicate with other prisoners.