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Quadratic programming (NP-hard in some cases, P if convex) Subset sum problem [3]: SP13 Variations on the Traveling salesman problem. The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric.
Two 0–1 integer programs that are equivalent, in that they have the same objective function and the same set of feasible solutions, may have quite different linear programming relaxations: a linear programming relaxation can be viewed geometrically, as a convex polytope that includes all feasible solutions and excludes all other 0–1 vectors ...
Integer programming is NP-complete. In particular, the special case of 0–1 integer linear programming, in which unknowns are binary, and only the restrictions must be satisfied, is one of Karp's 21 NP-complete problems. [1] If some decision variables are not discrete, the problem is known as a mixed-integer programming problem. [2]
A small new study suggests that time-restricted eating could help improve blood sugar control in some people, thus potentially reducing the risk of type 2 diabetes.
The Pistons tied the game with 1.8 seconds left in overtime. Then Spoelstra gifted them a free throw. Erik Spoelstra's timeout blunder brings back bad memories for Jalen Rose [Video]
All of the study participants walked about three miles for four days a week. Those in the fastest group walked about 4.1 miles an hour and exercised for about 45 minutes a day. Women in the slower ...
A problem that belongs to NP can be proven to be NP-complete by finding a single polynomial-time many-one reduction to it from a known NP-complete problem. [6] Polynomial-time many-one reductions have been used to define complete problems for other complexity classes, including the PSPACE -complete languages and EXPTIME -complete languages.
The 2014 World Cup in Brazil has begun. Check HuffPost's World Cup dashboard throughout the tournament for standings, schedules, and detailed summaries of each match.
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