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The linear vibration is also discussed as a subset problem.
The latter notion arises from the invariant subset problem in analysis.
As discussed above, to obtain an optimal galled network we must solve a number of instances of two problems that are both computationally hard, the Maximum Compatible Subset problem and the MAP.
Our code for solving the Maximum Compatible Subset problem required < 10 min. to solve this component, whereas the code for solving the Minimum Attachment problem was unable to find a guaranteed minimum solution within an acceptable time.
If a solution to the Maximum Compatible Subset problem has size k for a given set of incompatibility statements H, then the seed growing will find it by considering at most 3 k +1 seeds, and the algorithm has a worst-case time complexity of O k| H|3 k ).
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The thermal buckling and free vibration are also discussed as subset problems.
Free vibration and static buckling are also discussed as subset problems.
Some subset problems such as buckling, free vibration and static bending are also discussed and the solutions are given in closed form.
For example, the Subset Sum problem mentioned above is an NP-complete problem.
In the feature subset selection problem, a learning algorithm is faced with the problem of selecting a relevant subset of features upon which to focus its attention, while ignoring the rest.
The proof of Theorem 1 is by reduction of the SUBSET SUM problem, which is a pseudo-polynomial NP-complete problem [ 14].
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