Numerical solutions to the aforementioned system, which need rather hard computations, cannot provide results which are suitable to physical interpretations.
As the reader can verify it, analog of Theorem 4.6 for I p has length expression and makes appear hard computations.
We improve the complexity of applying the BP algorithm, by alleviating the need for the NP-hard computation which is required to find the independent sets of links of the network graph demanded by the MWM.
This fact constitutes an important contribution of the BPeMRF scheme in the fields of CRNs and dynamic social networks where the dynamic network topology requires the repetitive NP-hard computation of the maximal independent sets of the underlying physical layer graph for the solution of the MWM.
Continuous monitoring of a multi-loop refinery section finds hard constraints in heavy computation load and excessive traffic on the communication bus.
Additionally, the higher the number of features, the harder the computation of the actual neighbors and the higher the variance for the newly created instances [71].
Unfortunately, this CDF is hard to compute, so we ease the computation using [[39], Lemma 3], which was also used in [[11], Appendix III].
Since TSP is an NP-hard problem, the computation of the optimal gene order is NP-hard and only the approximation of the optimal gene order can be calculated.
Since the problem of solving the maximal independent edge set problem is generally NP-hard, and the computation time is essential for many users of the network biology platforms, we content ourselves here on non-optimal solutions.
