Sentence examples for prove that the problem from inspiring English sources

We then prove that the problem is NP-hard.

We give two equivalent formulations of the problem and prove that the problem is NP-complete.

Next, we prove that the problem of obtaining security labels from DIFC assertions is NP-complete.

For symmetric directed networks, we prove that the problem is APX-hard.

We first provide theoretical analysis and prove that the problem of finding the optimal transmission topology is NP-hard.

We prove that the problem is NP-hard, even in simple networks like complete graphs and trees.

We formalize the controller selection problem as an optimization problem, and prove that the problem is NP-Hard.

We prove that the problem is strongly NP-hard, and we present an exact approach based on an MILP formulation.

We formally define the problem of comparing sets of roles, and prove that the problem is NP-complete.

Then, we formalize the FRR-based efficientficient routing problem and prove that the problem is NP-hard.

We prove that the problem is NP-hard and propose exhaustive algorithms and three heuristic algorithms: the Pair Merging Algorithm, the Directed Search Algorithm and the Clustering Algorithm.