Sentence examples for minimum weighted vertex from inspiring English sources

The minimum weighted vertex cover (MWVC) problem, an extension of the classical minimum vertex cover (MVC) problem, is an important NP-complete combinatorial optimization problem with a wide range of applications.

We first present results on the complexity of the MWER optimization, and related minimum weighted vertex (SNP) removal (MWVR) problems on the compass graph G C. These results motivate the usage of our heuristics for the diploid and polyploid algorithms.

The optimum solution would be obtained by removing a minimal weighted vertex cover from G q, r.

This algorithm serves as a procedure in designing a PTAS for weighted vertex ranking problem of trees with bounded weight functions.

Our approach is flexible enough and we demonstrate how it can be used to provide a (4,4) bi-criteria algorithm for the Minimum Weighted Bounded Degree version of the SND problem in which we have the standard SND connectivity constraints and, additionally, for every vertex v in the graph we have an upper bound on the sum of the weights of the edges incident to that edge in any feasible solution.

Minimum Weighted Edit-Distance.

A greedy algorithm, called GA, for the weighted vertex feedback set problem is also analyzed and bounds on its performance are given.

The algorithm is based on a reduction to the weighted vertex feedback set problem and a 2-approximation of the latter problem.

Since the weighted vertex cover problem is NP-complete we apply the 2-approximation given by Clarkson [ 24].

As shown previously (Xie and Bourne, 2008), a weighted scoring scheme as used by SOIPPA outperforms a non-weighted vertex matching method as used by most-existing algorithms.

The objective of the Weighted Coloring Problem [7] is, given a vertex-weighted graph (G), to determine the minimum weight of a proper coloring of (G), that is, its weighted chromatic number.