Sentence examples for minimum weight edge from inspiring English sources

This paper considers the edge covering problem under fuzzy environment, and formulates three models which are expected minimum weight edge cover model, α-minimum weight edge cover model, and the most minimum weight edge cover model.

Minimum weight edge covering problem, known as a classic problem in graph theory, is employed in many scientific and engineering applications.

Also, a segmentation S is a division of V into regions such that each region R∈S accords with a connected component in a graph G′ = (V, E′), where E′∈ E. The differences between the two regions R 1, R 2 ⊂ V can be obtained by the minimum weight edge linking the two regions.

This algorithm works by attaching a new edge to a single growing tree at each step: start with any vertex (arbitrary one) as a single-vertex tree; then add V-1 edges to it, always taking next minimum-weight edge that connects a vertex on the tree to a vertex not yet on the tree.

Given a graph G= V,E) with weights on its edges and a set of specified nodes S⊆V, the Steiner 2-edge connected subgraph problem is to find a minimum weight 2-edge connected subgraph of G, spanning S.

More specifically, the proposed method regards the data association among multiple objects as a minimum weight bipartite graph edge, which is defined as a subset of edges such that each vertex is incident on at least one edge and the sum of the weights in the subset of edges is minimum, given an edge weighted graph.

The minimum spanning pseudoforest problem involves finding a spanning pseudoforest of minimum weight in a larger edge-weighted graph G. Due to the matroid structure of pseudoforests, minimum-weight maximal pseudoforests may be found by greedy algorithms similar to those for the minimum spanning tree problem.