weighted graph उदाहरण वाक्य

Recent developments have added weighted connections to create a weighted graph so that causal analysis or Causality is possible for the represented value chains.
The reduction takes as input an instance of the Steiner tree problem : a weighted graph, with a subset of its vertices selected as terminals.
The stretch factor is important in the theory of geometric spanners, weighted graphs that approximate the Euclidean distances between a set of points in the Euclidean plane.
For example, a minimum spanning tree of a weighted graph may be obtained using Kruskal's algorithm, which is a greedy algorithm for the cycle matroid.
Best-first search algorithms, like the A * search algorithm, find the shortest path between two nodes of a weighted graph, trying out the most promising routes first.

:: Updating the previous comment . . . If you can represent all options as a weighted graph, you can use Dijkstra's algorithm to quickly find an optimal solution.
Various generalizations of line graphs have also been studied, including the line graphs of line graphs, line graphs of multigraphs, line graphs of hypergraphs, and line graphs of weighted graphs.
(5 ) For any fixed rational number t > 1, it is NP-complete to determine whether a weighted graph contains a tree t-spanner, even if all edge weights are positive integers.
If " G " is a bipartite multigraph or weighted graph then the elements " b " " i ", " j " are taken to be the number of edges between the vertices or the weight of the edge, respectively.
Common formulations of the clique problem include finding a maximum clique ( a clique with the largest possible number of vertices ), finding a maximum weight clique in a weighted graph, listing all maximal cliques ( cliques that cannot be enlarged ), and solving the decision problem of testing whether a graph contains a clique larger than a given size.