Examples of using Connected components in English and their translations into Russian
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Connected components can be found by the following algorithms.
Search for the strongly connected components in the original graph.
For a disconnected graph, the list of minimum spanning trees for all connected components.
The methods for labeling connected components of digital binary images are considered.
And then, depending on the needs of the connected components.
Unlike connected components, however, one module can be a proper subset of another.
Where[math]u[/math] is the number of strongly connected components in the original graph.
Find the connected components of core points on the neighbor graph, ignoring all non-core points.
Removing k vertices from a path graph can split the remaining graph into as many as k+ 1 connected components.
The ends of a topological space are, roughly speaking, the connected components of the“ideal boundary” of the space.
Connected components of a graph G{\displaystyle G}, or of its complement graph are also modules of G{\displaystyle G.
A topological space X is totally disconnected if the connected components in X are the one-point sets.
Consequently, for an undirected graph, the search for transitive closure is equivalent to finding connected components.
The initialization of strongly connected components[1] can be done in parallel and requires[math]|V|[/math] operations.
The number of edges in a spanning forest of a graph with[math]n[/math]vertices consisting of[math]c[/math] connected components is[math]n-c/math.
A quartic curve can have a maximum of: Four connected components Twenty-eight bi-tangents Three ordinary double points.
This is a corollary to the fact that the number of times 0 appears as an eigenvalue in the Laplacian is the number of connected components in the graph.
The parallelization resource of the search for strongly connected components can vary and depends on the choice of algorithm.
For shared or connected components, a malfunction need only be detected to the extent it may impact the ESC system's operation.
The transitive closure of such graph reduces to finding its connected components and can be constructed by the following algorithms.
The minimum k-cut, is a combinatorial optimization problem that requires finding a set of edges whose removal would partition the graph to at least k connected components.
Thus, even for tournaments that are not transitive,the strongly connected components of the tournament may be totally ordered.
Connected Components Workbench software is specifically designed to help you meet today's requirements through a range of application-based control solutions.
Thus, the AS-Interface system can be installed in the field next to the connected components in the potentially explosive area.
Equivalently, it is one of the connected components of the subgraph of G formed by repeatedly deleting all vertices of degree less than k.
It is essentially a generating function for the number of edge sets of a given size and connected components, with immediate generalisations to matroids.
The algebraic group O(q)has two connected components, and its identity component SO(q) is reductive, in fact simple for q of dimension n at least 3.
A simple greedy algorithm that achieves this approximation factor computes a minimum cut in each connected components and removes the lightest one.
An example of this is Kosaraju's algorithm for strongly connected components, which applies depth first search twice, once to the given graph and a second time to its reversal.
Thus, every grid graph has a separator S of size at most√n,the removal of which partitions it into two connected components, each of size at most n/2.