Search results
Results from the WOW.Com Content Network
A strongly connected component C is called trivial when C consists of a single vertex which is not connected to itself with an edge, and non-trivial otherwise. [1] The yellow directed acyclic graph is the condensation of the blue directed graph. It is formed by contracting each strongly connected component of the blue graph into a single yellow ...
The algorithm takes a directed graph as input, and produces a partition of the graph's vertices into the graph's strongly connected components. Each vertex of the graph appears in exactly one of the strongly connected components. Any vertex that is not on a directed cycle forms a strongly connected component all by itself: for example, a vertex ...
The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations .
The components of a graph can be constructed in linear time, and a special case of the problem, connected-component labeling, is a basic technique in image analysis. Dynamic connectivity algorithms maintain components as edges are inserted or deleted in a graph, in low time per change.
Comprehensive set of tools for finite element codes, scaling from laptops to clusters with 100,000+ cores. Written in C++, it supports all widely used finite element types, serial and parallel meshes, and h and hp adaptivity.
Connected component may refer to: Connected component (graph theory) , a set of vertices in a graph that are linked to each other by paths Connected component (topology) , a maximal subset of a topological space that cannot be covered by the union of two disjoint non-empty open sets
Therefore, homological connectivity is equivalent to the graph having a single connected component, which is equivalent to graph connectivity. It is similar to the notion of a connected space . X is homologically 1-connected if it is homologically-connected, and additionally, its 1-th homology group is trivial, i.e. H 1 ( X ) ≅ 0 ...
In graph theory, the strongly connected components of a directed graph may be found using an algorithm that uses depth-first search in combination with two stacks, one to keep track of the vertices in the current component and the second to keep track of the current search path. [1]