are themselves strongly connected. It is possible to test the strong connectivity of a graph, or to find its strongly connected components, in linear time...
13 KB (1,642 words) - 16:35, 24 July 2025
Tarjan's strongly connected components algorithm is an algorithm in graph theory for finding the strongly connected components (SCCs) of a directed graph...
13 KB (1,732 words) - 20:54, 1 August 2025
Connectivity (graph theory) (redirect from Strongly connected digraph)
edge. A graph is connected if and only if it has exactly one connected component. The strong components are the maximal strongly connected subgraphs of a...
17 KB (2,062 words) - 23:37, 25 March 2025
collection of connected subsets such that each contains x {\displaystyle x} will once again be a connected subset. The connected component of a point x...
27 KB (3,874 words) - 20:36, 24 March 2025
Kosaraju's algorithm) is a linear time algorithm to find the strongly connected components of a directed graph. Aho, Hopcroft and Ullman credit it to S...
9 KB (1,354 words) - 17:09, 22 April 2025
its strongly connected components using any of the known linear-time algorithms for strong connectivity analysis. Check whether any strongly connected component...
64 KB (9,112 words) - 06:21, 30 December 2024
Identity component Irreducible component Spare part Strongly connected component Tangential and normal components Category:Components This disambiguation page...
2 KB (280 words) - 12:12, 8 November 2024
graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition...
30 KB (3,443 words) - 23:25, 29 June 2025
weak components were defined in a 1972 paper by Ronald Graham, Donald Knuth, and (posthumously) Theodore Motzkin, by analogy to the strongly connected components...
12 KB (1,608 words) - 07:46, 27 May 2025
strongly connected component of the given graph, and to break these strongly connected components down even farther to their biconnected components by...
54 KB (6,116 words) - 02:17, 25 June 2025
where X and Y are two strongly connected components of G that are connected by an edge in the condensation, x is any vertex in component X, and y is any vertex...
16 KB (2,279 words) - 19:58, 12 October 2024
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...
5 KB (612 words) - 19:57, 12 October 2024
and all of its vertices with nonzero degree belong to a single strongly connected component. Equivalently, a directed graph has an Eulerian cycle if and...
29 KB (3,459 words) - 16:30, 26 July 2025
Simply connected Small-world network Strongly connected component Totally disconnected "the definition of connectedness". Dictionary.com. Retrieved 2016-06-15...
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Biconnected graph (redirect from Bi-connected graph)
graph. Every 2-connected graph can be constructed inductively by adding paths to a cycle (Diestel 2016, p. 59). Biconnected component Eric W. Weisstein...
4 KB (325 words) - 17:12, 28 December 2024
Glossary of graph theory (redirect from Strongly perfect graph)
and strongly connected components of directed graphs, see connected and component. A strong orientation is an orientation that is strongly connected; see...
109 KB (16,011 words) - 12:09, 30 June 2025
the identity component of a group G (also known as its unity component) refers to several closely related notions of the largest connected subgroup of...
7 KB (879 words) - 05:50, 15 February 2025
connected if every point admits a neighbourhood basis consisting of open connected sets. As a stronger notion, the space X is locally path connected if...
22 KB (3,186 words) - 04:08, 26 April 2025
a DAG, called its condensation, by contracting each of its strongly connected components into a single supervertex. When the graph is already acyclic...
45 KB (5,646 words) - 17:54, 7 June 2025
sorted Tarjan's strongly connected components algorithm, an algorithm that gives the topologically sorted list of strongly connected components in a graph...
23 KB (3,170 words) - 16:32, 22 June 2025
the removal of S from the graph separates a and b into distinct connected components. Consider a grid graph with r rows and c columns; the total number...
7 KB (797 words) - 12:52, 5 July 2024
Controller Single-chip Cloud Computer, Intel's 48-core research chip Strongly connected component in graph theory Southern Comfort Conference, an annual transgender...
6 KB (689 words) - 23:17, 15 January 2025
discoverer of several graph theory algorithms, including his strongly connected components algorithm, and co-inventor of both splay trees and Fibonacci...
18 KB (1,513 words) - 11:32, 21 June 2025
website linking Scraper site Server farm Spam blog Spam in blogs Strongly connected component Web guide "link farming". www.webopedia.com. 16 January 2002...
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Harold N.; Somenzi, Fabio (January 2006), "An algorithm for strongly connected component analysis in n log n symbolic steps", Formal Methods in System...
5 KB (621 words) - 05:09, 7 July 2025
not strongly connected, we may perform a similar computation in each strongly connected component of G, ignoring the edges that pass from one strongly connected...
5 KB (607 words) - 19:54, 12 October 2024
there exists a strongly connected component in H containing edge x,y. This edge must belong to a simple cycle in H (by the definition of strong connectivity)...
9 KB (1,179 words) - 19:55, 12 October 2024
problem may be replaced by its condensation, in which every strongly connected component is replaced by a single vertex. The condensation is always a...
12 KB (1,622 words) - 19:54, 12 October 2024
using undirected connectivity and connected components in place of strong connectivity and strongly connected components. Cycle rank was introduced by Eggan...
11 KB (1,221 words) - 14:06, 27 May 2025
with mismatches string searching strip packing strongly connected component strongly connected graph strongly NP-hard subadditive ergodic theorem subgraph...
35 KB (3,135 words) - 18:46, 6 May 2025