maximally connected component


Definition: A connected subgraph of a graph to which no vertex can be added and it still be connected.

Formal Definition: Given a graph G=(V, E), a subgraph S=(V', E') is a maximally connected component if

See also connected graph, connected components, biconnected component, strongly connected component.

Note: Informally, (one of) the biggest connected subgraph(s) of a graph. Also know as "connected component", with the "maximal" property understood.

Author: AL


(C++, C, Java, and Mathematica)
Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 12 August 2019.
HTML page formatted Mon Aug 12 09:59:40 2019.

Cite this as:
Alen Lovrencic, "maximally connected component", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 12 August 2019. (accessed TODAY) Available from: