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


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Entry modified 2 November 2020.
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Cite this as:
Alen Lovrencic, "maximally connected component", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 2 November 2020. (accessed TODAY) Available from: