**Connected component**s are part of topology and graph theory, two related branches of mathematics.

- For the graph-theoretic concept, see connected component (graph theory).
- In topology: connected component (topology).

Implementations:

- Connected-component labeling is an algorithm in image processing.

### Other articles related to "connected, connected components, connected component":

Connected-component Labeling - Others - One-pass Version

... A one pass version of the

... A one pass version of the

**connected**-component-labeling algorithm is given as follows ... The algorithm identifies and marks the**connected components**in a single pass ... on the size of the image and the number of**connected components**(which create an overhead) ...**Connected Component**(graph Theory)

... In graph theory, a

**connected component**of an undirected graph is a subgraph in which any two vertices are

**connected**to each other by paths, and which is

**connected**to no additional vertices in the supergraph ... For example, the graph shown in the illustration on the right has three

**connected components**... A graph that is itself

**connected**has exactly one

**connected component**, consisting of the whole graph ...

Graded Poset - Alternative Characterizations

... A poset is graded if and only if every

... A poset is graded if and only if every

**connected component**of its comparability graph is graded, so further characterizations will suppose this ... On each**connected component**the rank function is only unique up to a uniform shift (so the rank function can always be chosen so that the elements of minimal ...Bridge (graph Theory) - Bridgeless Graphs

... Equivalent conditions are that each

... Equivalent conditions are that each

**connected component**of the graph has an open ear decomposition, that each**connected component**is 2-edge-**connected**, or (by Robbins' theorem ...### Famous quotes containing the words component and/or connected:

“... no one knows anything about a strike until he has seen it break down into its *component* parts of human beings.”

—Mary Heaton Vorse (1874–1966)

“War and culture, those are the two poles of Europe, her heaven and hell, her glory and shame, and they cannot be separated from one another. When one comes to an end, the other will end also and one cannot end without the other. The fact that no war has broken out in Europe for fifty years is *connected* in some mysterious way with the fact that for fifty years no new Picasso has appeared either.”

—Milan Kundera (b. 1929)

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