Two questions:(adsbygoogle = window.adsbygoogle || []).push({});

Show that if G' is a connected subgraph of a graph G, then G' is contained in a component.

Show that if a graph G is partitioned into connected subgraphs so that each edge and each vertex in G belong to one of the subgraphs, the subgraphs are components.

Basically the problem is my shady notion of what a component is. I've read a couple of definitions, but I'm still dubious. From what I understand, a component of a graph G is nothing more than a connected subgraph of G. If this is true, then the aforementioned problems are trivially trivial. Hmm...

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# Components of a Graph

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