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Connected Graph


A Graph which is connected (as a Topological Space), i.e., there is a path from any point to any other point in the Graph. The number of $n$-Vertex (unlabeled) connected graphs for $n=1$, 2, ... are 1, 1, 2, 6, 21, 112, 853, 11117, ... (Sloane's A001349).


Chartrand, G. ``Connected Graphs.'' §2.3 in Introductory Graph Theory. New York: Dover, pp. 41-45, 1985.

Sloane, N. J. A. Sequence A001349/M1657 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

© 1996-9 Eric W. Weisstein