Combinatorics and Graph Theory

   

Statistics on Small Graphs

Authors: Richard J. Mathar

We create the unlabeled or vertex-labeled graphs with up to 10 edges and up to 10 vertices and classify them by a set of standard properties: directed or not, vertex-labeled or not, connectivity, presence of isolated vertices, presence of multiedges and presence of loops. We present tables of how many graphs exist in these categories.

Comments: Pages 47-120 are adjacency matrices for connected simple graphs up to 7 nodes.

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Submission history

[v1] 2017-08-28 06:04:10

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