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Date: 8-4-2022
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Date: 19-4-2022
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The (connected) caveman graph is a graph arising in social network theory formed by modifying a set of isolated -cliques (or "caves") by removing one edge from each clique and using it to connect to a neighboring clique along a central cycle such that all
cliques form a single unbroken loop (Watts 1999). A number of cavemen graphs formed in this manner from
are illustrated above.
Caveman graphs are perfect.
Caveman graphs will are implemented in the Wolfram Language as GraphData["Caveman",
n, k
].
Watts, D. J. Small Worlds: The Dynamics of Networks between Order and Randomness. Princeton, NJ: Princeton University Press, 1999.
Watts, D. J. "Networks, Dynamics, and the Small-World Phenomenon." Amer. J. Soc. 105, 493-527, 1999.
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