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Date: 12-2-2016
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The neighborhood graph of a given graph from a vertex is the subgraph induced by the neighborhood of a graph from vertex
, most commonly including
itself. Such graphs are sometimes also known in more recent literature as ego graphs or ego-centered networks (Newman 2010, pp. 44-46).
A graph for which the neighborhood graph at each point excluding the point itself is isomorphic to a graph
is said to be a local H graph, or simply "locally
."
Neighborhood graphs are implemented in the Wolfram Language as NeighborhoodGraph[g, v].
Newman, M. Networks: An Introduction. Oxford, England: Oxford University Press, 2010.
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