lobby: Find the lobby index (centrality)
Description
The l-index or lobby index of a node \(x\) is the largest integer \(k\) such that \(x\) has at least \(k\) neighbors with a degree of at least \(k\).
Usage
lobby(graph, vids = V(graph), mode = c("all", "out", "in"), loops = TRUE)
Arguments
graph
The input graph as igraph object
vids
Vertex sequence, the vertices for which the centrality values are returned. Default is all vertices.
mode
Character constatnt, it specifies how to use the direction of the edges if a directed graph is analyzed. For 'out' only the outgoing edges are followed. For 'in' all vertices from which the source vertex is reachable in at most order steps are counted. 'all' ignores the direction of the edges. This argument is ignored for undirected graphs.
loops
Logical; whether the loop edges are also counted.
Value
A numeric vector contaning the centrality scores for the selected vertices.
References
Korn, A., A. Schubert, and A. Telcs. "Lobby index in networks." Physica A: Statistical Mechanics and its Applications 388.11 (2009): 2221-2226.
Examples
Run this code# NOT RUN {
g <- random.graph.game(20, 3/10)
lobby(g)
# }
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