authority.score (graph, scale = TRUE, options = igraph.arpack.default)
hub.score (graph, scale = TRUE, options = igraph.arpack.default)
arpack
for details.options
member returned by
arpack
, see that for documentation.The hub scores of the vertices are defined as the principal eigenvector of $A A^T$, where $A$ is the adjacency matrix of the graph.
Obviously, for undirected matrices the adjacency matrix is symmetric and the two scores are the same.
evcent
for eigenvector centrality,
page.rank
for the Page Rank scores. arpack
for the underlining machinery of the computation.## An in-star
g <- graph.star(10)
hub.score(g)$vector
authority.score(g)$vector
## A ring
g2 <- graph.ring(10)
hub.score(g2)$vector
authority.score(g2)$vector
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