What is the pagerank centrality of the central vertex in, Basic Computer Science

What is the pagerank centrality of the central vertex in

Suppose a directed network takes the form of a tree with all edges pointing inward towards a central vertex:

What is the PageRank centrality of the central vertex in terms of the single parameter a appearing in the definition of PageRank and the geodesic distances di from each vertex i to the central vertex?

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Basic Computer Science: What is the pagerank centrality of the central vertex in

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