Katz centrality of graph vertices solving (I - alpha A) x = beta
KatzCentrality[g, α]
KatzCentrality[g, α, β]
KatzCentrality[{v -> w, …}, …]
Part[VertexList[g], Ordering[KatzCentrality[g, 0.1], All, Greater]]
→ VertexList[g][[{1, 2}]]Part[VertexList[g], Ordering[KatzCentrality[g, 0.1], -2]]
→ VertexList[g][[{2, 1}]]