Characterizing Graphs Of Maximum Principal Ratio
نویسندگان
چکیده
The principal ratio of a connected graph, denoted γ(G), is the ratio of the maximum and minimum entries of its first eigenvector. Cioabă and Gregory conjectured that the graph on n vertices maximizing γ(G) is a kite graph: a complete graph with a pendant path. In this paper we prove their conjecture.
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