Abstract
A set Q⊆V is a hub set of a graph G=(V,E) if, for every pair of vertices u,v∈V∖Q, there exists a path from u to v such that all intermediate vertices are in Q. The hub number of G is the minimum size of a hub set in G. This paper derives the hub numbers of Sierpinski-like graphs including: Sierpinski graphs, extended Sierpinski graphs, and Sierpinski gasket graphs. Meanwhile, the corresponding minimum hub sets are also obtained.
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