Consider a star graph consisting of a central hub vertex and spokes, but instead of placing a single point at the end of each spoke, place points along it (in addition to the shared central point). While this graph has been considered by various authors, it apparently has not been given a standard name. In this work, to avoid confusion with star graphs and permutation star graphs, the term spoke graph is used.
See alsoHelm Graph, Star Graph, Web Graph, Wheel Graph
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Weisstein, Eric W. "Spoke Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpokeGraph.html