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Define a graph

I would like to define a graph G as follows:

Assume T is a graph with t leaves. Add t copies of Petersen graph to T and identify a vertex from the outer cycle of each Petersen graph with a leaf such that t added Petersen graphs are disjoint.

I would appreciate it if you tell how I can define this graph.

Define a graph

I would like to define a graph G as follows:

Assume T is a graph with t leaves. Add t copies of Petersen graph to T and identify a vertex from the outer cycle of each Petersen graph with a leaf such that t added Petersen graphs are disjoint.

I would appreciate it if you tell how I can define this graph.