PI Index of Gear Graph and Uniform Inflation Graph
Gear graph is obtained by adding a vertex between each adjacent two vertexs on the cyclic of the wheel graph.Because the gear graph has strictly symmetry,it is used to classify its edges and calculate the PI index of gear graph.The uniform inflation graph of gear graph is to replace each vertex with a complete graph of equal order.By analogy with gear graph,the PI index of the uniform inflation graph is calculated,which provides a clue for the study of the PI index of some special graphs.
PI indexgear graphuniform inflation graphsymmetryanalogously
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