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.
关键词
PI指数/齿轮图/一致膨胀图/图对称性/类比
Key words
PI index/gear graph/uniform inflation graph/symmetry/analogously
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