The Padmakar-Ivan (PI) index is a first-generation topological index (TI) based on sums over all edges between numbers of edges closer to one endpoint and numbers of edges closer to the other endpoint. Edges at equal distances from the two endpoints are ignored. An analogous definition is valid for the Wiener index W, with the difference that sums are replaced by products. A few other TIs are discussed, and comparisons are made between them. The best correlation is observed between indices G and PI; satisfactory correlations exist between W/n3 and PI/n2, where n denotes the number of vertices in the hydrogen-depleted graph.
BALABAN, A., KHADIKAR, P., & AZIZ, S. (2010). Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations. Iranian Journal of Mathematical Chemistry, 1(Issue 1 (Special Issue on the Role of PI Index in Nanotechnology)), 43-67. doi: 10.22052/ijmc.2010.5134
MLA
A. T. BALABAN; P. V. KHADIKAR; S. AZIZ. "Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations". Iranian Journal of Mathematical Chemistry, 1, Issue 1 (Special Issue on the Role of PI Index in Nanotechnology), 2010, 43-67. doi: 10.22052/ijmc.2010.5134
HARVARD
BALABAN, A., KHADIKAR, P., AZIZ, S. (2010). 'Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations', Iranian Journal of Mathematical Chemistry, 1(Issue 1 (Special Issue on the Role of PI Index in Nanotechnology)), pp. 43-67. doi: 10.22052/ijmc.2010.5134
VANCOUVER
BALABAN, A., KHADIKAR, P., AZIZ, S. Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations. Iranian Journal of Mathematical Chemistry, 2010; 1(Issue 1 (Special Issue on the Role of PI Index in Nanotechnology)): 43-67. doi: 10.22052/ijmc.2010.5134
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