Vertex PI Index and Szeged Index of Certain Special Molecular Graphs

Li Yan1, Junsheng Li1, *, Wei Gao2
1 School of Engineer, Honghe University, Mengzi 661100, China
2 School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China

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© 2014 Yan et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the School of Engineer, Honghe University, Mengzi 661100, China; Tel: +86 139-8733-0109; E-mail:;


The vertex PI index and Szeged index are distance-based topological index which reflect certain structural features of organic molecules. Each structural feature of such organic molecule can be expressed as a graph. In this paper, we determine the vertex PI index and Szeged index of fan molecular graph, wheel molecular graph, gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs.

Keywords: Chemical graph theory, vertex PI index, Szeged index, Fan molecular graph, Wheel molecular graph, Gear fan molecular graph, Gear wheel molecular graph, r-corona molecular graph.