Note on PI and Szeged indices

Details Note on PI and Szeged indices Note on PI and Szeged indices

2011-03-13

arxiv.org/abs/1103.2513v1

Mathematical and Computer Modelling 52 (2010) 1570-1576

Mathematics

Combinatorics

10 pages, 3 figures

Scientific paper

10.1016/j.mcm.2010.06.022

In theoretical chemistry molecular structure descriptors are used for modeling physico-chemical, pharmacological, toxicologic, biological and other properties of chemical compounds. In this paper we study distance-based graph invariants and present some improved and corrected sharp inequalities for PI, vertex PI, Szeged and edge Szeged topological indices, involving the number of vertices and edges, the diameter, the number of triangles and the Zagreb indices. In addition, we give a complete characterization of the extremal graphs.

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