Year: 2025
Type: article
Abstract: Szeged-type indices form a class of distance-based structural descriptors in chemical graph theory, encompassing the Szeged index, the vertex PI index, the Mostar index, the Trinajstić index, and the square PI index (SP I), the last of which was recently introduced by Brezovnik and Tratnik [Int.J.Quantum Chem.121 (2021) #e26530].To date, no systematic study of SP I has been conducted, and the present paper aims to fill this gap.We establish several mathematical properties of SP I, including its relationships with the Szeged index, and we determine the graphs that maximize SP I among cactus graphs of a given order.We conclude the paper by proposing a conjecture and a few open problems.
Source: Discrete Mathematics Letters
Authors: Liju Alex, Ivan Gutman, Dariush Heidari, Mohammadreza Rostami
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417128370
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