Kirchhoff Index and Degree Kirchhoff Index of Tetrahedrane-Derived Compounds

Tetrahedrane-derived compounds consist of n crossed quadrilaterals and possess complex three-dimensional structures with high symmetry dense spatial arrangements. As a result, these hold great potential for applications in materials science, catalytic chemistry, other related fields. The Kirchhoff index graph G is defined as the sum resistive distances between any two vertices G. This article focuses on studying type tetrafunctional compound linear square chain shape. degree this are calculated, detailed analysis discussion conducted. calculation formula obtained based relationship Laplace eigenvalue, number spanning trees derived quadrangular chains. validated using Ohm’s law Cayley’s theorem. Asymptotically, ratio to Wiener approaches one-fourth. Additionally, expression through regular eigenvalue matrix decomposition