Graphical matrices in chemistry
Sonja Nikolić, Ante Miličević, Nenad Trinajstić · Institutional Repository of the Ruđer Bošković Institute (Ruđer Bošković Institute) · 2005
Abstract:- Graphical matrices are presented. Their construction via selected sets of subgraphs and the replacement of subgraphs by numbers representing graph invariants are discussed. The last step of the procedure is to apply the method of choice for obtaining the desired double invariant from the graphical matrix in the numerical form. It is also pointed out that many so-called special graph-theoretical matrices from the literature are rooted in the corresponding graphical matrices. Two descriptors, the Wiener-Wiener index and the Hosoya-Wiener index as examples of double invariants have been generated from the appropriate graphical matrices and used in the structure-boiling point and structure-steric energy modeling of octanes. The obtained models possess the statistical parameters that are comparable to those of the best structure-boiling point and structure-steric energy models for octanes in the literature. Key-Words:- chemical graph theory, double invariants, graphical matrices, Hosoya-Wiener index, molecular