Operator technique for obtaining the recursion formulas of characteristic and matching polynomials as applied to polyhex graphs
- 1 December 1983
- journal article
- research article
- Published by Wiley in Journal of Computational Chemistry
- Vol. 4 (4) , 585-593
- https://doi.org/10.1002/jcc.540040418
Abstract
A simple and efficient method, called an operator technique, for obtaining the recurrence relation of a given counting polynomial, e.g., characteristic PG(x) or matching MG(x) polynomial, for periodic networks is proposed. By using this technique the recurrence relations of the PG(x) and MG(x) polynomials for the linear zigzag‐type and kinked polyacene graphs were obtained. For the lower members of these series of graphs, the coefficients of PG(x) and MG(x) polynomials are tabulated.Keywords
This publication has 15 references indexed in Scilit:
- On evaluation of the characteristic polynomial for large moleculesJournal of Computational Chemistry, 1982
- Use of Propagators in the Hückel ModelBulletin of the Chemical Society of Japan, 1980
- Failures of the topological resonance energy methodTheoretical Chemistry Accounts, 1980
- An introduction to matching polynomialsJournal of Combinatorial Theory, Series B, 1979
- Graph theory and molecular orbitals. 19. Nonparametric resonance energies of arbitrary conjugated systemsJournal of the American Chemical Society, 1977
- A new definition of Dewar-type resonance energiesJournal of the American Chemical Society, 1976
- Topological index as applied to π-electronic systems. III. Mathematical relations among various bond ordersThe Journal of Chemical Physics, 1976
- A topological index for the total?-electron energyTheoretical Chemistry Accounts, 1975
- Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated HydrocarbonsBulletin of the Chemical Society of Japan, 1971
- The electronic structure of conjugated systems I. General theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1947