It is shown that the Frame's method (also, Le Verrier-Faddeev's method) for characteristic polynomials of chemical graphs can be extended to periodic graphs and structures. The finite periodic structures are represented by cyclic structures in the Born-von K h n a n boundary condition which leads to
Factorization and recursion relations of the matching and characteristic polynomials of periodic polymer networks
โ Scribed by Haruo Hosoya
- Book ID
- 105115297
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 805 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0259-9791
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๐ SIMILAR VOLUMES
A simple and efficient method, called an operator technique, for obtaining the recurrence relation of a given counting polynomial, e.g., characteristic Pc; (x) or matching M c (x) polynomial, for periodic networks is proposed. By using this technique the recurrence relations of the Pc (x) and M(; (x
Computational algorithms are described which provide for constructing the set of associated edgeweighted directed graphs such that the average of the characteristic polynomials of the edge-weighted graphs gives the matching polynomial of the parent graph. The weights were chosen to be unities or pur