Matching polynomials of fullerene cages for &,-CsO are computed and analyzed. Based on these results the tirst few coeffkients of the matching polynomials of C60-Cw cages are obtained. The matching polynomials thus computed are useful in the characterization of aromaticities, computation of the gran
Spectra of matching polynomials
โ Scribed by K. Balasubramanian
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 470 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper we report on the properties of the matching polynomial ฮฑ(__G__) of a graph __G__. We present a number of recursion formulas for ฮฑ(__G__), from which it follows that many families of orthogonal polynomials arise as matching polynomials of suitable families of graphs. We con
The matching polynomial of a graph has coefficients that give the number ofmatchings in the graph. For a regular graph, we show it is possible to recover the order, degree, girth and number of minimal cycles from the matching polynomial. If a graph is characterized by its matching polynomial, then i
A new approach is formuiatedfor the matching polynomial m(G) of a graph G. A matrix A(G) is associated with G. A certain function de$ned on A(G) yields the matching polynomial of G. This approach leads to a simple characterization of m(G). It also facilitates a technique for constructing graphs with
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