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Spectra of matching polynomials

โœ Scribed by K. Balasubramanian


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
470 KB
Volume
208
Category
Article
ISSN
0009-2614

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๐Ÿ“œ SIMILAR VOLUMES


Matching polynomials of fullerene cluste
โœ K. Balasubramanian ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 646 KB

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

On the theory of the matching polynomial
โœ C. D. Godsil; I. Gutman ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 325 KB ๐Ÿ‘ 1 views

## 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 regular gra
โœ Robert A. Beezer; E.J. Farrell ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 588 KB

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

Matching polynomials: A matrix approach
โœ E.J. Farrell; S.A. Wahid ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 426 KB

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 for matching po
โœ Haruo Hosoya; K. Balasubramanian ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 736 KB

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