A computer program based on the Frame method for the characteristic polynomials of graphs is developed. This program makes use of an efficient polynomial algorithm of Frame for generating the coefficients in the characteristic polynomials of graphs. This program requires as input only the set of ver
The use of Frame's method for the characteristic polynomials of chemical graphs
β Scribed by K. Balasubramanian
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 426 KB
- Volume
- 65
- Category
- Article
- ISSN
- 1432-2234
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A parallel algorithm is developed for the f i t time based on Frame's method to compute the characteristic polynomials of chemical graphs. This algorithm can handle all types of graphs: ordinary, weighted, directed, and signed. Our algorithm takes only linear time in the CRCW PRAM model with O(n9) p
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