A characteristic polynomial
β Scribed by Jon Rokne
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 137 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The characteristic polynomial of a graph G is defined as det(xI -A), where I is the identity matrix and A is the adjacency matrix of G. Based on reduction procedures, we show that the characteristic polynomial of a catacondensed system can be obtained from a product of 5 Γ 5 matrices with integer co
Several unique advantages of the Le Verrier-Fadeev-Frame method for the characteristic polynomials of graphs over the method proposed by Zivkovic recently based on the Givens-Householder method are described. It is shown that the Givens-Householder method proposed by Zivkovic, by itself fails for di
Two algorithms for the evaluation of the characteristic polynomial of a graph G are described. Both algorithms have the operation count of the order n3, where n is the number of the vertices in the graph G. These algorithms are stable, fast, and efficient. They are one order of magnitude faster tha