The spectral radius of the adjacency matrix of benzenoid hydrocarbon
โ Scribed by J. Cioslowski
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 112 KB
- Volume
- 70
- Category
- Article
- ISSN
- 1432-2234
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๐ SIMILAR VOLUMES
We develop lower bounds for the spectral radius of symmetric, skew-symmetric, and arbitrary real matrices, Our approach utilizes the well-known Leverrier-Faddeev algorithm for calculating the coefficients of the characteristic polynomial of a matrix in conjunction with a theorem by Lucas which state
For an n X n interval matrix ~2 = ( Aij), we say that d is wuzjorized by the point matrix ti = (aij) if aij = 1 Aijl when the jth column of S' has the property that there exists a power P containing in the same jth column at least one interval not degenerated to a point interval, and ai1 = Aij other
A method for the estimation of E,,, the number of benzenoid systems with h hexagons, is presented. B,, is predicted to lie between 3.200x lo6 and 3.202x 106. This is a significant improvement on the earlier result which located BI1 between 3.080~ lo6 and 3.300x 106.