𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the second eigenvalue of matrices associated with TCP

✍ Scribed by Abraham Berman; Thomas Laffey; Arie Leizarowitz; Robert Shorten


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
120 KB
Volume
416
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the second real eigenvalue of nonegat
✍ Shmuel Friedland; Reinhard Nabben πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 564 KB

We give bounds for the second real eigenvalue of nonegative matrices and Z-matrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using these bounds, we prove that our inequality for the second real eigenvalue of the adjacenc

On eigenvalues of meet and join matrices
✍ Pauliina Ilmonen; Pentti Haukkanen; Jorma K. Merikoski πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 166 KB

Let (P , , ∧) be a locally finite meet semilattice. Let S = {x 1 , x 2 , . . . , x n }, x i x j β‡’ i j, be a finite subset of P and let f be a complex-valued function on P . Then the n Γ— n matrix (S) f , where is called the meet matrix on S with respect to f . The join matrix on S with respect to f

On the eigenvalues of double band matric
✍ Tyler McMillen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 140 KB

We consider matrices containing two diagonal bands of positive entries. We show that all eigenvalues of such matrices are of the form rΞΆ , where r is a nonnegative real number and ΞΆ is a pth root of unity, where p is the period of the matrix, which is computed from the distance between the bands. We

On the second eigenvalue of a graph
✍ A. Nilli πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 241 KB

Nilli, A., On the second eigenvalue of a graph, Discrete Mathematics 91 (1991) 207-210. It is shown that the second largest eigenvalue of the adjacency matrix of any G containing two edges the distance between which is at least 2k + 2 is at least (2G -l)/(k + 1).