Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Juan R. Carmona"'
Autor:
Juan R. Carmona, Jonnathan Rodríguez
Publikováno v:
Linear and Multilinear Algebra. 70:4792-4803
Let D be a simple digraph with eigenvalues z1,z2,…,zn. The energy of D is defined as E(D)=∑i=1n|Re(zi)|, where Re(zi) is the real part of the eigenvalue zi. In this paper, a lower bound for the spe...
Autor:
Hilal A. Ganie, Juan R. Carmona
Publikováno v:
Discrete Mathematics. 346:113118
Autor:
Juan R. Carmona, Jonnathan Rodríguez
Publikováno v:
Linear Algebra and its Applications. 580:200-211
Let G be a graph on n vertices and λ 1 ≥ λ 2 ≥ … ≥ λ n its eigenvalues. The Estrada index of G is defined as E E ( G ) = ∑ i = 1 n e λ i . In this work, we use an increasing sequence converging to the λ 1 to obtain an increasing sequen
Publikováno v:
Discrete Mathematics. 344:112303
Let G be a graph on n vertices and λ 1 , λ 2 , … , λ n its eigenvalues. The Estrada index of G is an invariant that is calculated from the eigenvalues of the adjacency matrix of a graph. In this paper, we present some new lower bounds for the Es
Publikováno v:
Linear Algebra and its Applications. 446:304-313
Let R be a nonnegative Hermitian matrix. The energy of R , denoted by E ( R ) , is the sum of absolute values of its eigenvalues. We construct an increasing sequence that converges to the Perron root of R . This sequence yields a decreasing sequence