Results 271 to 280 of about 478,134 (315)

ON THE SIZE, SPECTRAL RADIUS, DISTANCE SPECTRAL RADIUS AND FRACTIONAL MATCHINGS IN GRAPHS

Bulletin of the Australian Mathematical Society, 2023
AbstractWe first establish a lower bound on the size and spectral radius of a graph G to guarantee that G contains a fractional perfect matching. Then, we determine an upper bound on the distance spectral radius of a graph G to ensure that G has a fractional perfect matching.
SHUCHAO LI, SHUJING MIAO, MINJIE ZHANG
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Local Spectral Radius Preservers

Integral Equations and Operator Theory, 2013
Let \(X\) be an infinite-dimensional complex Banach space and \(\mathcal B(X)\) the space of all bounded operators on \(X\). The authors show that, if \(\varphi\) is a surjective map on \(\mathcal B(X)\) such that \(\mathrm r_{T-S}(x)=0\) if and only if \(\mathrm r_{\varphi(T)-\varphi(S)}(x)=0\) for every \(x\in X\) and \(S,T\in\mathcal B(X)\), then ...
Bourhim, Abdellatif, Mashreghi, Javad
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The generalized spectral radius, numerical radius and spectral norm

Linear and Multilinear Algebra, 1984
Given n×n complex matrices A, C with eigenvalues αj, γj, 1 ⩾ j ⩾ n, respectively, we have the relation where and respectively are the generalized spectral radius, generalized numerical radius and generalized spectral norm of A with respect to C. For C = diag(1,0,…,0), it reduces to the classical relation In this note, we investigate matrices for which .
Chi-Kwong Li, Tin-Yau Tam, Nam-Kiu Tsing
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Spectral Radius and Radius of Convergence

The American Mathematical Monthly, 1974
(1974). Spectral Radius and Radius of Convergence. The American Mathematical Monthly: Vol. 81, No. 6, pp. 625-627.
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Spectral Radius and Degree Sequence

Mathematische Nachrichten, 1988
AbstractFor a nonregular graph there is exactly one value of p such that the p‐mean of its degree sequence is equal to the spectral radius. We try to investigate the structural content of this so‐called spectral mean characteristic; in particular, we characterize the connected graphs of spectral mean characteristic 2.
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Joint Spectral Radius

2010
The spectral radius of a square matrix is the absolute value of its largest eigenvalue. The joint spectral radius of two square matrices A and B of the same size, is defined by the following steps:
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The Spectral Radius of infinite Graphs

Bulletin of the London Mathematical Society, 1988
For an infinite graph \(\Gamma\) with vertex set V and finitely bounded valency, the adjacency operator A is well-defined on \(\ell^ 2(V)\) and is bounded and self-adjoint. The spectral radius \(\rho\) (\(\Gamma)\) is the supremum of \(| |\) over \(\| x\| =1\).
Biggs, N.L., Mohar, B., Shawe-Taylor, J.
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On an inequality for spectral radius

Linear and Multilinear Algebra, 1996
In this note we first extend and then give a related result to an inequality involving the spectral radius of nonnegative matrices that recently appeared in the literature.
Mond, Bertram, Pečarić, Josip
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Nested Bounds for the Spectral Radius

SIAM Journal on Numerical Analysis, 1968
It is knowyn [5, Theorem 2.7] that if A > 0 (every element of A is nonnegative), then A has a inonnegative real eigenvalue equal to its spectral radius. If in addition A is irreducible, then this eigeuivalue is positive and simple. If a nonnegative irreducible matrix has k eigenvalues of modulus p(A), then A is said to be k-cyclic if k > I and ...
Hall, C. A., Spanier, Jerome
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SPECTRAL RADIUS, KRONECKER PRODUCTS AND STATIONARITY

Journal of Time Series Analysis, 1992
Abstract. We provide a stochastic proof of the inequality ρ(A⊗A+B⊗B) ≥ρ(A⊗A), where ρ(M) denotes the spectral radius of any square matrix M, i.e. max{|eigenvalues| of M}, and M⊗N denotes the Kronecker product of any two matrices M and N. The inequality is then used to show that stationarity of the bilinear model image will imply stationarity of the ...
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