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A sharp upper bound for the spectral radius of a nonnegative matrix and applications [PDF]

open access: yesCzechoslovak Mathematical Journal, 2016
summary:We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance ...
, Lihua You, You Lihua
exaly   +3 more sources

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
openaire   +2 more sources

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
openaire   +2 more sources

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