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

DOI10.1007/s10587-016-0287-5zbMath1413.05254arXiv1607.05883OpenAlexW2963814803MaRDI QIDQ2828810

Yujie Shu, Lihua You, Xiao Dong Zhang

Publication date: 26 October 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05883

zbMATH Keywords

digraphspectral radiusnonnegative matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)

Related Items (5)

Upper bounds and lower bounds for the spectral radius of reciprocal distance, reciprocal distance Laplacian and reciprocal distance signless Laplacian matrices ⋮ New bounds on the distance Laplacian and distance signless Laplacian spectral radii ⋮ Bounds on the spectral radius of a nonnegative matrix and its applications ⋮ The (distance) signless Laplacian spectral radius of digraphs with given arc connectivity ⋮ A lower bound for the spectral radius of complex matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two Laplacians for the distance matrix of a graph
• Bounds on the index of the signless Laplacian of a graph
• On the Laplacian eigenvalues of a graph
• Bounds on eigenvalues and chromatic numbers
• A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs.
• Two sharp upper bounds for the Laplacian eigenvalues.
• Sharp upper bounds on the spectral radius of graphs
• A new upper bound for the Laplacian spectral radius of graphs
• Upper bound for the Laplacian graph eigenvalues
• Some new bounds on the spectral radius of graphs
• Spectral radius of non-negative matrices and digraphs
• The Laplacian eigenvalues of mixed graphs
• A sharp upper bound on the signless Laplacian spectral radius of graphs
• A note on the upper bounds for the Laplacian spectral radius of graphs
• TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS
• de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph

This page was built for publication: A sharp upper bound for the spectral radius of a nonnegative matrix and applications