Some bounds of the generalized \(\mu \)-scrambling indices of primitive digraphs with \(d\) loops

DOI10.1186/s13660-021-02667-yzbMath1504.05115OpenAlexW3184353992MaRDI QIDQ2072915

Feng Liu, Ling Zhang, Zhongshan Li, Gu-Fang Mou

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02667-y

zbMATH Keywords

primitive digraphboundscrambling indexgeneralized \(\mu \)-scrambling index

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• Generalized scrambling indices of a primitive digraph
• A bound on the scrambling index of a primitive matrix using Boolean rank
• Generalized competition index of a primitive digraph
• The scrambling index of symmetric primitive matrices
• Primitive digraphs with the largest scrambling index
• Coefficients of ergodicity and the scrambling index
• The \(m\)-step competition graph of a digraph
• Bounds on the generalized μ-scrambling indices of primitive digraphs
• COMPETITION INDICES OF TOURNAMENTS
• On fully indecomposable exponent for primitive boolean matrices with symmetric ones
• Combinatorial Matrix Theory

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