Spectral integral variation and unicyclic 3-colored digraphs with second smallest eigenvalue 1

DOI10.1016/j.laa.2013.02.027zbMath1282.05123OpenAlexW2015986397MaRDI QIDQ389589

Mohammad Hasan, H. S. Yoon

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.02.027

zbMATH Keywords

Laplacian matrix3-colored digraphweighted directed graphspectral integral variation

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Oriented gain graphs, line graphs and eigenvalues

Cites Work

• On weighted directed graphs
• On spectral integral variations of mixed graphs
• Largest eigenvalue of a unicyclic mixed graphs
• On colored digraphs with exactly one nonsingular cycle
• Matrix Analysis
• Generalized matrix tree theorem for mixed graphs
• Rank one perturbation and its application to the laplacian spectrum of a graph^∗
• Spectral Integral Variations of Degree Maximal Graphs
• A characterization of spectral integral variation in two places for Laplacian matrices
• On Spectral Integral Variations of Graphs
• On the least eigenvalue of a unicyclic mixed graph
• Algebraic connectivity and the characteristic set of a graph
• Characteristic vertices of trees^*

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