On colored digraphs with exactly one nonsingular cycle

DOI10.13001/1081-3810.1529zbMath1252.05122OpenAlexW258908936MaRDI QIDQ3166875

Debajit Kalita

Publication date: 1 November 2012

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/256d8bbf42405906dd330ec303281f483ed9c56f

zbMATH Keywords

Laplacian matrixmixed graph3-colored digraphfirst eigenvectorweighted directed graph

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Coloring of graphs and hypergraphs (05C15) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40)

Related Items (4)

Extremizing first eigenvalue of 3-colored digraphs made with given blocks ⋮ Spectral integral variation and unicyclic 3-colored digraphs with second smallest eigenvalue 1 ⋮ On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs ⋮ Oriented gain graphs, line graphs and eigenvalues

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