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On trees with exactly one characteristic element

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Publication:869893
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DOI10.1016/j.laa.2006.04.016zbMath1115.05055OpenAlexW2060786369MaRDI QIDQ869893

Yi-Zheng Fan, Shi-Cai Gong, Yi Wang, Yu-Bin Gao

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.04.016


zbMATH Keywords

eigenvalueeigenvectorLaplacian matrix


Mathematics Subject Classification ID

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


Related Items (2)

The property of maximal eigenvectors of trees ⋮ First eigenvalue and first eigenvectors of a nonsingular unicyclic mixed graph



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Laplace eigenvalues of graphs---a survey
  • Laplacian matrices of graphs: A survey
  • The third smallest eigenvalue of the Laplacian matrix
  • Matrix Analysis
  • Eigenvectors of acyclic matrices
  • Algebraic connectivity and the characteristic set of a graph
  • Characteristic vertices of trees*
  • A relation between the matching number and Laplacian spectrum of a graph


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