• 제목/요약/키워드: Parter-vertex

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CLASSIFICATION OF TREES EACH OF WHOSE ASSOCIATED ACYCLIC MATRICES WITH DISTINCT DIAGONAL ENTRIES HAS DISTINCT EIGENVALUES

  • Kim, In-Jae;Shader, Bryan L.
    • 대한수학회보
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    • 제45권1호
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    • pp.95-99
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    • 2008

  • It is known that each eigenvalue of a real symmetric, irreducible, tridiagonal matrix has multiplicity 1. The graph of such a matrix is a path. In this paper, we extend the result by classifying those trees for which each of the associated acyclic matrices has distinct eigenvalues whenever the diagonal entries are distinct.

  • https://doi.org/10.4134/BKMS.2008.45.1.095 인용 PDF KSCI