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Volumn 11, Issue , 2004, Pages 41-50

On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices

Author keywords

Acyclic matrices; Binary trees; Eigenvalues; Graphs; Symmetric matrices

Indexed keywords


EID: 3042667875     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1120     Document Type: Article
Times cited : (43)

References (10)
  • 4
    • 31244434925 scopus 로고    scopus 로고
    • On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
    • C.R. Johnson and A. Leal Duarte. On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree. Linear Algebra Appl., 348:7-21, 2002.
    • (2002) Linear Algebra Appl. , vol.348 , pp. 7-21
    • Johnson, C.R.1    Leal Duarte, A.2
  • 5
    • 26444609191 scopus 로고    scopus 로고
    • The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
    • C.R. Johnson and A. Leal Duarte. The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Linear Multilinear Algebra, 46:139-144, 1999.
    • (1999) Linear Multilinear Algebra , vol.46 , pp. 139-144
    • Johnson, C.R.1    Leal Duarte, A.2
  • 6
    • 84867974280 scopus 로고    scopus 로고
    • On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
    • C.R. Johnson, A. Leal Duarte, C.M. Saiago, B.D. Sutton, and A.J. Witt. On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph. Linear Algebra Appl., 363:147-159, 2003.
    • (2003) Linear Algebra Appl. , vol.363 , pp. 147-159
    • Johnson, C.R.1    Leal Duarte, A.2    Saiago, C.M.3    Sutton, B.D.4    Witt, A.J.5
  • 7
    • 0039742217 scopus 로고
    • Construction of acyclic matrices from spectral data
    • A. Leal Duarte. Construction of acyclic matrices from spectral data. Linear Algebra Appl., 113:173-182, 1989.
    • (1989) Linear Algebra Appl. , vol.113 , pp. 173-182
    • Leal Duarte, A.1
  • 8
    • 0036000461 scopus 로고    scopus 로고
    • On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree
    • A. Leal Duarte and C.R. Johnson. On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree. Math. Inequal. Appl., 5:175-180, 2002.
    • (2002) Math. Inequal. Appl. , vol.5 , pp. 175-180
    • Leal Duarte, A.1    Johnson, C.R.2
  • 9
    • 0010106359 scopus 로고
    • On the eigenvalues and eigenvectors of a class of matrices
    • S. Parter. On the eigenvalues and eigenvectors of a class of matrices. J. Soc. Indust. Appl. Math., 8:376-388, 1960.
    • (1960) J. Soc. Indust. Appl. Math. , vol.8 , pp. 376-388
    • Parter, S.1
  • 10
    • 38549137766 scopus 로고
    • Spectral multiplicity and splitting results for a class of qualitative matrices
    • G. Wiener. Spectral multiplicity and splitting results for a class of qualitative matrices. Linear Algebra Appl., 61:15-29, 1984.
    • (1984) Linear Algebra Appl. , vol.61 , pp. 15-29
    • Wiener, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.