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Volumn 370, Issue SUPP, 2003, Pages 175-184

Ordering trees by their largest eigenvalues

Author keywords

Characteristic polynomial; Eigenvalue; Tree; Upper bound

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR ALGEBRA; POLYNOMIALS;

EID: 0038638347     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(03)00384-7     Document Type: Article
Times cited : (31)

References (9)
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    • Hofmeister, M.1
  • 2
    • 0038580946 scopus 로고
    • The second largest eigenvalue of a tree
    • Neumaier A. The second largest eigenvalue of a tree. Linear Algebra Appl. 46:1982;9-25.
    • (1982) Linear Algebra Appl. , vol.46 , pp. 9-25
    • Neumaier, A.1
  • 3
    • 0038580950 scopus 로고
    • Bounds on the k th eigenvalues of trees and forests
    • Shao J.Y. Bounds on the. k th eigenvalues of trees and forests Linear Algebra Appl. 149:1991;19-34.
    • (1991) Linear Algebra Appl. , vol.149 , pp. 19-34
    • Shao, J.Y.1
  • 4
    • 0006796947 scopus 로고
    • On the largest eigenvalue of graphs
    • in Chinese
    • Li Q., Feng K.Q. On the largest eigenvalue of graphs. Acta Math. Appl. Sinica. 2:1979;167-175. in Chinese.
    • (1979) Acta Math. Appl. Sinica , vol.2 , pp. 167-175
    • Li, Q.1    Feng, K.Q.2
  • 5
    • 0038242176 scopus 로고
    • Some possible directions in further investigations of graph spectra
    • North-Holland, Amsterdam
    • D. Cvetković, Some possible directions in further investigations of graph spectra, in: Algebra Methods in Graph Theory, vol. 1, North-Holland, Amsterdam, 1981, pp. 47-67.
    • (1981) Algebra Methods in Graph Theory , vol.1 , pp. 47-67
    • Cvetković, D.1
  • 6
    • 0037904724 scopus 로고    scopus 로고
    • On the spectral radius of trees with perfect matchings
    • World Scientific, Singapore
    • G.H. Xu, On the spectral radius of trees with perfect matchings, in: Combinatorics and Graph Theory, World Scientific, Singapore, 1997.
    • (1997) Combinatorics and Graph Theory
    • Xu, G.H.1
  • 7
    • 0035874043 scopus 로고    scopus 로고
    • On the spectral radius of trees
    • Guo J.M., Tan S.W. On the spectral radius of trees. Linear Algebra Appl. 329:2001;1-8.
    • (2001) Linear Algebra Appl. , vol.329 , pp. 1-8
    • Guo, J.M.1    Tan, S.W.2
  • 9
    • 0038141233 scopus 로고    scopus 로고
    • On the largest eigenvalue of a tree with perfect matchings
    • in press
    • An Chang, On the largest eigenvalue of a tree with perfect matchings, Discrete Mathematics, in press.
    • Discrete Mathematics
    • Chang, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.