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Volumn 418, Issue 2-3, 2006, Pages 450-456

Ordering trees by their largest eigenvalues

Author keywords

Characteristic polynomial; Eigenvalue; Ordering; Spectral radius; Tree

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING; THEOREM PROVING;

EID: 33748148655     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.02.035     Document Type: Article
Times cited : (33)

References (15)
  • 1
    • 0042126832 scopus 로고    scopus 로고
    • On the two largest eigenvalues of trees
    • Hofmeister M. On the two largest eigenvalues of trees. Linear Algebra Appl. 260 (1997) 43-59
    • (1997) Linear Algebra Appl. , vol.260 , pp. 43-59
    • Hofmeister, M.1
  • 2
    • 0038638347 scopus 로고    scopus 로고
    • Ordering trees by their largest eigenvalues
    • Chang An., and Huang Q. Ordering trees by their largest eigenvalues. Linear Algebra Appl. 370 (2003) 175-184
    • (2003) Linear Algebra Appl. , vol.370 , pp. 175-184
    • Chang, An.1    Huang, Q.2
  • 3
    • 0038141233 scopus 로고    scopus 로고
    • On the largest eigenvalue of a tree with perfect matchings
    • Chang An. On the largest eigenvalue of a tree with perfect matchings. Discrete Math. 269 (2003) 45-63
    • (2003) Discrete Math. , vol.269 , pp. 45-63
    • Chang, An.1
  • 4
    • 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
  • 5
    • 0038580950 scopus 로고
    • Bounds on the kth eigenvalues of trees and forests
    • Shao J.Y. Bounds on the kth 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
  • 6
    • 0037904724 scopus 로고    scopus 로고
    • On the spectral radius of trees with perfect matchings
    • World Scientific, Singapore
    • Xu G.H. On the spectral radius of trees with perfect matchings. Combinatorics and Graph Theory (1997), World Scientific, Singapore
    • (1997) Combinatorics and Graph Theory
    • Xu, G.H.1
  • 7
    • 29344453948 scopus 로고    scopus 로고
    • On the spectral radius of trees
    • Guo J.M., and 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
  • 8
    • 84867968386 scopus 로고    scopus 로고
    • Bounding the largest eigenvalue of trees in terms of the largest vertex degree
    • Stevanović D. Bounding the largest eigenvalue of trees in terms of the largest vertex degree. Linear Algebra Appl. 360 (2003) 35-42
    • (2003) Linear Algebra Appl. , vol.360 , pp. 35-42
    • Stevanović, D.1
  • 9
    • 20344362633 scopus 로고    scopus 로고
    • Improved bounds for the largest eigenvalue of trees
    • Rojo O. Improved bounds for the largest eigenvalue of trees. Linear Algebra Appl. 404 (2005) 297-304
    • (2005) Linear Algebra Appl. , vol.404 , pp. 297-304
    • Rojo, O.1
  • 10
    • 0006796947 scopus 로고
    • On the largest eigenvalues of graphs
    • (in Chinese)
    • Li Q., and Feng K.Q. On the largest eigenvalues 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
  • 13
    • 0001903362 scopus 로고
    • On the eigenvalues of a graph
    • Beineke L.W., and Wilson R.J. (Eds), Academic Press, New York
    • Schwenk A.J., and Wilsion R.J. On the eigenvalues of a graph. In: Beineke L.W., and Wilson R.J. (Eds). Selected Topics in Graph Theory (1978), Academic Press, New York 307-336
    • (1978) Selected Topics in Graph Theory , pp. 307-336
    • Schwenk, A.J.1    Wilsion, R.J.2
  • 14
    • 0038242176 scopus 로고
    • Some possible directions in further investigations of graph spectra
    • North-Holland, Amsterdam
    • Cvetković D. Some possible directions in further investigations of graph spectra. Algebra Methods in Graph Theory vol. 1 (1981), North-Holland, Amsterdam 47-67
    • (1981) Algebra Methods in Graph Theory , vol.1 , pp. 47-67
    • Cvetković, D.1
  • 15
    • 0001806442 scopus 로고
    • Permanent of the Laplacian matrix of trees and bipartite graphs
    • Brualdi R.A., and Goldwasser J.L. Permanent of the Laplacian matrix of trees and bipartite graphs. Discrete Math. 48 (1984) 1-21
    • (1984) Discrete Math. , vol.48 , pp. 1-21
    • Brualdi, R.A.1    Goldwasser, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.