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Volumn 431, Issue 11, 2009, Pages 2195-2202

Laplacian coefficients of trees with given number of leaves or vertices of degree two

Author keywords

Laplacian coefficients; Laplacian matrix; Pendent vertices; Starlike trees; Wiener index

Indexed keywords

LAPLACIAN COEFFICIENTS; LAPLACIAN MATRIX; PENDENT VERTICES; STARLIKE TREES; WIENER INDEX;

EID: 70049088643     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2009.07.014     Document Type: Article
Times cited : (31)

References (28)
  • 3
    • 0035329265 scopus 로고    scopus 로고
    • Wiener index of trees: theory and applications
    • Dobrynin A., Entringer R., and Gutman I. Wiener index of trees: theory and applications. Acta Appl. Math. 66 (2001) 211-249
    • (2001) Acta Appl. Math. , vol.66 , pp. 211-249
    • Dobrynin, A.1    Entringer, R.2    Gutman, I.3
  • 5
    • 0000958261 scopus 로고
    • Some recent results in the theory of the Wiener index
    • Gutman I., Yeh Y.N., Lee S.L., and Luo Y.L. Some recent results in the theory of the Wiener index. Indian J. Chem. 32A (1993) 651-661
    • (1993) Indian J. Chem. , vol.32 A , pp. 651-661
    • Gutman, I.1    Yeh, Y.N.2    Lee, S.L.3    Luo, Y.L.4
  • 6
    • 0011983412 scopus 로고    scopus 로고
    • The energy of a graph: Old and new results
    • A. Betten, A. Kohnert, R. Laue, A. Wassermann Eds, Springer-Verlag, Berlin
    • I. Gutman, The energy of a graph: old and new results, in: A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.), Algebraic Combinatorics and Applications, Springer-Verlag, Berlin, 2001, pp. 196-211.
    • (2001) Algebraic Combinatorics and Applications , pp. 196-211
    • Gutman, I.1
  • 7
    • 1442265632 scopus 로고    scopus 로고
    • Hyper-Wiener index and Laplacian spectrum
    • Gutman I. Hyper-Wiener index and Laplacian spectrum. J. Serb. Chem. Soc. 68 (2003) 949-952
    • (2003) J. Serb. Chem. Soc. , vol.68 , pp. 949-952
    • Gutman, I.1
  • 11
    • 34547923748 scopus 로고    scopus 로고
    • Unicyclic graphs with given number of pendent vertices and minimal energy
    • Hua H., and Wang M. Unicyclic graphs with given number of pendent vertices and minimal energy. Linear Algebra Appl. 426 (2007) 478-489
    • (2007) Linear Algebra Appl. , vol.426 , pp. 478-489
    • Hua, H.1    Wang, M.2
  • 12
    • 70049109782 scopus 로고    scopus 로고
    • On the Wiener index and Laplacian coefficients of graphs with given diameter or radius
    • Ilić A., Ilić A., and Stevanović D. On the Wiener index and Laplacian coefficients of graphs with given diameter or radius. MATCH Commun. Math. Comput. Chem. 63 (2010) 91-100
    • (2010) MATCH Commun. Math. Comput. Chem. , vol.63 , pp. 91-100
    • Ilić, A.1    Ilić, A.2    Stevanović, D.3
  • 15
    • 70049095455 scopus 로고    scopus 로고
    • On the minimal energy of trees with a given number of vertices of degree two
    • Lin X., and Guo X. On the minimal energy of trees with a given number of vertices of degree two. MATCH Commun. Math. Comput. Chem. 62 (2009) 473-480
    • (2009) MATCH Commun. Math. Comput. Chem. , vol.62 , pp. 473-480
    • Lin, X.1    Guo, X.2
  • 16
    • 39149138125 scopus 로고    scopus 로고
    • A Laplacian-energy-like invariant of a graph
    • Liu J., and Liu B. A Laplacian-energy-like invariant of a graph. MATCH Commun. Math. Comput. Chem. 59 (2008) 397-419
    • (2008) MATCH Commun. Math. Comput. Chem. , vol.59 , pp. 397-419
    • Liu, J.1    Liu, B.2
  • 17
    • 33847272256 scopus 로고    scopus 로고
    • On the Laplacian coefficients of acyclic graphs
    • Mohar B. On the Laplacian coefficients of acyclic graphs. Linear Algebra Appl. 722 (2007) 736-741
    • (2007) Linear Algebra Appl. , vol.722 , pp. 736-741
    • Mohar, B.1
  • 18
    • 33847273846 scopus 로고    scopus 로고
    • Starlike trees are determined by their Laplacian spectrum
    • Omidi G.R., and Tajbakhsh K. Starlike trees are determined by their Laplacian spectrum. Linear Algebra Appl. 422 (2007) 654-658
    • (2007) Linear Algebra Appl. , vol.422 , pp. 654-658
    • Omidi, G.R.1    Tajbakhsh, K.2
  • 20
    • 61849108196 scopus 로고    scopus 로고
    • On the Laplacian coefficients of unicyclic graphs
    • Stevanović D., and Ilić A. On the Laplacian coefficients of unicyclic graphs. Linear Algebra Appl. 430 (2009) 2290-2300
    • (2009) Linear Algebra Appl. , vol.430 , pp. 2290-2300
    • Stevanović, D.1    Ilić, A.2
  • 22
    • 33644861407 scopus 로고    scopus 로고
    • Connections between Wiener index and matchings
    • Yan W., and Yeh Y.N. Connections between Wiener index and matchings. J. Math. Chem. 39 (2006) 389-399
    • (2006) J. Math. Chem. , vol.39 , pp. 389-399
    • Yan, W.1    Yeh, Y.N.2
  • 23
    • 33847638093 scopus 로고    scopus 로고
    • On the minimal energy of trees with a given number of pendent vertices
    • Ye L., and Yuan X. On the minimal energy of trees with a given number of pendent vertices. MATCH Commun. Math. Comput. Chem. 57 (2007) 193-201
    • (2007) MATCH Commun. Math. Comput. Chem. , vol.57 , pp. 193-201
    • Ye, L.1    Yuan, X.2
  • 24
    • 33748137733 scopus 로고    scopus 로고
    • Minimal energy on trees with k pendent vertices
    • Yu A., and Lv X. Minimal energy on trees with k pendent vertices. Linear Algebra Appl. 418 (2006) 625-633
    • (2006) Linear Algebra Appl. , vol.418 , pp. 625-633
    • Yu, A.1    Lv, X.2
  • 25
    • 10444219559 scopus 로고    scopus 로고
    • The spectral radius of trees on k pendant vertices
    • Wu B., Xiao E., and Hong Y. The spectral radius of trees on k pendant vertices. Linear Algebra Appl. 395 (2005) 343-349
    • (2005) Linear Algebra Appl. , vol.395 , pp. 343-349
    • Wu, B.1    Xiao, E.2    Hong, Y.3
  • 27
    • 70049112467 scopus 로고    scopus 로고
    • On minimal energies of non-starlike trees with given number of pendent vertices
    • Zhang J., and Zhou B. On minimal energies of non-starlike trees with given number of pendent vertices. MATCH Commun. Math. Comput. Chem. 62 (2009) 481-490
    • (2009) MATCH Commun. Math. Comput. Chem. , vol.62 , pp. 481-490
    • Zhang, J.1    Zhou, B.2
  • 28
    • 38349149310 scopus 로고    scopus 로고
    • A connection between ordinary and Laplacian spectra of bipartite graphs
    • Zhou B., and Gutman I. A connection between ordinary and Laplacian spectra of bipartite graphs. Linear and Multilinear Algebra 56 (2008) 305-310
    • (2008) Linear and Multilinear Algebra , vol.56 , pp. 305-310
    • Zhou, B.1    Gutman, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.