Distance spectral radius of graphs with r pendent vertices

Linear Algebra and Its Applications

Volumn 435, Issue 11, 2011, Pages 2828-2836

  Bose, Surya Sekhar ^a   Nath, Milan ^a   Paul, Somnath ^a  

^a TEZPUR UNIVERSITY   (India)

Author keywords

Distance matrix; Distance spectral radius; Pendent vertex

Indexed keywords

CONNECTED GRAPH; DISTANCE MATRICES; MINIMAL DISTANCE; PENDENT VERTEX; SPECTRAL RADII;

MATRIX ALGEBRA;

GRAPH THEORY;

EID: 79960843686     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2011.04.041     Document Type: Article

References (20)

1. A.T. Balaban, D. Ciubotariu, and M. Medeleanu Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors J. Chem. Inf. Comput. Sci. 31 1991 517 523
2. K. Balasubramanian Computer generation of distance polynomials of graphs J. Comput. Chem. 11 1990 829 836
3. C 70 based on distance matrices Chem. Phys. Lett. 239 1995 117 123
4. R.B. Bapat Distance matrix and Laplacian of a tree with attached graphs Linear Algebra Appl. 411 2005 295 308 (Pubitemid 41550401)
5. R.B. Bapat, S.J. Kirkland, and M. Neumann On distance matrices and Laplacians Linear Algebra Appl. 401 2005 193 209 (Pubitemid 40467417)
6. V. Consonni, and R. Todeschini New spectral indices for molecule description Match 60 2008 3 14
7. D. Cvetković, M. Doob, and H. Sachs Spectra of Graphs - Theory and Application third ed. 1995 Johann Ambrosius Barth Heidelberg
8. I. Gutman, and M. Medeleanu On the structure-dependence of the largest eigenvalue of the distance matrix of an alkane Indian J. Chem. A 37 1998 569 573 (Pubitemid 128522917)
9. A. Ilić Distance spectral radius of trees with given matching number Discrete Appl. Math. 158 2010 1799 1806
10. G. Indulal Sharp bounds on the distance spectral radius and the distance energy of graphs Linear Algebra Appl. 430 2009 106 113
11. Z. Liu On spectral radius of the distance matrix Appl. Anal. Discrete Math. 4 2010 269 277
12. R. Merris The distance spectrum of a tree J. Graph Theory 14 1990 365 369
13. Z. Mihalić, D. Veljan, D. Amić, S. Nikolić, D. Plavić, and N. Trinajstić The distance matrix in chemistry J. Math. Chem. 11 1992 223 258
14. H.S. Ramane, I. Gutman, and D.S. Revankar Distance equienergetic graphs Match 60 2008 473 484
15. D. Stevanović, and A. Ilić Distance spectral radius of trees with fixed maximum degree Electron. J. Linear Algebra 20 2010 168 179
16. D. Stevanović, and G. Indulal The distance spectrum and energy of the compositions of regular graphs Appl. Math. Lett. 22 2009 1136 1140
17. Pn and the first distance eigenvector of connected graphs Linear and Multilinear Algebra 28 1990 75 81
18. R. Todeschini, and V. Consonni Handbook of Molecular Descriptors 2000 Wiley-VCH Weinheim
19. B. Zhou On the largest eigenvalue of the distance matrix of a tree Match 58 2007 657 662
20. B. Zhou, and N. Trinajstić On the largest eigenvalue of the distance matrix of a connected graph Chem. Phys. Lett. 447 2007 384 387 (Pubitemid 47562406)