On the distance spectral radius of bipartite graphs

Linear Algebra and Its Applications

Volumn 436, Issue 5, 2012, Pages 1285-1296

  Nath, Milan ^a   Paul, Somnath ^a  

^a TEZPUR UNIVERSITY   (India)

Author keywords

Distance matrix; Distance spectral radius; Matching number; Vertex connectivity

Indexed keywords

BIPARTITE GRAPHS; DISTANCE MATRICES; DISTANCE SPECTRAL RADIUS; MATCHING NUMBER; MINIMAL DISTANCE; MINIMUM DISTANCE; SPECTRAL RADII; VERTEX CONNECTIVITY;

GRAPHIC METHODS; MATRIX ALGEBRA;

GRAPH THEORY;

EID: 84855885384     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2011.07.031     Document Type: Article

References (16)

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. S.S. Bose, M. Nath, and S. Paul Distance spectral radius of graphs with r pendent vertices Linear Algebra Appl. 435 2011 2828 2836
7. D. Cvetković, M. Doob, I. Gutman, and A. Torgasev Recent Results in the Theory of Graph Spectra 1988 North-Holland Amsterdam
8. D. Cvetković, M. Doob, and H. Sachs Spectra of Graphs - Theory and Application third ed. 1995 Johann Ambrosius Barth Heidelberg
9. 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)
10. A. Ilić Distance spectral radius of trees with given matching number Discrete Appl. Math. 158 2010 1799 1806
11. G. Indulal Sharp bounds on the distance spectral radius and the distance energy of graphs Linear Algebra Appl. 430 2009 106 113
12. Z. Liu On spectral radius of the distance matrix Appl. Anal. Discrete Math. 4 2010 269 277
13. R. Merris The distance spectrum of a tree J. Graph Theory 14 1990 365 369
14. D. Stevanović, and A. Ilić Distance spectral radius of trees with fixed maximum degree Electron. J. Linear Algebra 20 2010 168 179
15. Pn and the first distance eigenvector of connected graphs Linear and Multilinear Algebra 28 1990 75 81
16. B. Zhou, and A. Ilić On distance spectral radius and distance energy of graphs MATCH Commun. Math. Comput. Chem. 64 2010 261 280