On the largest eigenvalue of the distance matrix of a tree

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Volumn 58, Issue 3, 2007, Pages 657-662

  Zhou, Bo ^a  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

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EID: 35248828618     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
2. D. J. Klein, I. Lukovits, I. Gutman, On the definition of the Hyper-Wiener Iindex for cycle-containing structures, J. Chem. Inf. Comput. Sci. 35 (1995) 50-52.
3. I. Gutman, A. A. Dobrynin, S. Klavzar, L. Pavlović, Wiener-type invariants of trees and their relation, Bull. Inst. Combin. Appl. 40 (2004) 23-30.
4. R. Merris, The distance spectrum of a tree, J. Graph Theory 14 (1990) 365-369.
5. B. Mohar, Eigenvalues, diameter, and mean distance in graphs, Graphs Combin. 7 (1991) 53-64.
6. A. T. Balaban, D. Ciubotariu, M. Medeleanu, Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J. Chem. Inf. Comput. Sci. 31 (1991) 517-523.
7. I. Gutman, 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.
8. D. Cvetković, M. Doob, I. Gutman, A. Torgašev, Recent Results in the Theory of Graph Spectra, North-Holland, Amsterdam, 1988.
9. R. L. Graham, H. O. Pollak, On the addressing problem for loop switching, Bell System Tech. J. 50 (1971) 2495-2519.
10. D. Cvetković, M. Doob, H. Sachs, Spectra of Graphs - Theory and Application, Academic Press, New York, 1980.