A Simple Method for Computing Resistance Distance

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 58, Issue 9-10, 2003, Pages 494-498

  Bapat, Ravindra B ^a   Gutman, Ivan ^b,c,d   Xiao, Wenjun ^c,d  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

^c XIAMEN UNIVERSITY   (China)

^d SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Kirchhoff Index; Laplacian Matrix; Molecular Graph; Resistance Distance

Indexed keywords

EID: 0242491737     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2003-9-1003     Document Type: Article

References (33)

1. R. E. Merrifleld and H. E. Simmons, Theor. Chim. Acta 55, 55 (1980).
2. R. E. Merrifield and H. E. Simmons, Topological Methods in Chemistry, Wiley, New York 1989.
3. I. Gutman and O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin 1986, pp. 12-16.
4. O. E. Polansky, Z. Naturforsch. 41a, 560 (1986).
5. M. Zander, Z. Naturforsch. 45a, 1041 (1990).
6. B. Lučić, I. Lukovits, S. Nikolić, and N. Trinajstić, J. Chem. Inf. Comput. Sci. 41, 527 (2001).
7. A. A. Dobrynin, R. Entringer, and I. Gutman, Acta Appl. Math. 66, 211 (2001).
8. A. A. Dobrynin, I. Gutman, S. Klavžar, and P. Žigert, Acta Appl. Math. 72, 247 (2002).
9. D. H. Rouvray and W. Tatong, Z. Naturforsch. 41a, 1238 (1986).
10. I. Gutman and T. Körtvélyesi, Z. Naturforsch. 50a, 669 (1995).
11. I. Gutman and I. G. Zenkevich, Z. Naturforsch. 57a, 824 (2002).
12. D. J. Klein and M. Randić, J. Math. Chem. 12, 81 (1993).
13. D. Bonchev, A. T. Balaban, X. Liu, and D. J. Klein, Int. J. Quantum Chem. 50, 1 (1994).
14. H. Y. Zhu, D. J. Klein, and I. Lukovits, J. Chem. Inf. Comput. Sci. 36, 420 (1996).
15. I. Gutman and B. Mohar, J. Chem. Inf. Comput. Sci. 36, 982 (1996).
16. D. J. Klein, MATCH Commun. Math. Comput. Chem. 35, 7 (1997).
17. I. Lukovits, S. Nikolić, and N. Trinajstić, Int. J. Quantum Chem. 71, 217 (1999).
18. D. J. Klein and O. Ivanciuc, J. Math. Chem. 30, 271 (2001).
19. J. L. Palacios, Int. J. Quantum Chem. 81, 29 (2001).
20. D. J. Klein, Croat. Chem. Acta 75, 633 (2002).
21. D. Babić, D. J. Klein, I. Lukovits, S. Nikolić, and N. Trinajstić, Int. J. Quantum Chem. 90, 161 (2002).
22. W. J. Xiao and I. Gutman, MATCH Commun. Math. Comput. Chem. 49, 67 (2003).
23. W. J. Xiao and I. Gutman, Theor. Chim. Acta, in press.
24. B. Bollobás, Modern Graph Theory, Springer-Verlag, New York 1998, Chapter 9.
25. R. B. Bapat, Math. Student 68, 87 (1999).
26. D. M. Cvetković, M. Doob, and H. Sachs, Spectra of Graphs-Theory and Application, Academic Press, New York 1980.
27. R. B. Bapat, Math. Student 65, 214 (1996).
28. R. B. Bapat and D. M. Kulkarni, in: D. V. Huynh, S. K. Jain, and S. R. Lopez-Permouth (Eds.), Algebra and Its Applications, Amer. Math. Soc., Providence 2000, pp. 45-66.
29. I. Gutman and R. B. Mallion, Z. Naturforsch. 48a, 1026 (1993).
30. R. Grone, R. Merris, and V. S. Sunder, SIAM J. Matrix Anal. Appl. 11, 218 (1990).
31. R. Merris, Lin. Algebra Appl. 197, 143 (1994).
32. R. Merris and I. Gutman, Z. Naturforsch. 55a, 973 (2000).
33. I. Gutman, D. Vidović, and B. Furtula, Indian J. Chem. 42A, 1272 (2003).