Randic matrix and randić energy

Match

Volumn 64, Issue 1, 2010, Pages 239-250

  Burcu Bozkurt, S ^a   Dilek Gungor A ^a   Gutman, Ivan ^b   Sinan Cevik A ^a  

^a SELCUK UNIVERSITY   (Turkey)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956585952     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. M. Randić, On characterization of molecular branching, J. Am. Chem. Soc. 97 (1975) 6609-6615.
2. L. Pogliani, From molecular connectivity indices to semiempirical connectivity terms: Recent trends in graph theoretical descriptors, Chem. Rev. 100 (2000) 3827-3858.
3. M. Randić, The connectivity index 25 years after, J. Mol. Graphics Modell. 20 (2001) 19-35.
4. X. Li, I. Gutman, Mathematical Aspects of Randić-type Molecular Structure Descriptors, Univ. Kragujevac, Kragujevac, 2006.
5. M. Randić, On history of the Randić index and emerging hostility toward chemical graph theory, MATCH Commun. Math. Comput. Chem. 59 (2008) 5-124.
6. X. Li, Y. Shi, A survey on the Randić index, MATCH Commun. Math. Comput. Chem. 59 (2008) 127-156.
7. I. Gutman, B. Furtula (Eds.), Recent Results in the Theory of Randić Index, Univ. Kragujevac, Kragujevac, 2008.
8. O. Araujo, J. A. de la Peña, The connectivity index of a weighted graph, Lin. Algebra Appl. 283 (1998) 171-177.
9. O. Araujo, J. A. de la Peña, Some bounds for the connectivity index of a chemical graph, J. Chem. Inf. Comput. Sci. 38 (1998) 827-831.
10. J. A. Rodriguez, A spectral approach to the Randić index, Lin. Algebra Appl. 400 (2005) 339-344.
11. J. A. Rodríguez, J. M. Sigarreta, On the Randić index and conditional parameters of a graph, MATCH Commun. Math. Comput. Chem. 54 (2005) 403-416.
12. A. Graovac, I. Gutman, N. Trinajstić, Topological Approach to the Chemistry of Conjugated Molecules, Springer-Verlag, Berlin, 1977.
13. D. Cvetković, M. Doob, H. Sachs, Spectra of Graphs - Theory and Application, Academic Press, 1980.
14. N. Trinajstić, Chemical Graph Theory, CRC Press, Boca Raton, 1983.
15. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1988.
16. J. R. Dias, Molecular Orbital Calculations Using Chemical Graph Theory, Springer-Verlag, Berlin, 1993.
17. D. Cvetković, P. Rowlinson, S. K. Simić, Introduction to the Theory of Graph Spectra, Cambridge Univ. Press, Cambridge, 2010.
18. 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.
19. I. Gutman, Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology, J. Serb. Chem. Soc. 70 (2005) 441-456.
20. I. Gutman, X. Li, J. Zhang, Graph energy, in: M. Dehmer, F. Emmert-Streib (Eds.), Analysis of Complex Networks. From Biology to Linguistics, Wiley-VCH, Weinheim, 2009, pp. 145-174.
21. S. Majstorović, A. Klobučar, I. Gutman, Selected topics from the theory of graph energy: hypoenergetic graphs, in: D. Cvetković, I. Gutman (Eds.), Applications of Graph Spectra, Math. Inst., Belgrade, 2009, pp. 65-105.
22. I. Gutman, B. Zhou, Laplacian energy of a graph, Lin. Algebra Appl. 414 (2006) 29-37.
23. B. Zhou, I. Gutman, On Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 211-220.
24. G. Indulal, I. Gutman, A. Vijayakumar, On distance energy of graphs, MATCH Commun. Math. Comput. Chem. 60 (2008) 461-472.
25. H. S. Ramane, I. Gutman, D. S. Revankar, Distance equienergetic graphs, MATCH Commun. Math. Comput. Chem. 60 (2008) 473-484.
26. V. Consonni, R. Todeschini, New spectral indices for molecule description, MATCH Commun. Math. Comput. Chem. 60 (2008) 3-14.
27. V. Nikiforov, The energy of graphs and matrices, J. Math. Anal. Appl. 326 (2007) 1472-1475.
28. M. R. Jooyandeh, D. Kiani, M. Mirzakhah, Incidence energy of a graph, MATCH Commun. Math. Comput. Chem. 62 (2009) 561-572.
29. I. Gutman, D. Kiani, M. Mirzakhah, On incidence energy of graphs, MATCH Commun. Math. Comput. Chem. 62 (2009) 573-580.
30. R. Grone, R. Merris, V. S. Sunder, The Laplacian spectrum of a graph, SIAM J. Matrix Anal. Appl. 11 (1990) 218-238.
31. B. Mohar, The Laplacian spectrum of graphs, in: Y. Alavi, G. Chartrand, O. R. Oellermann, A. J. Schwenk (Eds.), Graph Theory, Combinatorics, and Applications, Wiley, New York, 1991, pp. 871-898.
32. R. Grone, R. Merris, The Laplacian spectrum of a graph II, SIAM J. Discr. Math. 7 (1994) 221-229.
33. R. Merris, Laplacian matrices of graphs: A survey, Lin. Algebra Appl. 197-198 (1994) 143-176.
34. R. Merris, A survey of graph Laplacians, Lin. Multilin. Algebra 39 (1995) 19-31.
35. B. Mohar, Graph Laplacians, in: L. W. Beineke, R. J. Wilson (Eds.), Topics in Algebraic Graph Theory, Cambridge Univ. Press, Cambridge, 2004, pp. 113-136.
36. F. R. K. Chung, Spectral Graph Theory, Am. Math. Soc., Providence, 1997.
37. A. Milic̃ević, S. Nikolié, N. Trinajstić, On reformulated Zagreb indices, Mol. Diversity 8 (2004) 393-399.
38. J. Rada, A. Tineo, Upper and lower bounds for the energy of bipartite graphs, J. Math. Anal. Appl. 289 (2004) 446-455. (Pubitemid 38130987)
39. J. A. de la Peña, L. Mendoza, J. Rada, Comparing momenta and π-electron energy of benzenoid molecules, Discr. Math. 302 (2005) 77-84. (Pubitemid 41605415)
40. B. Zhou, I. Gutman, J. A. de la Peña, J. Rada, L. Mendoza, On spectral moments and energy of graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 183-191.
41. I. Gutman, On graphs whose energy exceeds the number of vertices, Lin. Algebra Appl. 429 (2008) 2670-2677.