Some notes on Randi´c index
DOI:
https://doi.org/10.5269/bspm.47213Abstract
In this paper we establish new inequalities involving Randi$\acute{c}$ index, weigthed Randi$\acute{c}$ index and general Randi$\acute{c}$ index in terms of the eigenvalues, the number of edges, the number of vertices, the energy and vertex degrees.
References
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2. R. B. Bapat, Graphs and Matrices, Indian Statistical Institute, New Delhi (2014). https://doi.org/10.1007/978-1-4471-6569-9
3. K. C. Das, I. Gutman, Bounds for the Energy of Graphs, Hacettepe Journal of Mathematics and Statistics 45 (3), 695-703 (2016). https://doi.org/10.15672/HJMS.20164513097
4. I. Gutman and B. Furtula (Eds.), Recent Results in the Theory of Randic Index, Univ. Kragujevac (2008).
5. G. Kaya Gok, Some Bounds on the Distance-Sum-Connectivity Matrix, Journal of Inequalities and Applications 171 (2018). https://doi.org/10.1186/s13660-018-1766-z
6. G. Kaya Gok and S. Buyukkose, Graph Operations of Randic Index, AIP Conference Proceedings 1926 (2018).
7. X. Li and I. Gutman, Mathematical Aspects of Randic-Type Molecular Structure Descriptors, Univ. Kragujevac (2006).
8. X. Li and Y. Shi, A survey on the Randic' index, MATCH Commun. Math. Comput. Chem. 59, 127-156 (2008).
9. H. Liu, M. Lu and F. Tian, On the Randic' index, Journal of Mathematical Chemistry 38 (3) (2005). https://doi.org/10.1007/s10910-005-5824-7
10. M. Randic, On characterization of molecular branching, J. Amer. Chem. Soc. 97, 6609-6615 (1975). https://doi.org/10.1021/ja00856a001
11. C. Vasudev, Graph Theory With Applications, New Delhi-India: New Age International Publishers 4-5, 21, 56-57 (2006).
12. D. B. Werst, Introduction to Graph Theory, Prentice-Hall, Upper Saddle River, NJ (1996).
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2022-01-24
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