Minimum dominating reduced second zagreb energy of graph
DOI:
https://doi.org/10.5269/bspm.77132Abstract
The energy of graph which is rooted in spectral graph theory, continues to play a pivotal role in structural graph analysis. Motivated by the concept of energy, in this paper we discuss minimum dominating reduced second Zagreb energy. Here we present the most essential upper and lower bounds for RMD 2 E(G). We generalized the energy for several graph classes.
References
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2. Furtula B., Gutman, I. Ediz, S., On difference of Zagreb indices, Discrete Appl. Math. 178 (2014), 83–88
3. Estrada, E., Torres, L., Rodriguez, L., Gutman, I.,(1998), An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes, Indian J. Chem, 37A, 849-855.
4. Gutman, I.,(2021), Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem, 86, 11–16.
5. Gutman, I.,(1978), The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103, 1-22.
6. Gutman, I.,(2021), The energy of a graph: old and new results, Combinatorics and applications, A. Betten, A. Khoner, R.Laue and A. Wassermann, eds., Springer, Berlin, pp. 196-211.
7. Meyer C. D, Matrix Analysis and Applied Linear Algebra, SIAM, Philadelphia, 2000.
8. R. Pradeep Kumar, D. Soner Nandappa, and M. R. Rajesh Kanna, Minimum Dominating Partition Energy of a Graph, International Journal of Mathematics And its Applications, 5(7) (2017), 857–865.
9. Prakasha, K.N., Reddy, P.S.K., Cangul, I.N., Purushotham, S, (2024), Atom bond-connectivity energy of a graph, TWMS J. App. and Eng. Math. V.14, N.4, pp. 1689-1704
10. Prakasha, K.N., Reddy, P.S.K., Cangul, I.N.,(2019), Sum-connectivity energy of graphs, Adv. Math. Sci. Appl, 28(1), 85-98
11. Prakasha, K.N., Mahalank, P., Cangul, I.N. Minimum Equitable Dominating Harary Energy of a Graph, Proceedings of the Jangjeon Mathematical Society, 2024, 27(1), pp. 65–72
12. Siva Kota Reddy P., Prakasha K. N., Siddalingaswamy V. M. Minimum Dominating Randic Energy of a Graph,Vladikavkaz Mathematical Journal 2017. Vol. 19. Issue 2. 28-35.
13. Randi´c, M.,(1975), On characterization of molecular branching, J. Am.Chem. Soc, 97, 6609-6615.
14. Todeschini, R., Consonni, V.,(2009), Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, pp. 161-172.
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Published
2025-08-24
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How to Cite
Anitha, H. ., Prakasha, K. N., Natesha, M. K., & Shanmukha, B. . (2025). Minimum dominating reduced second zagreb energy of graph. Boletim Da Sociedade Paranaense De Matemática, 43, 1-7. https://doi.org/10.5269/bspm.77132
