On a new variant Sombor matrix and energy of total transformation graphs of regular graphs
*R. G. VeereshaCorresponding authorveeru.rg@gmail.comDepartment of MathematicsSri Jayachamarajendra College of Engineering, ManasagangotriJ S S Science and Technology UniversityMysuru, Karnataka, 570006, IndiaView full profile → , Siddarajusiddupalya73@gmail.comDepartment of MathematicsGovernment First Grade College for WomenChamarajanagara, Karnataka, 571313, IndiaView full profile → , Nanjundaswamy Mmnswamy1974@gmail.comDepartment of MathematicsByrapura, T Narasipur TalukGovernment First Grade College for WomenMysore District, Karnataka, 571124, IndiaView full profile → , R. Sujatharsujatha@sjce.ac.inDepartment of MathematicsSri Jayachamarajendra College of Engineering, ManasagangotriJ S S Science and Technology UniversityMysuru, Karnataka, 570006, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 13 Jan 2025
- Published Online:
- 23 Jan 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2052
- Pages:
- 727ā740
Abstract
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References
[1] B. Basavanagoud and E. Chitra, āDegree square sum energy of graphs,ā J. Math. Appl., vol. 6, pp. 193-205 (2018).
[2] B. Basavanagoud and S. Policepatil, āCombined degree sum energy of graphs,ā Ann. Math. Comput. Sci., vol. 6, pp. 58-79 (2022).
[3] D. S. Revankar, J. B. Veeragoudar and M. M. Patil, āOn the degree sum energy of total transformation graphs of regular graphs,ā J. Inf. Optim. Sci., vol. 44, pp. 217-229 (2023).
[4] F. Harary, Graph Theory. Reading, MA: Addison-Wesley (1969).
[5] G. Indulal, I. Gutman and A. Vijayakumar, āOn distance energy of graphs,ā MATCH Commun. Math. Comput. Chem., vol. 60, pp. 461-472 (2008).
[6] I. Gutman and N. Trinajsticā, āGraph theory and molecular orbitals. Total Ļ-electron energy of alternate hydrocarbons,ā Chem. Phys. Lett., vol. 17, pp. 535-538 (1972).
[7] I. Gutman, āThe energy of a graph,ā Ber. Math-Statist. Sekt. Forschungszentrum Graz., vol. 103, pp. 1-22 (1978).
[8] K. C. Das and S. Sorgun, āOn Randic energy of graphs,ā MATCH Commun. Math. Comput. Chem., vol. 72, no. 1, pp. 227-238 (2014).
[9] H. S. Ramane, D. S. Revankar and J. B. Patil, āBounds for the degree sum eigenvalue and degree sum energy of a graph,ā Int. J. Pure Appl. Math. Sci., vol. 6, no. 2, pp. 161-167 (2013).
[10] H. S. Ramane and S. S. Shinde. āDegree exponent polynomial of graphs obtained by some graph operationsāā, Electronic Notes in Discrete Mathematics, vol. 63, pp. 161-168 (2017).
[11] S. M. Hosamani and I. Gutman, āZagreb indices of transformation graphs and total transformation graphs,ā Appl. Math. Comput., vol. 247, no. 15, pp. 1156-1160 (2014).
[12] J. B. Veeragoudar and B. S. Bhadre, āFirst Zagreb index and coindex of the block-transformation graphs Gαβγ,ā J. Inf. Optim. Sci., vol. 42 no. 6, 1397-1408 (2021).
[13] S. R. Jog and J. R. Gurjar, āDegree sum exponent distance energy of some graphs,ā J. Indones. Math. Soc., vol. 27, pp. 64-74 (2021).
[14] B. Wu and J. Meng, āBasic properties of total transformation graphs,ā J. Math. Study, vol. 34, pp. 109-116 (2001).Ā




