Gutman recently introduced a new vertex-degree-based topological index called the Sombor index. In this paper, we present some new results relating the Sombor index and some well-studied topological indices: Zagreb indices, forgotten index, harmonic index, (general) sum-connectivity index and symmetric division deg index.
Ali, S. Elumalai and T. Mansour, On the symmetric division deg index of molecular graphs, MATCH Commun. Math. Comput. Chem.83 (2020) 205-220.
Cruz, I. Gutman and J. Rada, Sombor index of chemical graphs, Appl. Math. Comput.399 (2021) 126018.
C. Das, A.S. Çevik, I.N. Cangul and Y. Shang, On Sombor Index, Symmetry 13 (2021) 140.
S. Dragomir, A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities, J. Inequal. Pure Appl. Math.4 (3) (2003) Art. 63.
Filipovski, Relations Between Sombor Index and some Degree-Based Topological Indices, Iranian J. Math. Chem.12 (1) (2021) 19-26.
Furtula, K.C. Das and I. Gutman, Comparative analysis of symmetric division deg index as potentially useful molecular descriptor, Int. J. Quantum Chem. 118 (2018) e25659.
Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021) 11-16.
Gutman and J. Tošović, Testing the quality of molecular structure descriptors. Vertex-degree based topological indices. J. Serb. Chem. Soc.78 (6) 805-810.
J. Klein, T. Došlić and D. Bonchev, Vertex-weightings for distance moments and thorny graphs, Discrete Appl. Math. 155 (2007) 2294-2302.
Li and J. Zheng, A unified approach to the extremal trees for different indices, MATCH Commun. Math. Comput. Chem.54 (2005) 195-208.
Nikolić, G. Kovačević, A. Miličević and N. Trinajstić, The Zagreb Indices 30 Years After, Croat. Chem. Acta 76 (2003) 113-124.
Redžepović, Chemical applicability of Sombor indices, J. Serb. Chem. Soc. 86 (5) (2021) 445-457.
Wang, Y. Mao, Y. Li and B. Furtula, On relations between Sombor and other degree-based indices, J. Appl. Math. Comput. (2021). DOI: 10.1007/s12190-021- 01516-x.
Zhou and N. Trinajstić, On a novel connectivity index. J. Math. Chem. 46 (2009) 1252-1270.
Zhou and N. Trinajstić, On general sum-connectivity index. J. Math. Chem. 47 (2010)210-218.
Phanjoubam, C., & Mawiong, S. (2021). On Sombor Index and some Topological Indices. Iranian Journal of Mathematical Chemistry, 12(4), 209-215. doi: 10.22052/ijmc.2021.243137.1588
MLA
Chinglensana Phanjoubam; Sainkupar Mn Mawiong. "On Sombor Index and some Topological Indices", Iranian Journal of Mathematical Chemistry, 12, 4, 2021, 209-215. doi: 10.22052/ijmc.2021.243137.1588
HARVARD
Phanjoubam, C., Mawiong, S. (2021). 'On Sombor Index and some Topological Indices', Iranian Journal of Mathematical Chemistry, 12(4), pp. 209-215. doi: 10.22052/ijmc.2021.243137.1588
VANCOUVER
Phanjoubam, C., Mawiong, S. On Sombor Index and some Topological Indices. Iranian Journal of Mathematical Chemistry, 2021; 12(4): 209-215. doi: 10.22052/ijmc.2021.243137.1588