The Gutman index and Schultz index are two topological indices. In this paper, we first give exact formulae for the expected values of the Gutman index and Schultz index of random phenylene chains, and we will also get the average values of the Gutman index and Schultz index in phenylene chains.
I. Gutman, Selected properties of the Schultz molecular topological index, J. Chem. Info. Comput. Sci.34 (1994) 1087-1089.
G. Huang, M. Kuang and H. Deng, The expected values of Kirchhoff indices in the random polyphenyl and spiro chains, Ars Math. Contemporanea 9 (2014) 197-207.
X. Y. Geng, P. Wang, L. Lei and S. J. Wang, On the Kirchhoff indices and the number of spanning trees of Möbius phenylenes chain and cylinder phenylenes chain, Polycyclic Aromatic Compounds, DOI:10.1080/10406638.2019.1693405.
Q. Xiao, M. Zeng, Z. Tang and H. Deng, The hexagonal chains with the first three maximal Mostar indices, submitted.
Q. Xiao, M. Zeng, Z. Tang and H. Deng, The hexagonal chains with the first three minimal Mostar indices, submitted
H. Chen and F. Zhang, Resistance distance and the normalized Laplacian spectrum, Discrete Appl. Math. 155 (2017) 654-661.
I. Gutman, L. Feng and G. Yu, Degree resistance distance of unicyclic graphs, Trans. Combin. 1 (2012) 27-40.
W. Yang and F. Zhang, Wiener index in random polyphenyl chains, MATCH Commun. Math. Comput. Chem. 68 (2012) 371-376.
W. Wei and S. Li, Extremal phenylene chains with respect to the coefficients sum of the permanental polynomial, the spectral radius, the Hosoya index and the Merrifield Simmons index, Discrete Appl. Math.271 (2019) 205-217.
Y. Zuo, Y. Tang and H. Deng, The extremal graphs for (sum-) Balaban index of spiro and polyphenyl hexagonal chains, Iranian J. Math. Chem. 9 (2018) 241-254.
L. Zhang, Q. Li, S. Li and M. Zhang, The expected values for the Schultz index, Gutman index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain, Discrete Appl. Math.282 (2020) 243-256.
Wei,L , Bian,H , Yu,H and Yang,X . (2021). The Gutman Index and Schultz Index in the Random Phenylene Chains. Iranian Journal of Mathematical Chemistry, 12(2), 67-78. doi: 10.22052/ijmc.2021.240317.1527
MLA
Wei,L , , Bian,H , , Yu,H , and Yang,X . "The Gutman Index and Schultz Index in the Random Phenylene Chains", Iranian Journal of Mathematical Chemistry, 12, 2, 2021, 67-78. doi: 10.22052/ijmc.2021.240317.1527
HARVARD
Wei L, Bian H, Yu H, Yang X. (2021). 'The Gutman Index and Schultz Index in the Random Phenylene Chains', Iranian Journal of Mathematical Chemistry, 12(2), pp. 67-78. doi: 10.22052/ijmc.2021.240317.1527
CHICAGO
L Wei, H Bian, H Yu and X Yang, "The Gutman Index and Schultz Index in the Random Phenylene Chains," Iranian Journal of Mathematical Chemistry, 12 2 (2021): 67-78, doi: 10.22052/ijmc.2021.240317.1527
VANCOUVER
Wei L, Bian H, Yu H, Yang X. The Gutman Index and Schultz Index in the Random Phenylene Chains. Iranian J. Math. Chem.. 2021;12(2):67-78. doi: 10.22052/ijmc.2021.240317.1527