Topological Indices of the Line Graph of Subdivision Graph of Complete Bipartite Graphs

Authors

Adnan Aslam, Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), PakistanFollow
Juan Luis Garcıa Guirao, Departamento de Matema´tica Aplicanda y Estad´ıstica, Universidad Polite´cnica de Cartegena, Hospital de Marina, 30203, Regio´n de Murcia, SpainFollow
Safyan Ahmad, Abdus Salam School of Mathematical Sciences GC University, Lahore, PakistanFollow
Wei Gao, School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, ChinaFollow

Author Country (or Countries)

Spain

Abstract

Topological index is a number associated with molecular graph and this number correlate certain physico-chemical properties of chemical compounds. In the study of QSAR/QSPR, topological indices such as, Randic´ index, Zagreb index, general sumconnectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are exploited to estimate the bioactivity of chemical compounds. In this paper, we compute generalized Randic´ , first and second Zagreb, first and second multiple Zagreb, hyper Zagreb, general sum connectivity index, ABC and GA indices of the line graph of subdivision graph of complete bipartite graphs. Moreover, we also give an explicit formula for ABC4 and GA5 indices of the line graph of subdivision graph of complete bipartite graphs.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110610

Recommended Citation

Aslam, Adnan; Luis Garcıa Guirao, Juan; Ahmad, Safyan; and Gao, Wei (2017) "Topological Indices of the Line Graph of Subdivision Graph of Complete Bipartite Graphs," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 10.
DOI: http://dx.doi.org/10.18576/amis/110610
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/10