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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 11 > No. 6

 
   

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

PP: 1631-1636
doi:10.18576/amis/110610
Author(s)
Adnan Aslam, Juan Luis Garcıa Guirao, Safyan Ahmad, Wei Gao,
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.

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