On the General Product-connectivity Index of Transformation Graphs

B. Basavanagoud¹ , C.S. Gali²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.33-40, Oct-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.3340

Online published on Oct 31, 2018

Copyright © B. Basavanagoud , C.S. Gali . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The general product-connectivity index is a molecular structure descriptor of a molecular graph, which generalizes both Randi index and second Zagreb index. In this paper, we obtain general product-connectivity index of subdivision graph, partial complement of subdivision graph, semitotal-point graph, semitotal-line graph and total graph. Also bounds for general product-connectivity index of some transformation graphs.

Key-Words / Index Term :
General product-connectivity index, Semitotal-point graph, Semitotal-line graph, Total transformation graphs, First and second Zagreb indices

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