Some More Results on Reciprocal Degree Distance Index and ℱ‐Sum Graphs

Asima Razzaque, Saima Noor, Salma Kanwal, Ayesha Manzoor · Journal of Mathematics · 2022

A chemical invariant of graphical structure is a unique value characteristic that remains unchanged under graph automorphisms. In the study of QSAR/QSPR, like many other chemical invariants, reciprocal degree distance has played a significant role to estimate the bioactivity of several compounds in chemistry. Reciprocal degree distance is a chemical invariant, which is the degree weighted version of Harary index, i.e., . Eliasi and Taeri proposed four new graphic unary operations: , and , frequently implemented in sum of graphs, symbolized as , i.e., sum of two graphs , is one of the unary graphic operations . This work provides constraints for the above‐mentioned invariant for this binary graphic operation F‐sum of graphs.

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