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

Asima Razzaque, Saima Noor, Salma Kanwal, Ayesha Manzoor and Gohar Ali

Journal of Mathematics, 2022, vol. 2022, 1-13

Abstract: A chemical invariant of graphical structure Z 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., ℛDDZ=1/2∑μ,ν∈VZ(dZμ+dZν/dZμ,ν). Eliasi and Taeri proposed four new graphic unary operations: SZ,ℛZ,QZ, and TZ, frequently implemented in sum of graphs, symbolized as Z1+Z2ℱ, i.e., sum of two graphs ℱZ1, Z2;ℱ is one of the unary graphic operations S,ℛ,Q,T. This work provides constraints for the above-mentioned invariant for this binary graphic operation F-sum of graphs.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3178497

DOI: 10.1155/2022/3178497

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