In QSAR/QSPR studies, topological indices are utilized to predict the bioactivity of chemical compounds. In this paper, the closed forms of different Zagreb indices and atom-bond connectivity indices of regular dendrimers G[n] and H[n] in terms of a given parameter n are determined by using the automorphism group action. It was reported that these connectivity indices are correlated with some physicochemical properties and are used to measure the level of branching of the molecular carbon-atom skeleton.

Introduction:  Ricket is a disorder of developing bones. It is secondary to the mineralization defect at growth plate matrix. In industrialization countries, the elimination of nutritional rickets or vitamin D deficiency has been done by prophylactic means. In under developed countries of Asia,it remains major health problem. There are a lot of factors which take part in synthesis of vitamin D. These factors include sun exposure, pigmentation of skin and pollution etc.  Objective: To determine the frequency of common factors leading to nutritional rickets among the children under 2 years of age. Results: Total 147 children under age of 2 years suffering with rickets were included in the study.1.5:1 was male to female ratio.13.74 months + 6.4SD was the average age of the patients with range 3-24 months .120(81.6%) sufferers have been observed with the lack of vitamin D supplementation followed by low maternal education 111 (75.5%). Conclusion: Vitamin D supplementation deficiency is main factor for children suffering from nutritional rickets.It is considered in the management of such patients.

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The various topological indices are helpful in predicting the bioactivity of molecular compounds in quantitative structure–activity relationship/quantitative structure–property relationship study. The Balaban index and Harary index are the distance-based indices. The sum-Balaban index is another variant of Balaban index. Harary index can be used to indicate the decay of interaction between any two atoms of molecules. Whereas, the Balaban and sum-Balaban indices can be linked with some physico-chemical properties of octanes and lower benzenoids. In this work, the closed expression of Balaban index, sum-Balaban index, and Harary index of some regular dendrimers in the form of parameter m {\rm{m}} are computed using the action of automorphism group of these dendrimers.