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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1422))

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Abstract

Neutrosophicover set (Nover) was introduced by smarandache. Due to some real-time situation, decision-makers deal with uncertainty and inconsistency to identify the best result. Connectivity will be very important in neutrosophic graph. In this research study, we introduced the certain types of domination which are so-called perfect \({\text{NOverTop}}\)-dominating set (perf Noverdom set), connected perfect \({\text{NOverTop}}\)-dominating set (CONN perfNoverdom set), total perfect \({\text{NOverTop}}\)-dominating set (Tot perf Noverdom set), connected total perfect \({\text{NOverTop}}\)-dominating sets (CONN Tot perf Noverdom set), and also properties of domination numbers are established with necessary examples. Further, those relationship are discussed.

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Correspondence to R. Narmada Devi .

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Devi, R.N., Muthumari, G., Rasappan, S. (2022). Certain Types of Domination in Nover Top Graphs. In: Peng, SL., Lin, CK., Pal, S. (eds) Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science. Advances in Intelligent Systems and Computing, vol 1422. Springer, Singapore. https://doi.org/10.1007/978-981-19-0182-9_7

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