Title: Comparative analysis of N-hydroxy-2,6-bis (p-chlorophenyl)-3-isopropylpiperidin-4-one semicarbazone and N-hydroxy-2,6-bis (p-chlorophenyl)-3-isopropylpiperidin-4-one thiosemicarbazone by graceful tree graph, non-graceful graph and cliques representation of graph with the data spectrum

Authors: V. Narayanan; J.B. Veeramalini; G. Baskar

Addresses: Department of Mathematics, Sri Ram Engineering College, Tiruvallur 602024, India ' Department of Chemical Engineering, Sri Ram Engineering College, Tiruvallur 602024, India ' Department of Applied Chemistry, Sri Venkateswara College of Engineering, Pennalur 602117, India

Abstract: In this paper, the graph theory has been developed into an extensive and popular branch of mathematics, which in turn has been applied to many problems in semicarbazone and thiosemicarbazone compounds. The compounds such as N-hydroxy-2,6-bis(pchlorophenyl)-3-isopropylpiperidin-4-one semicarbazone and N-hydroxy-2,6-bis(p-chlorophenyl)-3-isopropylpiperidin-4-one thiosemicarbazone have been synthesised and characterised on the basis of elemental analysis such as ¹H NMR and ¹³C NMR. Several open problems that have gained respect with the help of graph theory, which can be recorded through simple, finite, connected and undirected group. The compounds which have been synthesised can be split into four sub groups. Each subset has been defined such as alkyl by graceful tree graph, N-hydroxy ring and phenyl compounds by non-graceful graph and semicarbazone and thiosemicarbazone by cliques representations of graph. The compound has been represented mathematically in terms of −p vertices and −q cliques. A complete picturisation of the compounds by combining all the subgroups together has been schematically icono-graphed.

Keywords: semicarbazone; thiosemicarbazone; graceful tree graph; GTG; cliques representation of graph; non-graceful graph; NGG; ¹H NMR; ¹³C NMR.

DOI: 10.1504/IJMPT.2017.084972

International Journal of Materials and Product Technology, 2017 Vol.55 No.1/2/3, pp.210 - 224

Received: 29 Apr 2016
Accepted: 26 Jan 2017
Published online: 09 Jul 2017 *

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