1 Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District –North 24 4 Parganas, Pin code-743126, West Bengal, India; [email protected] 5 2 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic 6 Garden, Howrah-711103, West Bengal, India; [email protected] (S.A.); [email protected] (T.K.R.) 7 * Corresp...

The application of nanoparticles in order to enhance the composites properties has been recently attracted many researchers' attentions. To increase the mechanical and physical properties of the composites, the nanoparticles have no significant effect on the weight and nanostructure of composites. One of the well-known nanoparticles is the Nanoclay (NC) that have been widely used in industries ...

For given non-abelian group G, the non-commuting (NC)-graph $Gamma(G)$ is a graph with the vertex set $G$ $Z(G)$ and two distinct vertices $x, yin V(Gamma)$ are adjacent whenever $xy neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.

‎we characterize those groups $g$ and vector spaces $v$ such that $v$ is a faithful irreducible $g$-module and such that each $v$ in $v$ is centralized by a $g$-conjugate of a fixed non-identity element of the fitting subgroup $f(g)$ of $g$‎. ‎we also determine those $v$ and $g$ for which $v$ is a faithful quasi-primitive $g$-module and $f(g)$ has no regular orbit‎. ‎we do use these to show in ...

Modern manufacturing enterprises are built from facilities spread around the globe, which contain equipment from hundreds of different manufacturers. Immense volumes of product information must be transferred between the various facilities and machines. Today's digital communications standards have solved the problem of reliably transferring information across global networks. For mechanical pa...

We prove that there is a family of permutations which are computable by a family ofNC circuits while their inverses are P-hard to compute. Thus these permutations are oneway from the point of view of parallel computation.

We study the parallel time-complexity of basic cryptographic primitives such as one-way functions (OWFs) and pseudorandom generators (PRGs). Specifically, we study the possibility of implementing instances of these primitives by NC functions, namely by functions in which each output bit depends on a constant number of input bits. Despite previous efforts in this direction, there has been no con...

9-nitrocamptothecin (9-nc) is a semisynthetic and a low soluble analogue of camptothecin alkaloids that target nuclear enzyme topoisomerase i. the unstable lactone form of 9-nc in biological fluids requires for its cytotoxic activity. to improve aqueous solubility and stability in biological media, 9-nc was loaded in polymeric nanoparticles. in this paper, we studied the effect of peg percent (...