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On the large rank of certain semigroups of transformations on a finite chain

Kumar, Jitender (World Scientific, 2022)

The large rank of a finite semigroup S is the least number n such that every subset of S with n elements generates S. This paper obtains the large ranks of ODn,PODJn and PODn, the semigroups of singular transformations, ...

On the cozero-divisor graphs associated to rings

Kumar, Jitender (Taylor & Francis, 2022-08)

Let R be a ring with unity. The cozero-divisor graph of a ring R, denoted by Γ'(R), is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of R, and two distinct vertices x and y are ...

On the inclusion ideal graph of semigroups

Kumar, Jitender (ARXIV, 2021-10)

The inclusion ideal graph In(S) of a semigroup S is an undirected simple graph whose vertices are all nontrivial left ideals of S and two distinct left ideals I,J are adjacent if and only if either I⊂J or J⊂I. The purpose ...

On the intersection ideal graph of semigroups

Kumar, Jitender (ARXIV, 2022-01)

The intersection ideal graph Γ(S) of a semigroup S is a simple undirected graph whose vertices are all nontrivial left ideals of S and two distinct left ideals I,J are adjacent if and only if their intersection is nontrivial. ...

On The Enhanced Power Graph of a Semigroup

Kumar, Jitender (ARXIV, 2021-07)

The enhanced power graph Pe(S) of a semigroup S is a simple graph whose vertex set is S and two vertices x,y∈S are adjacent if and only if x,y∈⟨z⟩ for some z∈S, where ⟨z⟩ is the subsemigroup generated by z. In this paper, ...

On the Connectivity and Equality of Some Graphs on Finite Semigroups

Kumar, Jitender (Springer, 2022-11)

In this paper, we study various graphs, namely Colon power graph, cyclic graph, enhanced power graph, and commuting graph on a semigroup S. The purpose of this paper is twofold. First, we study the interconnection between ...

Certain properties of the enhanced power graph associated with a finite group

Kumar, Jitender (Springer, 2023-03)

The enhanced power graph of a finite group G, denoted by PE(G), is a simple undirected graph whose vertex set is G and two distinct vertices x, y are adjacent if x,y∈⟨z⟩ for some z∈G. In this article, we determine all ...

On the clique number and independence number of the cyclic graph of a semigroup

Kumar, Jitender (World Scientific, 2023-04)

The cyclic graph Γ(S) of a semigroup S is the simple undirected graph whose vertex set is S and two vertices x,y are adjacent if the subsemigroup generated by x and y is monogenic. In this paper, we determine the clique ...

Disintegration process of surface stabilized sol-gel TiO2 nanoparticles by population balances

Kumar, Rajesh (Elsevier, 2009-12)

Titanium oxide () is one of the most useful oxide materials, because of its widespread applications in photocatalysis, solar energy conversion, sensors and optoelectronics. The control of particle size and monodispersity ...

Numerical methods for solving two-dimensional aggregation population balance equations

Kumar, Rajesh (Elsevier, 2011-06)

The cell average technique (CAT) and the fixed pivot (FP) method for solving two-dimensional aggregation population balance equations using a rectangular grid were implemented in Kumar et al. (2008). Recently, Chakraborty ...

Finite volume scheme for multiple fragmentation Equations

Kumar, Rajesh (ISCI, 2012)

In this paper we study a finite volume approximation for the conservative formulation of multiple fragmentation models. We investigate the convergence of the numerical solutions towards a weak solution of the continuous ...

A population balance model with simultaneous aggregation and breakage for the synthesis of Titanium dioxide nanoparticles

Kumar, Rajesh (Indianjournals, 2013)

In this work we discuss the applications of aggregation and multiple breakage equations in nano-technology. The kinetics of the aggregation and breakage processes during titanium dioxide (TiO2) nano-particle sol-gel synthesis ...

Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations

Kumar, Rajesh (Elsevier, 2013-01)

This paper presents a finite volume scheme (FVS) for solving general breakage population balance equations (BPBEs). In particular, the number density based BPBE is transformed to the form of a mass conservation law. Then ...

Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms

Kumar, Rajesh (World Scientific, 2013)

In this work we present some moment preserving finite volume schemes (FVS) for solving population balance equations. We are considering unified numerical methods to simultaneous aggregation, breakage, growth and source ...

Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations

Kumar, Rajesh (ARXIV, 2014)

This paper presents stability and convergence analysis of a finite volume scheme (FVS) for solving aggregation, breakage and the combined processes by showing Lipschitz continuity of the numerical fluxes. It is shown that ...

Low-Rank Tensor Approximation for High-Order Correlation Functions of Gaussian Random Fields

Kumar, Rajesh (SIAM, 2015)

Gaussian random fields are widely used as building blocks for modeling stochastic processes. This paper is concerned with the efficient representation of d-point correlations for such fields, which in turn enables the ...

Investigation on agglomeration kinetics of acetaminophen using fluidized bed wet granulation

Kumar, Rajesh (Wiley, 2020-01)

Acetaminophen is a well-known medicine frequently used as analgesic in fever treatment. In pharmaceutical formulation procedure, batch fluidized bed wet granulation is a bottleneck process for the continuous processing of ...

Simultaneous estimation of parabens and bisphenol a in ready-to-eat foodstuffs by using QbD-driven high-pressure liquid chromatography method

Kumar, Rajesh; Taliyan, Rajeev; Singhvi, Gautam (Taylor & Francis, 2020-05)

Endocrine-disrupting chemicals (EDC) are harmful xenobiotics show casingv aried unwanted effects altering the endocrine system and its functions. Exposure of EDCs to humans occurs through route sincluding air, water, skinand ...

Population Balance Modeling with Coupled Agglomeration and Disintegration Processes for TiO2 Nanoparticles Formation and Experimental Validation

Kumar, Rajesh (Springer, 2020-10)

Particle size distribution of nanoparticles plays an important role in modelling many scientific and engineering problems. In this article, we proposed a Finite Volume Method (FVM) to model TiO2 nanoparticles formation ...

Numerical study on transient behaviour of finite bulk arrival or service queues with multiple working vacations

Kumar, Rajesh (Inder Science, 2021-03)

The transient behaviour of single server bulk queues with finite-buffer capacity is discussed numerically under the assumption that the server may take multiple working vacations after completing a busy period. It is ...

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