Papers

An L(2,1)-labeling of a graph G is an assignment of labels from {0,1,…,n} to the vertices of G such that vertices at distance two get different labels and adjacent vertices get labels that are at least two apart. The minimum span (difference between largest and smallest labels) taken over all L(2,1)-labeling of G is the l-number of G. The aim of this paper is to determine the l-number of the join of two graphs, C_m and P_n.
 

The effects of inspection errors on acceptance sampling when one is inspecting for the number of nonconformities per item is considered , two types of inspections are defined. Formulas are derived for the OC and ASN for situations when these inspection error are present for double sampling plan . An example illustrates the effects of these inspection errors on both the OC and ASN curves.
 

In this paper we discuss analytical solution for the unsteady magneto hydro dynamic flow is constructed in a rotating non-Newtonian fluid through a porous medium taking hall current into account. The constitutive equations for a Maxwell fluid have been taken into consideration. The hydro magnetic flow in the uniformly rotating fluid is generated by a suddenly moved infinite plate in its own plane. The analytical solution of the governing flow problem is obtained by means of Fourier sine transform. It is shown that the obtained solution satisfies both associate partial differential equation and the initial and boundary conditions. The solution for a Navier-Stokes fluid is recovered if The steady state solution is also obtained for.
 

In this Paper, we prove common fixed point theorems for weakly compatible mappings without using condition of continuity. We improve results of Cho,Ha and Chang²². For terminologies, notations and properties of probabilistic metric spaces^23,24,25,26.
 

Sinha² has studied H-projective curvature tensor in an almost decomposable manifold. Singh⁴ has studied some theorem on Kaehlerian spaces with recurrent H-curvature tensors.Further; Negi⁸ has studied some investigations in Kaehlerian spaces with recurrent H-curvature tensors. In the present paper; we have defined and studied almost product and almost decomposable manifold and several theorems have been derived.
 

The purpose of the paper is to study some properties of W₂-Semisymmetric, Kenmotsu manifolds, Projectively flat Einstein Kenmotsu manifolds and Conharmonically flat Einstein Kenmotsu manifolds.

The analysis of different physical systems and mathematical devices depends on the utilization of various types of algebraic quantities involved in the description of geometrical aspects of the phenomena and states which occur. Certain types of quantities are commonly identified as scalars, vectors and tensors. Among these, the tensors are quite complicated geometric structures as they involve not only magnitude and direction, but also have a dependence on orientation. The most familiar tensors in physical importance are internal stress in a solid and viscous stress in fluid. In both cases, the magnitude and direction of stress as a force per unit area depend on the orientation of the area on which it is acting.

The purpose of the present manuscript is to discuss a nice and lucid characterization of tensor and their basic features. Moreover, the manuscript is intended to serve the purpose of familiarity with recent developments in the tensor theory and its applications in various fields of sciences and Bio-sciences. We have just reviewed and combined the results on applications of tensors, which we feel useful in the recent developments. The manuscript begins with tensor primer and consists of few applications in elasticity including illustrations of stress and deformation tensors of elastic bodies, electro-dynamics with Maxwell's tensor and finally includes brief notions of diffusion tensors used in MRI and strain Green's tensors applied in the study of seismology.

In this paper we introduce the concept of a- domination in fuzzy graphs. We determine the a- fuzzy domination number  for fuzzy graphs and obtain bounds for the same. This paper also contains many counter examples especially to show that Nordhaus Gaddum type result need not be true not only for fuzzy graphs but also for crisp graphs.
 

In this paper, we introduce the concepts of commutativity and give the relationship between the concepts of commutativity and compatibility in intuitionistic fuzzy metric spaces. Thereafter, we prove two common fixed point theorems for the concept of compatibility in intuitionistic fuzzy metric spaces.
 

Rosenbloom and Tsfasman introduced a new metric (RT metric) which turned out to be a generalization of the Hamming metric. In this paper, we study the distance graphs of constant weight subspaces of the spaces Z^n_q and S_n with RT metric.