In this paper, we prove that the necessary conditions are sufficient for the existence of a decomposition of tensor product of complete graphs into cycles and stars with four edges.

Given a set S and an equivalence relation R on S, one can define an equivalence graph with vertex set S. Given a graph with vertex set V , we can define an equivalence relation on V using the concept of degree of a vertex ...

Dealing with degree of approximation of Fourier series of functions of Lipchitz classes, some results have been established by Nigam [15] and Misra et al. [17]. In this paper, we have established a new theorem based on (E, ...

In this paper, we consider Riemann-Liouville two-point fractional order boundary value problem having denumerably many singularities and determined sufficient conditions for the existence of denumerably many positive ...

It is well known that the sufficient descent condition is very important to the global convergence of the nonlinear conjugate gradient methods. Also, the direction generated by a conjugate gradient method may not be a ...

In this paper, an initial-boundary value problem for the time-fractional wave equation is considered. Given an additional condition, a time-dependent coefficient is determined and the existence and uniqueness theorem for ...

In the present paper we study the operator defined by using the Ruscheweyh derivative Rm f(z) and the S?l?gean operator Sm f(z), denoted Lm? : An ? An, Lm? f(z) = (1??)Rm f(z)+?Sm f(z), z ? U, where An = {f ? H(U) : f(z) ...

The detailed consideration of the relativistic canonical quantum-mechanical model of an arbitrary ?s -multiplet is given. The group-theoretical analysis of the algebra of experimentally observable physical quantities for ...

A directed pathos middle digraph of an arborescence A?, written Q = DPM(A?), is the digraph whose vertex set V (Q) = V (A?) ? A(A?) ? P(A?), where V (A?) is the vertex set, A(A?) is the arc set, and P(A?) is a directed ...

[No abstract available]