International Journal of Mathematics and Soft Computing

21-27

Authors: M.K. Siddiqui, A. Ahmad, M.F. Nadeem, Y. Bashir

An edge irregular total $k$-labeling $\varphi: V\cup E \to \{ 1,2, \dots, k \}$ of a~graph $G=(V,E)$ is a~labeling of vertices and edges of $G$ in such a~way that for any different edges $uv$ and $u'v'$ their weights $\varphi(u)+ \varphi(uv) + \varphi(v)$ and $\varphi(u')+ \varphi(u'v') + \varphi(v')$ are distinct. The total edge irregularity strength, $tes(G)$, is defined as the minimum $k$ for which $G$ has an~edge irregular total $k$-labeling. In this paper, we consider the total edge irregularity strength of the disjoint union of $\emph{p}$ isomorphic sun graphs, $tes(\emph{p}M_{n})$, disjoint union of $\emph{p}$ consecutive non-isomorphic sun graphs, $tes(\bigcup_{j=1}^{\emph{p}}M_{n_{j}})$.

37-46

Authors: B. Sakthi @ Sathya, S. Murugesan

In this paper, we introduce a new classes of sets namely rpsI- closed sets in ideal topological spaces and investigate their properties and relations.

53-59

Authors: N. B. Okelo, J. O. Agure, P. O. Oleche

Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. In this paper, we study norm-attainability for elementary operators and generalized derivations. We give results on necessary and sufficient conditions for norm-attainability.

69-78

Authors: R. Sridevi, K. Krishnaveni, S. Navaneethakrishnan

In this paper, we propose a novel watershed image segmentation technique based on absolute difference graph labeling. The main objective is to partition the image into distinct regions that are visually different, homogeneous and meaningful with respect to some characteristics or computed property, that is, such as grey level, texture or color to enable easy image analysis. A graph representing an image is derived from the similarity between the pixels and partitioned by a computationally efficient absolute difference graph method, which identifies representative vertices for each absolute difference and then expands them to obtain complete absolute difference graph labeling. As a result, the image is portioned into a set of disjoint labels (regions).

87-96

Authors: J. Sunday, M.R. Odekunle, A.O. Adesanya

In this research work, we present the derivation and implementation of an order six block integrator for the solution of first-order ordinary differential equations using interpolation and collocation procedures. The approximate solution used in this work is a combination of power series and exponential function. We further investigate the properties of the block integrator and found it to be zero-stable, consistent and convergent. The block integrator is further tested on some real-life numerical problems and found to be computationally reliable.