Abstract: Connectivity and diagnosability play an important role in measuring the fault tolerance of interconnection networks. As a topology structure of interconnection networks, the $n$-dimensional crossed cube $CQ_{n}$ has many good properties. In this paper, we study the 2-extra connectivity and 2-extra diagnosability of $CQ_{n}$. We...
Abstract: In this paper, the notion of neutrosophic soft metric space $(NSMS)$ is introduced in terms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples....
Abstract: A nonlinear rational difference equation $x_{n+1}=ax_{n}+\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,...,$ of higher order is considered to apprehend the dynamics viz. the invariant intervals, periodic solutions, the character of semi-cycles and global asymptotic stability. {\Large \noindent }Here all the parameters $a$, $% \alpha $, $\beta $ and $A$,...
Abstract: In this paper, we consider the averaging principle for the general uncertain differential equations under a Lipschitz condition. The solutions of convergence in mean square and convergence in uncertain measure between standard uncertain differential equation and the corresponding averaged uncertain delay differential equation are considered....
Abstract: In the present paper, a new class of generalized $(s,m,\varphi)$-preinvex Godunova-Levin function of the second kind is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula are given. Moreover, by using new identity via classical integrals some Hermite-Hadamard, Simpson...
Abstract: The space $r^q(u,p,s)$ of non-absolute type have recently been introduced and studied (see, M. F. Rahman and A. B. M. R. Karim, Generalized Riesz sequence space of non-absolute type and some matrix mappings, Pure and Applied Math. Journal, 4(3)(2015), 90-95). In the present paper, we...
Abstract: If $P(z):=\sum_{j=0}^{n} \alpha_{j}z^{j}$ be a polynomial of degree n such that $ \alpha_{j}=a_{j}+ib_{j} $ where $a_{j}$ and $b_{j}$, j=0,1,...,n are real numbers. In this paper, we prove some extensions and generalizations of the classical results of the well known Enestr\"{o}m-Kakeya theorem by imposing restrictions on...
Abstract: The eccentricity of a vertex $v$ is the distance between $v$ and a vertex farthest from $v$ in a graph $G$. In this paper, we compute the eccentricity version of the atom-bond connectivity index of a $NA^{n}_{m}$ nanotube. Keywords: Molecular graph, eccentricity, atom-bond connectivity index, nanotube....
Abstract: In the study of QSPR/QSAR, we used topological indices to predict or estimate the bioactivity of chemical compounds. The harmonic index is an useful tool in predicting the heats of vaporizations, critical temperatures and melting points. In this paper, we compute the harmonic index of...
Abstract: In this paper, we introduced the concept of $(\alpha , \beta) $-doubt fuzzy ideals of $ BG $-algebras and investigated some of their related properties. We also defined doubt cartesian product of $(\alpha , \beta)$-doubt fuzzy ideals and studied their properties. Keywords: $BG$-algebra, $\alpha$-Fuzzy ideal, $\alpha$-Doubt...
Abstract: In this manuscript, we extend the concept of $(\phi,\psi)$-weak contractions in intuitionistic fuzzy cone metric space by using an altering distance function and prove some common fixed point theorems for $(\phi,\psi)$-weak contractions in intuitionistic fuzzy cone metric spaces. Keywords: Fuzzy cone metric space, generalized weak contraction,...
Abstract:This work provides a fomular used to generate a Cantor set of any segment. This is called the Lower Bound Numerator Generator$(LBNG)$. In this new approach, you can construct a specified segment of Cantor set without having to first construct the segment before. This approach...
Abstract: The objective of this paper is to study slant sub manifolds of $(\textit{k},\mu)$-contact manifold when structure tensor field $\phi$ is killing and have obtained some results under certain conditions. Keywords: $(\textit{k},\mu)$-contact manifold, second fundamental form, slant submanifold, killing structure. DOWNLOAD PDF ...
Abstract: In this paper we establish two common fixed point theorems for $F$-Contractions on generalized metric spaces and provide supporting example. An open problem also given. Keywords: $F$-Contraction, Generalized Metric Space. DOWNLOAD PDF DOWNLOAD PDF How to cite this article:...
Abstract: Chemical graph theory is a branch of graph theory whose focus of interest is to finding topological indices of chemical graphs which correlate well with chemical properties of the chemical molecules. In this paper, we compute Banhatti indices of different chemically interesting networks like silicate,...
Abstract: In this paper a new class of sets namely feebly-locally open sets(in short $fLO$-sets), $fLO^{*}$ sets, $fLO^{**}$ sets in bitopological spaces are introduced. Some examples are provided to illustrate the behaviour of these new class of sets. Keywords: Bitopological spaces, $f$-open sets, $f$-closed sets, $f$-locally open...
Abstract: Minimal embeddings of Latin Tableaux $LT$ in strictly larger Latin Squares $LS$ are established. Embeddings of $LT(N)$ into $LS(N+2)$ are studied in particular: it is proven they exist if and only if $N+2$ is prime. For all other $N$, there exists a Latin Tableau $LT(N)$...
Abstract: Selection criteria, crossover and mutation are three major operators involved in the genetic algorithm’s performance. A lot of work has been done on these operators but the crossover has a significant role in the operation of genetic algorithms. A number of crossover operators have been...
Abstract: In this paper, we introduce an explicit iterative scheme for approximating common fixed points for a finite family of $G$-nonexpansive mappings in a uniformly convex Banach space with a directed graph. Our results extend and improve the results of [Tripak, O.: Common fixed points of...
Abstract: In the present paper, we introduce a new generalized type of quasi-partial metric spaces so-called weak quasi-partial metric spaces. This concept is a generalization and unification of weak partial metric spaces and quasi-partial metric spaces. Also, some fixed point theorems in these spaces are given....