**Volume 55 (2023)**

**Volume 54 (2022)**

**Volume 53 (2021)**

**Volume 52 (2020)**

**Volume 51 (2019)**

**Volume 50 (2018)**

**Volume 49 (2017)**

**Volume 48 (2016)**

**Volume 47 (2016)**

**Volume 46 (2015)**

**Volume 45 (2014)**

**Volume 44 (2013)**

**Volume 43 (2009)**

**Volume 42 (2008)**

**Volume 41 (2007)**

Number of Articles: 12

##### PD-prime cordial labeling of graphs

*Volume 51, Issue 2 , December 2019, Pages 1-7*

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**Abstract **

\vspace{0.2cm} Let $G$ be a graph and $f:V(G)\rightarrow \{1,2,3,.....\left|V(G)\right|\}$ be a bijection. Let $p_{uv}=f(u)f(v)$ and\\ $ d_{uv}= \begin{cases} \left[\frac{f(u)}{f(v)}\right] ~~if~~ f(u) \geq f(v)\\ \\ \left[\frac{f(v)}{f(u)}\right] ~~if~~ f(v) \geq f(u)\\ \end{cases} $\\ for all edge ...
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##### Fr{\'e}chet and Hausdorff Queries on $x$-Monotone Trajectories

*Volume 51, Issue 2 , December 2019, Pages 9-17*

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**Abstract **

\vspace{0.2cm}In this paper, we design a data structure for the following problem. Let $\pi$ be an $x$-monotone trajectory with $n$ vertices in the plane and $\epsilon >0$. We show how to preprocess $\pi$ and $\epsilon$ into a data structure such that for any horizontal query segment $Q$ in the plane, ...
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##### On the max - ``Fuzzy Or'' composition fuzzy inequalities systems

*Volume 51, Issue 2 , December 2019, Pages 19-34*

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**Abstract **

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##### A generalization of zero-divisor graphs

*Volume 51, Issue 2 , December 2019, Pages 35-45*

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**Abstract **

In this paper, we introduce a family of graphs which is a generalization of zero-divisor graphs and compute an upper-bound for the diameter of such graphs. We also investigate their cycles and cores
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##### Efficient Approximation Algorithms for Point-set Diameter in Higher Dimensions

*Volume 51, Issue 2 , December 2019, Pages 47-61*

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**Abstract **

We study the problem of computing the diameter of a set of $n$ points in $d$-dimensional Euclidean space for a fixed dimension $d$, and propose a new $(1+\varepsilon)$-approximation algorithm with $O(n+ 1/\varepsilon^{d-1})$ time and $O(n)$ space, where $0 < \varepsilon\leqslant 1$. We also ...
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##### On the outer-connected reinforcement and bondage problems in bipartite graphs: the algorithmic complexity

*Volume 51, Issue 2 , December 2019, Pages 63-74*

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**Abstract **

An outer connected dominating(OCD) set of a graph $G=(V,E)$ is a set $\tilde{D} \subseteq V$ such that every vertex not in $S$ is adjacent to a vertex in $S$, and the induced subgraph of $G$ by $V \setminus \tilde{D}$, i.e. $G [V \setminus \tilde{D}]$, is connected. The OCD number of $G$ is the smallest ...
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##### Maximum Zagreb Indices Among All $p-$Quasi $k-$Cyclic Graphs

*Volume 51, Issue 2 , December 2019, Pages 75-82*

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**Abstract **

\vspace{0.2cm}Suppose $G$ is a simple and connected graph. The first and second Zagreb indices of $G$ are two degree-based graph invariants defined as $M_1(G) = \sum_{v \in V(G)}deg(v)^2$ and $M_2(G) = \sum_{e=uv \in E(G)}deg(u)deg(v)$, respectively. The graph $G$ is called $p-$quasi $k-$cyclic, if there ...
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##### Eye Tracking for Autism Disorder Analysis using Image Processing

*Volume 51, Issue 2 , December 2019, Pages 83-98*

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**Abstract **

Analyzing eyes performance is essential for effective functioning of human. Therefore, following their motion could help doctors to make quick and accurate diagnoses for disorders like Autism, schizophrenia, or attention deficit hyperactivity disorder. Recently, several studies investigated autism disorder ...
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##### Minimum Spanning Tree of Imprecise Points Under $L_1$-metric

*Volume 51, Issue 2 , December 2019, Pages 99-110*

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**Abstract **

Let $S$ be a set of imprecise points that is represented by axis-aligned pairwise disjoint squares in the plane. A precise instance of $S$ is a set of points, one from each region of $S$. In this paper, we study the optimal minimum spanning tree (\textit{OptMST}) problem on $S$. The \textit{OptMST} problem ...
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##### Xerus Optimization Algorithm (XOA): a novel nature-inspired metaheuristic algorithm for solving global optimization problems

*Volume 51, Issue 2 , December 2019, Pages 111-126*

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**Abstract **

Over the recent years, many research has been carried out on applying the optimization approach to science and engineering problems. Thereby, numerous metaheuristic algorithms have been developed for solving such type of challenge. Despite an increase in the number of these algorithms, there is currently ...
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##### Tenacious Graph is NP-hard

*Volume 51, Issue 2 , December 2019, Pages 127-134*

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**Abstract **

The tenacity of a graph $G$, $T(G)$, is defined by$T(G) = min\{\frac{\mid S\mid +\tau(G-S)}{\omega(G-S)}\}$, where theminimum is taken over all vertex cutsets $S$ of $G$. We define$\tau(G - S)$ to be the number of the vertices in the largestcomponent of the graph $G-S$, and $\omega(G-S)$ be the number ...
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##### A Review of Replica Replacement Techniques in Grid Computing and Cloud Computing

*Volume 51, Issue 2 , December 2019, Pages 134-151*