Z. Raza
Department of Mathematics, National University of Computer and Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan.and Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates.
[ 1 ] - The augmented Zagreb index, vertex connectivity and matching number of graphs
Let $\Gamma_{n,\kappa}$ be the class of all graphs with $n\geq3$ vertices and $\kappa\geq2$ vertex connectivity. Denote by $\Upsilon_{n,\beta}$ the family of all connected graphs with $n\geq4$ vertices and matching number $\beta$ where $2\leq\beta\leq\lfloor\frac{n}{2}\rfloor$. In the classes of graphs $\Gamma_{n,\kappa}$ and $\Upsilon_{n,\beta}$, the elements having maximum augmented Zagreb inde…
[ 2 ] - Optimal coincidence best approximation solution in non-Archimedean Fuzzy Metric Spaces
In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuzzy…
[ 3 ] - A Note on the Zeroth-order General Randić Index of Cacti and Polyomino Chains
The present note is devoted to establish some extremal results for the zeroth-order general Randi'{c} index of cacti, characterize the extremal polyomino chains with respect to the aforementioned index, and hence to generalize two already reported results.
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