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Latest Published Articles
OMS-Vol. 2 (2018), Issue 1, pp. 323–337 Open Access Full-Text PDF
Li Yan, Mohammad Reza Farahani, Wei Gao
Abstract:Most of molecular structures have symmetrical characteristics. It inspires us to calculate the topological indices by means of group theory. In this paper, we present the formulations for computing the several distance-based topological indices using group theory. We solve some examples as applications of our results.
On the Multiplicative Degree Based Topological Indices of Circulant Graph
OJC-Vol. 1 (2018), Issue 1, pp. 12–18 | Open Access Full-Text PDF
Ghulam Hussain, Saba Noreen, Waseem Khaild
Abstract:Topological indices are numerical numbers associated with a graph that helps to predict many properties of underlined graph. In this paper we aim to compute multiplicative topological indices of Circulant graph.
On Graph Invariants of Oxide Network
EASL-Vol. 1 (2018), Issue 1, pp. 23–28 | Open Access Full-Text PDF
Muhammad Imran, Asima Asghar, Abdul Qudair Baig
Abstract:The application of graph theory in chemical and molecular structure research far exceeds people’s expectations, and it has recently grown exponentially. In the molecular graph, atoms are represented by vertices and bonded by edges. In this report, we study the several Zagreb polynomials and Redefined Zagreb indices of Oxide Network.
Computing Degree-Based Topological Indices of Jahangir Graph
EASL-Vol. 1 (2018), Issue 1, pp. 16–22 | Open Access Full-Text PDF
Wei Gao, Asima Asghar, Waqas Nazeer
Abstract:Topological indices are numerical numbers associated with a graph that helps to predict many properties of underlined graph. In this paper we aim to compute multiplicative degree based topological indices of Jahangir graph.
\(L^p-\) boundedness for integral transforms associated with singular partial differential operators
OMA-Vol. 2 (2018), Issue 2, pp. 53–77 | Open Access Full-Text PDF
Lakhdar T. Rachdi, Samia Sghaier
Abstract:We define fractional transforms \(\mathscr{R}_\mu\) and \(\mathscr{H}_\mu\), \(\mu>0\) on the space \(\mathbb{R}\times\mathbb{R}^n\). First, we study these transforms on regular function spaces and we establish that these operators are topological isomorphisms and we give the inverse operators as integro differential operators. Next, we study the \(L^p\)-boundedness of these operators. Namely, we give necessary and sufficient condition on the parameter \(\mu\) for which the transforms \(\mathscr{R}_\mu\) and \(\mathscr{H}_\mu\) are bounded on the weighted spaces \(L^p([0,+\infty[\times\mathbb{R}^n,r^{2a}dr\otimes dx)\) and we give their norms.
Complete Monotonicity Properties of a Function Involving the Polygamma Function
EASL-Vol. 1 (2018), Issue 1, pp. 10–15 | Open Access Full-Text PDF
Kwara Nantomah
Abstract:In this paper, we study completete monotonicity properties of certain functions associated with the polygamma functions. Subsequently, we deduce some inequalities involving difference of polygamma functions.