Waqas Nazeer

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Dendrimers are highly branched organic macromolecules with successive layers of branch units surrounding a central core. The M-polynomial of nanotubes has been vastly investigated as it produces many degree-based topological indices. These indices are invariants of the topology of graphs associated with molecular structure of nanomaterials to correlate(More)
The recent discovery of boron triangular nanotubes competes with carbon in many respects. The closed form of M-polynomial of nanotubes produces closed forms of many degree-based topological indices which are numerical parameters of the structure and, in combination, determine properties of the concerned nanotubes. In this report, we give M-polynomials of(More)
Mobeen Munir 1, Waqas Nazeer 1, Shazia Rafique 2 and Shin Min Kang 3,4,* 1 Division of Science and Technology, University of Education, Lahore 54000, Pakistan; mmunir@ue.edu.pk (M.M.); nazeer.waqas@ue.edu.pk (W.N.) 2 Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan; shaziarafique@gmail.com 3 Department of(More)
1 Department of Mathematics, Govt. College Kamoke, Gujranwala, Pakistan 2 Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan 3 Division of Science and Technology, University of Education, Lahore, Pakistan E-mail: arhamusman2001@gmail.com, saeedkhan07@live.com, waqaster@yahoo.com , tanveer.7955180@yahoo.com. ABSTRACT: In this(More)
1 Department of Mathematics, Lahore College for Women University, Lahore-Pakistan E-mail: imrana.kousar@hotmail.com 2 Department of Mathematics, Lahore College for Women University, Lahore-Pakistan E-mail: saimanazeer123@yahoo.com 3* Division of Science and Technology, University of Education, Township Lahore-Pakistan E-mail: waqaster@yahoo.com ABSTRACT:(More)
In this note, we give fixed point results in fractal generation (Julia sets and Mandelbrot sets) by using Noor iteration scheme with s-convexity. Researchers have already presented fixed point results in Mann and Ishikawa orbits that are examples of one-step and two-step feedback processes respectively. In this paper we present fixed point results in Noor(More)
Abstract A multilevel distance labeling of the graph G is a function f = (V (G),E(G)) on V (G) of G into N ∪ {0} so that |f(u) − f(v)| ≥ diam(G) + 1− d(u, v) for all u, v ∈ V (G). The smallest span taken over all multilevel distance labeling of G is radio number rn(G) of G. In this paper, we completely determine the radio number rn(G) of G where G is the(More)
Muhammad Ajmal 1, Waqas Nazeer 2, Mobeen Munir 2, Shin Min Kang 3,4 and Young Chel Kwun 5,* 1 Department of Mathematics, Government Muhammdan Anglo Orintal College, Lahore 54000, Pakistan; majmalkhan82@gmail.com 2 Division of Science and Technology, University of Education, Lahore 54000, Pakistan; nazeer.waqas@ue.edu.pk (W.N.); mmunir@ue.edu.pk (M.M.) 3(More)
V-Phenylenic nanotubes and nanotori are most comprehensively studied nanostructures due to widespread applications in the production of catalytic, gas-sensing and corrosion-resistant materials. Representing chemical compounds with M-polynomial is a recent idea and it produces nice formulas of degree-based topological indices which correlate chemical(More)