Mathematical modeling with the help of numerical coding graphs has been used in different fields science, especially chemistry for studies molecular structures. It also plays a vital role study quantitative structure activities relationship (QSAR) and properties (QSPR) models. Todeshine et al. (2010) Eliasi (2012) defined two versions 1st multiplicative Zagreb index as <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-5.808199pt"...

Metal-organic networks (MONs) is a family of chemical compounds consisting clusters or metal ions and organic ligands. These are studied as one, two three dimensional structures porous materials subclasses coordination polymers. MONs mostly used in catalysis for the separation & purification gases conducting solids super-capacitors. In some situations, these found to be stable process removal solvent guest molecules could restored with other compounds. The physical stability mechanical...

Mathematical modeling or numerical coding of the molecular structures play a significant role in studies quantitative structure-activity relationships (QSAR) and property (QSPR). In 1972, entire energy <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\pi $ </tex-math></inline-formula> -electron graph is computed by addition square degrees (valencies) its vertices (nodes). Later on, this computational result...

Abstract Metal-organic frameworks (MOFs) are porous materials formed by strong bonds between metal ions and organic ligands to represent very high surface area, large pore volume, excellent chemical stability unique morphology. Work on synthesis, structures characteristics of many MOFs shows the importance these with versatile applications, such as energy storage devices electrode materials, gas storage, heterogeneous catalysis, environmental hazard, assessment chemicals sensing different...

Abstract Topological index (TI) is a numerical invariant that helps to understand the natural relationship of physicochemical properties compound in its primary structure. George Polya introduced idea counting polynomials chemical graph theory and Winer made use TI compounds working on paraffin's boiling point. The literature topological indices different graphs has grown extremely since time. Metal-organic network (MON) group consist metal ions organic ligands represent unique morphology,...

The first general Zagreb (FGZ) index (also known as the zeroth-order Randić index) of a graph <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>G</mi> </math> can be defined id="M2"> <msup> <mrow> <mi>M</mi> </mrow> <mi>γ</mi> </msup> <mfenced open="(" close=")" separators="|"> </mfenced> <mo>=</mo> <mstyle displaystyle="true"> <msub> <mo stretchy="false">∑</mo> <mi>u</mi> <mi>v</mi> <mo>∈</mo> <mi>E</mi> </msub> open="[" close="]" <msubsup> <mi>d</mi> <mo>−</mo> <mn>1</mn>...

The combination of mathematical sciences, physical chemistry, and information sciences leads to a modern field known as cheminformatics. It shows relationship between property structural attributes different types chemicals called quantitative-structures’ activity qualitative-structures’ relationships that are utilized forecast the chemical biological properties, in engineering technology. Graph theory has originated significant usage chemistry mathematics is famous graph theory. computing...

COVID-19 spread rapidly and jeopardised the physicians with not only treatment but also limited resources new working style. This study aimed to investigate experience of in Pakistan as frontline workers for patients. The employed a qualitative design used Haas's adaptation Colaizzi method analysis. respondents interview were selected based on purposive sampling those contacted who treating patients Lahore, Pakistan. results revealed many challenges faced by Pakistani which included physical...

Economic Dispatch (ED) is one of the major concerns for efficient and economical operation modern power system. Actual ED problem non-convex in nature due to Ramp Rate Limits (RRL), Valve-Point Loading Effects (VPLE), Prohibited Operating Zones (POZs). It generally converted into a convex as mathematical programming based approaches cannot handle cost functions except dynamic programming, which also suffers from curse dimensionality. Heuristic techniques are potential solution methodologies...

Board diversity has lately being a heavily contested topic of research. Women, having unique pool resources and human capital, bring diverse skills to the board that could improve performance which positively impacts firm value. This study aims investigate gender its impact on firms’ in Pakistan. More specifically, this compares different characteristic firms with without boards. We also analyzed effect women (WOB) measures presence control variables. These included Return assets, equity...

Solar energy is the most abundant form of on this planet. In Europe and other countries with relatively low temperatures, where hot water one basic needs for human beings, solar collectors are used to fulfilling their needs. paper performance collector will be analyzed using ANSYS software. Under specific conditions, different analyses performed evaluate a containing as heat transfer fluid. A Computational Fluid Dynamics, CFD analysis check capability copper (Cu) aluminum (Al). The surging...

In this paper, we first obtain some q-Hermite-Hadamard type inequalities for the product of two convex functions. Then by using co-ordinated functions, establish new inequalities. The results in work generalize several obtained earlier studies.

Topological index (TI) is a graph‐theoretic tool that used to study different physical and structural properties of the networks in various disciplines science such as computer science, chemistry, information technology. In this article, we transition metal tetra‐cyano‐benzene organic by computing their M‐polynomials topological indices (TIs). At end, comparison also included between all computed degree‐based show betterness.

Cotton is the backbone of Pakistan’s economy. More than half export Pakistan depends on cotton and cotton-based products. Morphological quantitative traits are important for estimation yield. In this regard, a study was conducted to evaluate morphological responses crop at experimental farm MNS-University Agricultural Multan during year 2019-2020. Four varieties with different time windows (early, normal late) were sown in randomized complete block design (RCBD) split plot arrangement....

Board diversity has lately being a heavily contested topic of research. Women, having unique pool resources and human capital, bring diverse skills to the board that could improve performance which positively impacts firm value. This study aims investigate gender its impact on firms’ in Pakistan. More specifically, this compares different characteristics firms with without boards. We also analyzed effect women (WOB) measures presence control variables. These included Return assets, equity...

Objective: To compare the open appendectomy with &amp; without peritoneum closure in term of post-operative pain and operative time. Study Design: Comparative study. Setting: EAST Surgical Ward, MAYO Hospital Lahore, Pakistan. Period: July 2019 to June 2020. Material Methods: Sample size 150 patients were selected by consecutive non probability sampling technique. Patients divided into 2 groups 75 each group. In Group A patients, was closed while B not closed. The results both compared. Data...

To ensure plant identification, set parameters of standardization that support and prevent adulteration admixture, to find out any possible skin irritation effect crude extracts parts very commonly used condiment Kasuri methi, (Trigonella foenum-graecum) in Pakistan. For pharmacognostic research, various evaluations were done focusing on macroscopic microscopic studies the transversely cut section, peeled off epidermis, powdered stuff different observe anatomical features types cells,...