A5024219753- Commutative Algebra and Its Applications
- Rings, Modules, and Algebras
- Graph theory and applications
- Advanced Topics in Algebra
- Polynomial and algebraic computation
- Algebraic structures and combinatorial models
- Synthesis and Properties of Aromatic Compounds
- Computational Drug Discovery Methods
- Heat Transfer and Optimization
- Algebraic Geometry and Number Theory
- Graph Labeling and Dimension Problems
- Nanofluid Flow and Heat Transfer
- Multi-Criteria Decision Making
- graph theory and CDMA systems
- Heat Transfer Mechanisms
- Fuzzy Systems and Optimization
- Topological and Geometric Data Analysis
- Sexuality, Behavior, and Technology
- Inflammasome and immune disorders
- Grey System Theory Applications
- LGBTQ Health, Identity, and Policy
- Dendrimers and Hyperbranched Polymers
- Risk and Safety Analysis
- Advanced Combinatorial Mathematics
- Imbalanced Data Classification Techniques
Aga Khan University
2024
COMSATS University Islamabad
2019-2022
Fatima Jinnah Women University
2017
Government College University, Lahore
2014-2016
Heat transfer is a vital fact of daily life, engineering, and industrial mechanisms such as cryogenic systems, spaceborne thermal radiometers, electronic cooling, aircraft engine environmental control etc. The addition nanoparticles helps to stabilize the flowing nanofluid keeps symmetry structure. Purpose: In this attempt, effect endothermic/exothermic chemical reactions accompanied by activation energy on ternary hybrid with geometry wedge taken into consideration. mathematical form PDEs...
Abstract Topological indices are the fixed numbers associated with graphs. In recent years, mathematicians used to check pharmacology characteristics and molecular behavior of medicines. this article first Zagreb connection number index is computed for nanotubes VC 5 C 7 [ p , q ] HC Boron triangular Nanotubes. Also, same Quadrilateral section $P_{m}^{n}$ $P_{m+\frac{1}{2}}^{n}$ cuts from regular hexagonal lattices.
Topological indices have been computed for various molecular structures over many years. These are numerical invariants associated with and helpful in featuring properties. Among these descriptors, the eccentricity connectivity index has a dynamic role due to its ability of estimating pharmaceutical In this article, eccentric connectivity, total augmented first Zagreb eccentricity, modified second edge version indices, graph PolyEThyleneAmidoAmine (PETAA) dendrimer. Moreover, explicit...
Heart diseases may perhaps consequence in debility, severe disorder, and meager quality of lifespan. Furthermore, it could also be lethal. Hence inferring heart disease has turn into foremost distress currently. This paper centers on various machine learning practices which assist ascertaining perceiving innumerable diseases. Multifarious approaches conversed here are Hidden Markov Models, Support Vector Machine, Feature Selection, Computational intelligent classifier, prediction system,...
Irregularity indices are usually used for quantitative characterization of the topological structures non-regular graphs. In numerous problems and applications, especially in fields chemistry material engineering, it is useful to be aware irregularity a molecular structure. Furthermore, evaluation graphs valuable not only structure-property relationship (QSPR) structure-activity (QSAR) studies but also various physical chemical properties, including entropy, enthalpy vaporization, melting...
Abstract We find a class of block graphs whose binomial edge ideals have minimal regularity. As consequence, we characterize the trees Also, show that ideal graph has same depth as its initial ideal.
Here we have employed three trapezoidal fuzzy numbers (TT2FNs) to deal with a multi-criteria decision making (MCDM) problems. The introduced technique takes into consideration the left and right areas of types membership memberships involved in TT2FNs also considers risk attitu de maker. presented method is more generalized since used TT2FNs, which are effective capturing uncertainty than IT2FSs, just like triangular has better representational power simple interval numbers. We considered...
Multi-criteria decision making (MCDM) problems have been solved involving various types of fuzzy sets. We know that interval type-2 sets (IT2FSs) are the most representative known since they ability to capture both type linguistic uncertainties associated with a word n amely, intra-personal and inter-personal respectively. Here for MCDM problems, we will use three trapezoidal numbers (TT2FNs) which more effective in capturing uncertainty than IT2FSs, just like triangular has better...
Topological indices (TIs) assign a numeric value to graph or molecular structure. Due their ability predict the physiochemical properties of graph, several TIs have been introduced and studied, mainly based on degree distance. For vertex <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mi>v</mi></math> , maximum distance id="M2"><mi>v</mi></math> from any other in id="M3"><mi>G</mi></math> is called eccentricity id="M4"><mi>v</mi></math> which denoted by id="M5"><mi>σ</mi><mfenced...
Abstract In recent years, several structure-based properties of the molecular graphs are understood through chemical graph theory. The <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>G</m:mi></m:math> G a molecule consists vertices and edges, where represent atoms in edges bonds between these atoms. A numerical quantity that gives information related to topology is called topological index. Several indices, contributing theory, have been defined vastly studied. Recent inclusions...
In this paper, we explore the spanning simplicial complex of wheel graph W n on vertex set [n]. Combinatorial properties are discussed, which then used to compute f-vector and Hilbert series face ring k[Δ s (W )] for Δ ). Moreover, associated primes facet ideal [Formula: see text] also computed.
Let IG be the binomial edge ideal on generic 2×n - Hankel matrix associated with a closed graph G vertex set [n]. We characterize graphs for which has maximal regularity and is Gorenstein.
We compute the depth and (give bounds for) regularity of generalized binomial edge ideals associated with block graphs.
Abstract A graph ℘ is said to be edge - magic total (EMT if there a bijection Υ : V ( ) ∪ E → {1, 2, …, | )|} s.t ., υ + υν ν constant for every ∈ ). An EMT will called strong (SEMT) )) = )|}. The SEMT strength , sm ), of the minimum all constants where runs over valuations this defined only has at least one such valuation. Furthermore, deficiency μ s either non-negative integer n that nK 1 or +∞ no . In paper, we present edge-magicness and disjoint union 2-sided generalized comb with...
Let $I_G$ be the binomial edge ideal on generic 2 x n - Hankel matrix associated with a closed graph $G$ vertex set [n]. We characterize graphs for which has maximal regularity and is Gorenstein.
We find a class of block graphs whose binomial edge ideals have minimal regularity. As consequence, we characterize the trees Also, show that ideal graph has same depth as its initial ideal.
Abstract Background Transgender people experience significant healthcare inequalities due to stigma and lack of acceptance. Physicians medical students have reported knowledge gaps regarding transgender health care (TGHC). Therefore, we conducted this study assess the perceived need for preferred approaches towards incorporation TGHC in curriculum any possible barriers that can arise. Methods A cross-sectional survey was amongst from accredited colleges Pakistan. Google forms were used...