Dr. Sadia Noureen
Dr. Sadia Noureen is a lecturer in the Department of Mathematics at the University of Gujrat, Pakistan, where she has been serving since 2007. She earned her PhD in Mathematics from the National University of Computer and Emerging Sciences (FAST), Lahore Campus, in 2021 under the supervision of Prof. Dr. Akhlaq Ahmad Bhatti. Her research interests include in Discrete Mathematics, Combinatorics, and Chemical Graph Theory. She has successfully supervised 5 MPhil students and currently mentoring 4 BS students, 3 MPhil students, and 1 PhD student. Her dedication to mathematical research and education contributes significantly to the academic growth of her students and the department.
My research focuses on discrete mathematics, combinatorics, and chemical graph theory, emphasizing developing new mathematical structures and techniques that contribute to theoretical and applied domains. My work in combinatorics involves studying counting techniques, extremal problems, and combinatorial designs with applications in diverse mathematical and computational areas. Furthermore, my research in chemical graph theory is centered on modeling molecular structures using graph-theoretic techniques, investigating topological indices, and analyzing the mathematical properties of chemical compounds to contribute to cheminformatics and computational chemistry.
- Doctor of Philosophy in Mathematics,National University of Computer And Emerging Sciences, Islamabad
- Master of Philosophy,University of Gujrat
- Master of Science,University of Punjab
- Bachelor of Science,University of Punjab
- Fsc,Federal Board of Intermediate And Secondary Education, Islamabad
- Member Admission Committee Work as a member of admission committee during admissions in Department of Mathematics
| Student Name | Degree | Title | Status / Completed Year |
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| Saliha Kamran | MS | ON THE CHOROMATICITY OF MOLECULAR GRAPHS The theory of chemical graphs is an area of mathematical chemistry that has hada significant impact on the advancement of chemical research. We refer to everyindependent integer that describes some aspects of a graph as a topological indexof a related molecular structure. It is clear that the number of vertices and edgesvaries according to topology. These indices are used in quantitative structure-activity relationships (QSAR), which link a molecule’s properties to its chemicalstructure. Topological indices have gained recognition in the development of drugsand computational chemical research approaches. On the other hand, chromaticityis a quantitative measure of color quality independent of brightness that consistsof two independent characteristics. These are frequently characterized as hue andcolorfulness, which are sometimes known as saturation, chroma, intensity, or exci-tation purity. These factors imitate how the human eye interprets color, providingus with visual signals as we navigate the environment. In chemical graph theory,one type of graph polynomial that is explored is the chromatic polynomial. Itcounts the number of graph colorings as a function of the number of colors. Inthis thesis, we investigated the chromatic polynomials of several molecular struc-tures, as these polynomials are necessary to ascertain the concentration of a certaindrug in a patient’s blood at different times. These polynomials are useful in graphcoloring difficulties and have links to chromaticity and other graph theoretical fea-tures. Also, we calculated their topological indices to analyze their physical andchemical characteristics, which shows complete connections across several scien-tific fields. We provide an accurate formula for the Sombor invariants, includingthe elliptic Sombor index and the modified elliptic Sombor index, and the compu-tation of some molecular structures of phenylazomethine dendrimer, bismuth (III)iodide, nanostar dendrimer, triangular oxide-silicate and chain silicate networksin connection to the ad-hoc Lanzhou index is addressed. Furthermore, the chem-ical applicability and degeneracy of these indices on the set of octane isomers arediscussed. | 2023-2024 |
| Abdul Moeed | MS | THE EXTREMUM BOUNDS ON SOME VARIANTS OF ZAGREB INDICES OF CHEMICAL GRAPHS HAVING FIXED SEGMENTS The quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR) research fields involve a lot of topological indicesbased on the vertex degrees of the associated chemical graphs. One of the mostwell-known research areas in chemical graph theory is the task of determiningupper bounds on a topological index over a particular class of graphs given var-ious additional conditions and of describing associated extremal graphs. In thisthesis, the chemical trees with the maximum multiplicative sum Zagreb index areidentified from the class of trees with the specified order and a certain number ofsegments (or vertices of degree 2). Moreover, the class of trees that achieve thesebounds are also obtained. | 2022-2023 |
| Mubashar Abbas | MS | THE CHARACTERIZATION OF EXTREMAL ALKANE STRUCTURES WITH RESPECT TO SOME DEGREE-BASED TOPOLOGICAL INDICES Chemical isomers are applied to model the physical properties of graphs known asalkanes. Numerous alkane’s physical characteristics, including boiling points, areconnected to the geometrical structure of chemical graphs, providing informationabout their physical characteristics. Topological indices, which are graph-theoreticinvariants of chemical isomers, have been demonstrated to be useful tools forstudying the physical chemical and properties of alkanes. In this thesis, the alkaneshaving the maximum multiplicative sum Zagreb index are characterized by thecollection of chemical trees of a fixed order and with a given number of branchingvertices. The problem of finding sharp upper bounds on the multiplicative SumZagreb index is also addressed for the chemical trees with a given number ofbranching vertices and fixed order. The aforementioned class of chemical structureattaining these bounds is also investigated. | 2022-2023 |
| Rimsha Batool | MS | ON CYCLE CONTAINING GRAPHS WITH ATOM-BOND SUM-CONNECTIVITY INDEX The quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR) research fields involve a lot of topological indicesbased on the vertex degrees of the associated chemical graphs. One of the mostwell-known research areas in chemical graph theory is the task of determiningupper bounds on a topological index over a particular class of graphs given var-ious additional conditions and of describing associated extremal graphs. In thisthesis, the chemical trees with the maximum multiplicative sum Zagreb index areidentified from the class of trees with the specified order and a certain number ofsegments (or vertices of degree 2). Moreover, the class of trees that achieve thesebounds are also obtained. | 2022-2023 |
| Sahar Aftab | MS | ANALYSIS OF DENDRIMERS WITH RESPECT TO SOME TOPOLOGICAL INDICES Topological descriptors of chemical networks are numeric numbers that allow usto obtain information about a compound’s structure and expose its underlyingproperties without the requirement for validation. The topological indices basedon the vertex degrees of the associated chemical graphs form the foundation forthis research. One of the most well-known research problems in mathematicalchemistry is how to discover the topological indices across numerous nanostruc-tures (dendrimers and fractal) and examine their properties. Dendrimers recentlyemerged as a strong category of nanoparticles in the realm of nanomedicine dueto their distinct structural properties and fractals are infinitely complex patternsthat are self-similar across different scales. In order to bring the medicationsto mark the carrier vehicle, a specific design with the right qualities (topolog-ical invariants) might be targeted using the physical chemistry of dendrimers.This problem persists for many well-known graph generations and degree-basedtopological discriptors in the literature. In this thesis, the chemical structures ofdendrimers and fractals with degree based topological index that is “atom-bondsum-connectivity index (ABS) ”are characterized. The degree based atom-bondsum-connectivity index was developed to replace three premature molecular in-dices, including connectivity (Randic), sum-connectivity and atom-bond connec-tivity. We give an exact formula for the ABS index of an unbounded class ofdendrimer nanostructures and different fractals in this study. The computation ofnumerous dendrimers and fractals with respect to ABS index is addressed. It isdiscussed how these structures characteristics can be used in medicine, pharma-cology, and phytopharmacology. Next, we figure out the atom-bond connectivityindex (ABC) for some structures and also investigates the comparison of selectedmolecules by two unique topological indices: the ABS index and the ABC index. | 2022-2023 |
- Coordinator MS/PhD Program in Mathematics
- Member Admission Committee
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1. Xiujun Zhang, Sahar Aftab, Sadia Noureen, Adnan Aslam and Shoby M. Ibrahim “Topological descriptors and connectivity analysis of coronene fractal structures: insights from atom-bond sum-connectivity and Sombor indices” Zeitschrift Fur Naturforschung Section A-A Journal Of Physical Sciences, February 2025 DOI:
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2. Sadia Noureen, Rimsha Batool, Abeer M. Albalahi, Yilun Shang, Akbar Ali “On Tricyclic Graphs with Maximum Atom–Bond Sum–Connectivity Index” Heliyon , July 2024 DOI:
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3. Guofeng Yu, Sahar Aftab, Sadia Noureen, Adnan Aslam, Fairouz Tchier “Topological characterization of PETAA and bismuth(III) iodide: Flair drug carriers and therapeutic agents” Phosphorus Sulfur And Silicon And The Related Elements, July 2024 DOI:
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4. Sadia Noureen, Akbar Ali, Akhlaq Ahmad Bhatti, Abdulaziz M. Alanazi, Yilun Shang “Predicting Enthalpy of Formation of Benzenoid Hydrocarbons and Ordering Molecular Trees Using General Multiplicative Zagreb Indices” Heliyon , May 2024 DOI:
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5. Akbar Ali, Sadia Noureen, Abdul Moeed, Naveed Iqbal, Taher S. Hassan “Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index” Mathematics, April 2024 DOI:
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6. H. Huag, Sahar Aftab, Sadia Noureen, A. Aslam “Analysis of porphyrin, PETIM and zinc porphyrin dendrimers by atom-bond sum-connectivity index for drug delivery” Molecular Physics, May 2023 DOI:
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7. Sadia Noureen, Akbar Ali “Maximum atom-bond sum-connectivity index of n-order trees with fixed number of leaves” Discrete Mathematics Letters, March 2023 DOI:
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8. Akbar Ali, Sadia Noureen, Akhlaq Ahmad Bhatti, Abeer M. Albalahi “On optimal molecular trees with respect to Sombor indices” AIMS Mathematics, December 2022 DOI:
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9. Sadia Noureen, Akhlaq Ahmad Bhatti “On the Trees with Given Matching Number and the Modified First Zagreb Connection Index” Iranian Journal of Mathematical Chemistry, September 2021 DOI:
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10. Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali “A Note on the Minimum Wiener Polarity Index of Trees with a Given Number of Vertices and Segments or Branching Vertices” Discrete Dynamics In Nature And Society, January 2021 DOI:
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11. Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali “Towards the solution of an extremal problem concerning the Wiener polarity index of alkanes” Chaos Solitons & Fractals, January 2021 DOI:
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12. Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Alli “On the Modified First Zagreb Connection Index of Trees of a Fixed Order and Number of Branching Vertices” Iranian Journal of Mathematical Chemistry, December 2020 DOI:
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13. Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali “Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices” Discrete Dynamics In Nature And Society, April 2020 DOI:
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14. Sadia Noureen, Akbar Ali, Akhlaq Ahmad Bhatti “On the extremal Zagreb indices of n-vertex chemical trees with fixed number of segments or branching vertices” Match-Communications In Mathematical And In Computer Chemistry, January 2020 DOI:
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15. Sadia Noureen, Akhalq Ahmad Bhatti, Akbar Ali “Extremal trees for the modified first Zagreb connection index with fixed number of segments or vertices of degree 2” Journal of Taibah University for Science, December 2019 DOI:
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16. Zaffar Iqbal, A. R. Nizam, U. Ali, Sadia Noureen “GROWTH RATE OF BRAID MONOIDS , MB_n+1, n<=6” Science Int. (Lahore), March 2015 DOI: