Hilal Ganie | Spectral Graph Theory | Best Researcher Award

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Assist. Prof. Dr. Hilal Ganie | Spectral Graph Theory | Best Researcher Award

Assistant Professor at University of Kashmir, India📖

Dr. Hilal Ahmad Ganie, an accomplished mathematician from Jammu and Kashmir, India, is a dedicated educator and researcher with a profound interest in combinatorial matrix theory and spectral graph theory. With extensive teaching experience across academic institutions and a rich history of international collaboration, Dr. Ganie has made significant contributions to mathematical research and education.

Profile

Scopus Profile

Orcid Profile

Google Scholar Profile

Education Background🎓

  • B.Sc. in Mathematics, University of Kashmir, 2008
  • M.Sc. in Mathematics, Department of Mathematics, University of Kashmir, 2011
  • Ph.D. in Mathematics, Department of Mathematics, University of Kashmir, March 2016
    • Topic: Laplacian Energy of Graphs and Digraphs

Professional Experience🌱

Dr. Ganie has a dynamic teaching portfolio, including roles as a lecturer and guest lecturer at esteemed institutions. Currently, he serves as a +2 Lecturer with the Government School Education Department, Jammu & Kashmir, since 2017. His prior roles include teaching positions at Army Goodwill High School, Baramulla Public School, and the University of Kashmir. Additionally, he has actively engaged in academic peer review for leading journals in mathematics and computer science.

Research Interests🔬

Dr. Ganie’s research focuses on combinatorial matrix theory and spectral graph theory, emphasizing the spectral properties of matrices associated with graphs and digraphs. His expertise extends to the study of topological indices, adjacency matrices, Laplacian matrices, and their applications in various mathematical and computational contexts.

Author Metrics

Dr. Hilal Ahmad Ganie is a prolific author and researcher in the field of mathematics, with a strong publication record in high-impact journals and extensive international collaborations. His research work has garnered recognition across platforms, reflected in his comprehensive author profiles. He holds an ORCID ID (0000-0002-2226-7828), a Scopus Author ID (56444440700), and an active Google Scholar profile, showcasing citations and contributions in combinatorial matrix theory and spectral graph theory. Dr. Ganie is also a respected member of ResearchGate, where his collaborative and impactful work has connected him with scholars globally. Additionally, he serves as a reviewer for several prestigious journals, further cementing his reputation in the academic community.

Publications Top Notes 📄

1. On the Laplacian eigenvalues of a graph and Laplacian energy

  • Authors: S. Pirzada, H. A. Ganie
  • Published in: Linear Algebra and its Applications, Volume 486, Pages 454-468, 2015.
  • Citations: 76
  • Summary: This paper investigates the Laplacian eigenvalues of a graph and introduces new results on Laplacian energy, an important graph invariant. The study provides theoretical insights and applications related to the spectral properties of graphs.

2. Signless Laplacian energy of a graph and energy of a line graph

  • Authors: H. A. Ganie, B. A. Chat, S. Pirzada
  • Published in: Linear Algebra and its Applications, Volume 544, Pages 306-324, 2018.
  • Citations: 60
  • Summary: This work extends the concept of graph energy by focusing on the signless Laplacian matrix and the energy of line graphs. The authors present bounds, characterizations, and applications of these invariants in graph theory.

3. On the sum of the Laplacian eigenvalues of a graph and Brouwer’s conjecture

  • Authors: H. A. Ganie, A. M. Alghamdi, S. Pirzada
  • Published in: Linear Algebra and its Applications, Volume 501, Pages 376-389, 2016.
  • Citations: 46
  • Summary: This paper addresses Brouwer’s conjecture by analyzing the sum of Laplacian eigenvalues of graphs. The authors provide significant contributions to understanding spectral graph theory and validate conjectural bounds in this context.

4. Energy, Laplacian energy of double graphs and new families of equienergetic graphs

  • Authors: H. A. Ganie, S. Pirzada, A. Iványi
  • Published in: Acta Universitatis Sapientiae, Informatica, Volume 6(1), Pages 89-116, 2014.
  • Citations: 44
  • Summary: This study explores the energy and Laplacian energy of double graphs. The authors also introduce and analyze new families of equienergetic graphs, which have equal energy but differ structurally, advancing research on graph energy.

5. On Laplacian-energy-like invariant and Kirchhoff index

  • Authors: S. Pirzada, H. A. Ganie, I. Gutman
  • Published in: MATCH Communications in Mathematical and Computer Chemistry, Volume 73(1), Pages 41-59, 2015.
  • Citations: 41
  • Summary: This paper examines the Laplacian-energy-like invariant and its relationship with the Kirchhoff index, an essential metric in network analysis. The work provides theoretical development and computational approaches for these graph invariants.

Conclusion

Dr. Hilal Ahmad Ganie stands out as a highly qualified and deserving candidate for the Best Researcher Award. His strengths in spectral graph theory, impactful publications, and active engagement with the academic community make him a strong contender. To further solidify his position, emphasizing the real-world applications of his work, engaging in larger collaborative projects, and increasing global visibility would be beneficial.

Umar Ali | Graph Theory | Best Researcher Award

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Dr. Umar Ali | Graph Theory | Best Researcher Award

Post doc at University of Shanghai for Science and Technology,  China📖

Dr. Umar Ali is a skilled mathematician with a focus on graph theory, spectral graph theory, and mathematical chemistry. He holds a Ph.D. in Mathematics from Anhui University, China, where his research centered on resistance distance-based graph invariants and spanning trees in specific classes of graphs. With extensive academic training and a commitment to advancing mathematical knowledge, Dr. Ali is proficient in mathematical modeling, analysis, and software applications, aiming to provide bespoke solutions for real-world problems.

Profile

Scopus Profile

Education Background🎓

  • Ph.D. in Mathematics (2018-2022), School of Mathematical Sciences, Anhui University, Hefei, China.
    Dissertation: Resistance Distance-Based Graph Invariants and Spanning Tree in Some Classes of Graphs.
    Supervisor: Prof. Xiang-Feng Pan
  • MPhil in Mathematics (2015-2017), University of Management and Technology (UMT), Lahore, Pakistan.
    Dissertation: 3-Total Edge Product Cordial Labelling of Some Standard Classes of Graphs and Convex Polytopes.
    Supervisor: Dr. Zohaib Zahid
  • M.Sc. in Mathematics (2010-2013), University of the Punjab, Lahore, Pakistan.
  • B.Sc. in Mathematics (2007-2010), University of the Punjab, Lahore, Pakistan.

Professional Experience🌱

Dr. Umar Ali has served as a researcher and lecturer at several academic institutions, contributing to the advancement of mathematical sciences. His expertise lies in graph theory and algebraic combinatorics. He has collaborated with various international scholars and researchers on cutting-edge mathematical problems and is actively involved in the publication of research papers in prestigious journals. Dr. Ali has also been a reviewer for several scientific journals, enhancing his engagement with the academic community.

Research Interests🔬

Dr. Umar Ali’s research interests include:

  • Discrete Mathematics
  • Graph Theory
  • Spectral Graph Theory
  • Algebraic Combinatorics
  • Mathematical Chemistry
  • Chemical Graph Theory

Author Metrics

Dr. Ali has authored several research papers, with notable publications in journals such as Polycyclic Aromatic Compounds (IF 3.744) and Symmetry (IF 2.713). His contributions include work on the normalized Laplacian spectrum, Kirchhoff index, resistance distance, and spanning trees in various graph structures. He has published in SCI-indexed journals and contributed significantly to the mathematical community.

Publications Top Notes 📄

1. Computing the Laplacian Spectrum and Wiener Index of Pentagonal-Derivation Cylinder/Möbius Network

Authors: Ali, U., Li, J., Ahmad, Y., Raza, Z.
Journal: Heliyon
Year: 2024
Volume: 10
Issue: 2
Article Number: e24182
DOI: Link disabled (No DOI available)
Abstract: This paper examines the Laplacian spectrum and Wiener index of the pentagonal-derivation cylinder and Möbius network. These networks are studied in the context of graph theory and chemical graph theory, exploring how their mathematical properties influence their structure and behavior.

2. Computing the Normalized Laplacian Spectrum and Spanning Tree of the Strong Prism of Octagonal Network

Authors: Ahmad, Y., Ali, U., Siddique, I., Afifi, W.A., Abd-El-Wahed Khalifa, H.
Journal: Journal of Mathematics
Year: 2022
Article ID: 9269830
DOI: 10.1155/2022/9269830
Abstract: This paper explores the normalized Laplacian spectrum and spanning tree properties of the strong prism of an octagonal network. The study aims to provide a deeper understanding of the structural properties of networks with octagonal symmetry and their applications in network science.

3. Resistance Distance-Based Indices and Spanning Trees of Linear Pentagonal-Quadrilateral Networks

Authors: Ali, U., Ahmad, Y., Xu, S.-A., Pan, X.-F.
Journal: Polycyclic Aromatic Compounds
Year: 2022
Volume: 42
Issue: 9
Pages: 6352–6371
DOI: Link disabled (No DOI available)
Abstract: This article focuses on the resistance distance-based indices and spanning tree properties of linear pentagonal-quadrilateral networks. It discusses how these networks’ resistance distance properties and spanning trees provide insight into the connectivity and robustness of the systems in question, with particular relevance to chemical graph theory.

4. On Normalized Laplacian, Degree-Kirchhoff Index of the Strong Prism of Generalized Phenylenes

Authors: Ali, U., Ahmad, Y., Xu, S.-A., Pan, X.-F.
Journal: Polycyclic Aromatic Compounds
Year: 2022
Volume: 42
Issue: 9
Pages: 6215–6232
DOI: Link disabled (No DOI available)
Abstract: This paper delves into the normalized Laplacian and degree-Kirchhoff indices of the strong prism of generalized phenylenes, contributing to the field of chemical graph theory. The work analyzes the impact of these indices on the stability and chemical properties of molecular networks.

5. On Normalized Laplacians, Degree-Kirchhoff Index, and Spanning Tree of Generalized Phenylene

Authors: Ali, U., Raza, H., Ahmed, Y.
Journal: Symmetry
Year: 2021
Volume: 13
Issue: 8
Article Number: 1374
DOI: Link disabled (No DOI available)
Abstract: This research investigates the normalized Laplacian, degree-Kirchhoff index, and spanning tree of generalized phenylene. The work aims to provide insights into the mathematical properties of molecular networks, particularly focusing on how these indices relate to the stability and behavior of chemical structures.

Conclusion

Dr. Umar Ali is a highly deserving candidate for the Best Researcher Award based on his deep expertise in graph theory, innovative contributions to chemical graph theory, and the substantial impact his research has had on both theoretical and applied mathematics. His academic credentials, research collaborations, and high-quality publications place him in an excellent position for this prestigious recognition.

His strengths in research output, theoretical advancements, and academic contributions clearly demonstrate that he is on the path to becoming a leading figure in his field. A slight improvement in interdisciplinary applications and engagement with industry could further elevate his already impressive profile. Given his outstanding achievements, Dr. Ali is a fitting candidate for the Best Researcher Award.