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.