IITKGP

Mathematics

Faculty

Swarup Kumar Panda

Assistant Professor Grade-I

Mathematics

+91-3222-214764

spanda@maths.iitkgp.ac.in

Awards and Accolades

Personal Webpage Bio Sketch

Responsibilities

  • Assistant Warden, Patel Hall

Research Areas

  • Combinatorial Matrix Theory
  • I am interested in Combinatorial Matrix Theory. In linear Combinatorial Matrix Theory, researchers study graph structures via different properties of matrices associated with it. Among the various matrices associated with a graph, the adjacency matrix is probably the most popular and widely investigated one. Sometimes different structural properties of a graph gets characterized by different properties of the eigenvalues and the eigenvectors of the associated adjacency matrix. For example, it is well know that ‘a (simple) connected graph G is bipartite if and only if −a is an eigenvalue of G whenever a is an eigenvalue of G’. There are many interesting results exhibiting the relationship of the graph structure with the eigenvalues and eigenvectors.

    I am working to establish such relationships with regard to the concepts of inverse graph and reciprocal eigenvalue properties. In many ways these two concepts are related to each other. Both of these play important roles in quantum chemistry.
All Publications
  • On the inverse of a class of bipartite graphs with unique perfect matchings Panda S. K., Pati S. By Electronic Journal of Linear Algebra 29 89-101 (2015)
  • Almost Self-inverse graphs Bapat R. B., Panda S. K. By Linear and Multilinear Algebra 67 2065-2076 (2019)
  • Strong reciprocal eigenvalue property of a class of weighted graphs Bapat R. B., Panda S. K., Pati S. By Linear Algebra and its Applications 511 460-475 (2016)
  • On some graphs which possess inverses Panda S. K., Pati S. By Linear and Multilinear Algebra 64 1445-1459 (2016)
  • Graphs with reciprocal eigenvalue properties Panda S. K., Pati S. By Electronic Journal of Linear Algebra 31 511-514 (2016)
  • Unicyclic graphs with bicyclic inverses Panda S. K. By Czechoslovak Mathematical Journal 67 1133-1143 (2017)
  • Self-inverse unicyclic graphs and strong reciprocal eigenvalue property Bapat R. B., Panda S. K., Pati S. By Linear Algebra and its Applications 531 459-478 (2017)
  • On some graphs which satisfy reciprocal eigenvalue properties Panda S. K., Pati S. By Linear Algebra and its Application 530 445-460 (2017)
  • Inverses of weighted graphs Panda S. K., Pati S. By Linear Algebra and its Applications 532 222-230 (2017)
  • Inverses of bicyclic graphs Panda S. K. By Electronic Journal of Linear Algebra 32 217-231 (2017)
Completed Projects

Principal Investigator

  • On the Laplacian spectrum of hypergraphs
  • Self-inverse and Almost Self-inverse Graphs
Alumni members

Ph. D. Students

Aqib

Area of Research: Spectral Graph Theory

Jitul Talukdar

Area of Research: Combinatorial Matrix Theory

Kshitij Sharma

Area of Research: Combinatorial Matrix Theory

Shib Sankar Saha

Area of Research: Combinatorial Matrix Theory