Milan Nath

  • Professor
  • Department of Mathematical Sciences
  • Tezpur University
  • Tezpur - 784028
Email: milan[at]tezu[dot]ernet[dot]in

Academic Background

  • M.Sc. from Gauhati University
  • Ph.D. from IIT Guwahati
    • Thesis Title: Some Aspects of Spectra of Unicyclic Graphs

    Research Interests

    • Graphs and Matrices.
    • Extremal Graph Theory

    My PhD Students

    • Somnath Paul (2014): On the Distance Spectral Radius and Lapalacian Matrices of Graphs
    • Deepak Sarma (2019): A study on some matrix functions of a graph
    • Kongkona Tamuly: Ongoing

    Publications

    • M. Nath and B. K. Sarma :: On the null-spaces of acyclic and unicylic graphs, Linear Algebra and its Applications 427 (2007) 42-54

    • M. Nath and B. K. Sarma :: On the minimal configuration unicyclic graphs, Linear and Multilinear Algebra 57 (2009) 19-27

    • S. Barik, M. Nath, S. Pati and B. K. Sarma :: Unicyclic graphs with the strong reciprocal eigenvalue property, Electronic Journal of Linear Algebra 17 (2008) 139-153

    • M. Nath :: On the null-spaces of bicyclic singular graphs, Discrete Mathematics, Algorithms and Applications 3 (2011) 87-99

    • M. Nath :: On the second largest spectral radius of unicyclic bipartite graphs, Discrete Mathematics, Algorithms and Applications 3 (2011) 253-258

    • M. Nath :: Minimal configuration bicyclic graphs, Linear and Multilinear Algebra 61 (2013) 255-264

    • S. S. Bose, M. Nath and S. Paul :: Distance spectral radius of graphs with $r$ pendent vertices, Linear Algebra and its Applications 435 (2011) 2828-2836

    • S. S. Bose, M. Nath and S. Paul :: On the distance spectral radius of cacti, Linear Algebra and its Applications 437 (2012) 2128-2141

    • M. Nath and S. Paul :: On the distance spectral radius of bipartite graphs, Linear Algebra and its Applications 436 (2012) 1285-1296

    • M. Nath and S. Paul :: On the minimal distance spectral radius in the class of bicyclic graphs, Discrete Mathematics, Algorithms and Applications 6(2014)

    • M. Nath and S. Paul :: A note on the distance spectral radius of some graphs, Discrete Mathematics, Algorithms and Applications 6 (2014)

    • M. Nath and S. Paul :: Graph transformation and distance spectral radius, Discrete Mathematics, Algorithms and Applications 5(2013)

    • M. Nath and S. Paul :: On the distance spectral radius of trees, Linear and Multilinear Algebra 61 (2013) 847-855

    • S. S. Bose, M. Nath and S. Paul :: On the maximal distance spectral radius of graphs withiout a pendent vertex, Linear Algebra and its Applications 438 (2013) 4260-4278

    • M. Nath and S. Paul :: On distance Laplacian spectra of graphs, Linear Algebra and its Applications 460 (2014) 97-110

    • M. Nath and S. Paul :: On the spectra of graphs with edge-pockets, Linear and Multilinear Algebra 63(2015) 509-522

    • R. B. Bapat, D. Kalita, M. Nath and D. Sarma ::Convex and quasiconvex functions on trees and their applications, Linear Algebra and its Applications 533(2017), 210-234

    • S. S. Bose, M. Nath and D. Sarma :: Maximal distance spectral radius of trees, Discrete Mathematics, Algorithms and Applications 11 (02), 1950025 (2019)