Prof. Rajesh Kannan

M. Rajesh Kannan, currently works as Assistant professor in the department of Mathematics, Indian Institute of Technology Kharagpur. His areas of interest include Spectral graph theory, Matrix theory and Functional analysis.

Topics for discussion:

• Laplacian matrices of graphs: Eigenvalues of some graphs, Matrix-Tree theorem. Algebraic connectivity: classification of trees, Monotonicity properties of Fielder vector. Normalized Laplacian: Basic properties, Cheegar’s inequality, Expander mixing lemma. Random walks on graphs: stationary distribution, mixing time.