It is well known that Neumann eigenvalues on Euclidean domains do not satisfy monotonicity properties. Also, under diameter constraint on Euclidean domains, Neumann eigenvalues can not be bounded from the above. In this talk, Dr Sheela will discuss these properties of Neumann eigenvalues on simple Graphs and provide some sharp bounds of these eigenvalues.
ABOUT THE SPEAKER
Dr Sheela Verma is an Assistant Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi. She works in the area of Spectral Geometry, Analysis on Manifolds, Riemannian Geometry. She has an extensive publication record in internationally recognised, peer-reviewed journals.