05C50 Online Seminar: Mahsa Shirazi
- Date: 02/10/2023
- Time: 08:00
Online
On weakly Hadamard diagonalizable graphs
An interesting question in spectral graph theory is about the structure of the eigenvectors of matrices associated with graphs. A graph is weakly Hadamard diagonalizable (WHD) if its Laplacian matrix L can be diagonalized with a weakly Hadamard matrix. In other words, if L = PDP^{-1} , where D is a diagonal matrix and P has the property that all entries in P are from {0,-1,1} and that P^TP is a tridiagonal matrix. In this talk, I will present some necessary and sufficient conditions for a graph to be WHD. Some families of graphs whichare WHD will also be presented.
This work is part of a research project done with the discrete math research group (DMRG) at the University of Regina.
Stephen Kirkland, University of Manitoba
Hermie Monterde, University of Manitoba
The 05C50 Online is an international seminar about graphs and matrices held twice a month on Fridays.
Time: 8AM Pacific/10AM Central
For more information, visit https://sites.google.com/view/05c50online/home.
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