The liberation set in the inverse eigenvalue problem of a graph
林晉宏教授中山大學應用數學系 15:30 – 17:00 鴻經館 M107
Abstract：
In a spring-mass vibration system, the inverse problem is to use the vibration frequency to determine the stiffness of each spring and the weight of each mass. Mathematically, this is equivalent to using the spectrum of a matrix to determine the entries of the matrix. Such a problem is studied in the inverse eigenvalue problem of a graph. In this talk, we will go through the history of this problem and introduce a tool called zero forcing for analyzing the multiplicity. Beyond that, we will use zero forcing techniques to generate liberation sets, which provide a convenient way to construct matrices with a given spectrum.