This work lies across three areas of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link led to the calculation of some Kronecker coefficients by computing constant terms and conversely the computations of certain constant terms by computing Kronecker coefficients by symmetric function...

The stochastic Kronecker Graph model can generate large random graph that closely resembles many real world networks. For example, the output graph has a heavy-tailed degree distribution, has a (low) diameter that effectively remains constant over time and obeys the so-called densification power law [1]. Aside from this list of very important graph properties, one may ask for some additional in...

An invertible matrix is called a Perron similarity if one of its columns and the corresponding row inverse are both nonnegative or nonpositive. Such matrices relevance import in study eigenvalue problem. In this work, Kronecker products similarities examined used to construct ideal all whose rows extremal.