Polynomial graph filter (PGF) is an important tool for processing the irregular data captured from various complex networks, so the design of PGF is studied in this paper. First, Legendre polynomials ...

Understanding the underlying graph structure of a nonlinear map over a particular domain is essential in evaluating its potential for real applications. In this paper, we investigate the structure of ...

"While the QEC community knew planar graphs simplified MLE decoding ... a mathematical method that allows exact computation of partition functions for planar spin glass systems in polynomial time, ...