The system function of a recursive variable filter (VF) has both numerator and denominator that are parameterized as the polynomial functions of a parameter called tuning parameter. That is, the VF ...

Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.

Topological indices (TIs) play a crucial role in studying graphene's structure as mathematical functions mapping molecular graphs to real numbers, capturing their topological characteristics. To ...

Graph filtering plays a pivotal role in the domain of graph signal processing. In this paper, we propose a novel algorithm for designing autoregressive moving average (ARMA) graph filters. Our method ...

The field of graph coloring is filled with NP-complete problems, which may seem simple and straightforward in the problems themselves, but proving them mathematically is extremely difficult. To ...

A terminal-based, single-variable polynomial function graphing calculator, written in C++ This program implements a variation of the Shunting-Yard algorithm, to convert human written algebraic ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

An algorithm is developed for the simultaneous optimization of several response functions that depend on the same set of controllable variables and are adequately represented by polynomial regression ...

We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Potts ...