How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the tiniest particles and the vast ...

Abstract: The construction of spectral filters for graph wavelet transforms is addressed in this paper. Both the undecimated and decimated cases will be considered. The filter functions are ...

Hyperbola and truncus functions are classified as power functions due to their distinct forms, characterised by negative exponents. Unlike polynomials, this form results in unique graphs that feature ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

The Hosoya polynomial H(G, λ) of a graph G has the property that its first derivative at λ = 1 is equal to the Wiener index. Sometime ago two distance-based graph invariants were studied - the Schultz ...

Mathematics is the study of order, relation and pattern. From its origins in counting and measuring it has evolved in highly sophisticated and elegant ways to become the language now used to describe ...