Abstract: 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 ...

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 behavior of elementary particles ...

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 ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Department of Mathematics and Statistics, Qinghai Minzu University, Xining, China. Since then, much attention has been paid to this topic, but they mainly focus on undirected graphs and integral trees ...

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 ...

NCERT Solutions for Class 10 Maths Chapter 2, Polynomials: Practicing NCERT questions will help students build their understanding and problem-solving skills. These questions are also important from ...

The electron is the basic unit of electricity, as it carries a single negative charge. This is what we're taught in high school physics, and it is overwhelmingly the case in most materials in nature.

Before you begin, make sure your graphing calculator is turned on and all previous data has been cleared by pressing the “Clear” button. Step 2: Access the Fraction Menu To access the fraction menu, ...

If you find this work useful, please cite our paper. Note that the first three authors contributed equally to this work. Graph Neural Networks (GNNs) exploit signals from node features and the input ...

Math teachers, what if there was a way to help students who say “I’m not a math person” or “I’m just not good at math”? When a student lacks math confidence, every challenge along the way simply ...