Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Polynomial Graph Plotter This project allows users to dynamically create and plot polynomial functions of varying degrees with user-defined coefficients and intercepts. The graph shows the polynomial ...

The Seidel eigenvalues polynomial of the graph G is S G ( λ )=det ( λI−S ( G ) ) . If all the Seidel eigenvalues of the graph G are integers, then G is called a Seidel integer graph. In this paper, we ...

We investigate graph convolution networks with efficient learning from higher-order graph convolutions and direct learning from adjacency matrices for node classification. We revisit the scaled graph ...

Although graph structures have proved useful in high level vision for object recognition and matching, they can prove computationally cumbersome because of the need to establish reliable ...

Abstract. Let 𝐼(𝐺;𝑥) denote the independence polynomial of a graph 𝐺. In this paper we study the unimodality properties of 𝐼(𝐺;𝑥) for some composite graphs 𝐺. Given two graphs 𝐺₁ and 𝐺₂, let ...

Also we construct some families of graphs whose real domination roots are only -2 and 0. Finally, we conclude by discussing the domination polynomials of a related family of graphs, the 𝑛-book graphs ...

How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This puzzle is the focus of recent research by mathematicians Claudia Fevola ...

By exploring positive geometry, mathematicians are revealing hidden shapes that may unify particle physics and cosmology, offering new ways to understand both collisions in accelerators and the ...