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 ...

Last summer in Barcelona, Joachim Kock floated the idea that there might be a connection between two invariants of graphs: the Tutte polynomial and the magnitude function. Here I’ll explain what these ...

Save guides, add subjects and pick up where you left off with your BBC account. Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able ...

Theorem1.1 (Lv Shengmei ) The Seidel eigenvalues polynomial and its spectrum for the complete graph are given, and it is proven that the complete graph is a Seidel integral graph. Theorem1.2 (Lv ...

Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. ... To clarify ...

Spectral graph filters are a key component in state-of-the-art machine learning models used for graph-based learning, such as graph neural networks. For certain tasks stability of the spectral graph ...

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 ...