Therefore, this paper proposes a linear graph neural network framework [Linear Graph Neural Network (LGNN)] with superior performance. The model first preprocesses the input graph, and uses symmetric ...

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By reordering the node indices of the original adjacency matrix, linear layouts provide knowledge of latent graph structures. Conventional linear layout methods commonly aim to find an optimal ...

Discrete Ricci curvature formulations offer novel perspectives for characterizing geometric properties of weighted graphs. This work proposes continuous piecewise linear Ricci curvature flows and ...

Our main statements apply to systems interconnected over generic directed connected graphs and, most significantly, the proofs are constructive. Indeed, even though our controllers are reminiscent of ...

A quantum framework for Combinatorial Optimization Problem with linear objective functions. It also can solve graph problem if it's optimization objective function can be represented as linear ...

Keywords: linear framework, graph theory, Matrix-Tree theorems, rational functions, Markov processes, first-passage times Citation: Nam K-M and Gunawardena J (2023) The linear framework II: using ...