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This work investigates whether graph neural networks (GNNs) can learn to distinguish prime from composite integers through graph-based representations of numbers. Each integer is represented by a modular-inverse graph whose structure is determined by multiplicative inverse relations modulo the integer. Importantly, the...
Determining whether one finite group is isomorphic to a subgroup of another is a fundamental problem in computational group theory. In this work, we propose a Siamese Graph Neural Network (Siamese GNN) for subgroup prediction using Cayley graph representations of finite groups. Each input group is represented by its un...
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