<p>This paper introduces a novel framework for accurately predicting Super (a, d)-Edge Antimagic Total Labeling (SEATL) values in dynamic and structurally intricate networks using cutting-edge deep learning techniques. The framework leverages real-time data streams from domains such as biological processes, electrical systems, and communication infrastructures to model ever-evolving graphs. A Scaled Dot-Product Attention-based Graph Neural Network (GNN) is proposed to efficiently extract and learn complex topological patterns while adhering to antimagic labeling requirements. This deep learning pipeline integrates dynamic graph construction, feature derivation, model training, and SEATL value estimation. Comparative evaluations highlight the method’s superior predictive precision and lower computational cost relative to traditional antimagic and edge-magic labeling strategies. The results demonstrate that attention-augmented GNNs offer a robust, scalable, and adaptive solution for intelligent graph labeling in practical, real-time settings.</p> Graphical Abstract <p></p>

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Graph Neural Networks for Efficient SEATL Value Prediction in Real-Time Dynamic Networks

  • N. Muthuselvi,
  • T. Saratha Devi

摘要

This paper introduces a novel framework for accurately predicting Super (a, d)-Edge Antimagic Total Labeling (SEATL) values in dynamic and structurally intricate networks using cutting-edge deep learning techniques. The framework leverages real-time data streams from domains such as biological processes, electrical systems, and communication infrastructures to model ever-evolving graphs. A Scaled Dot-Product Attention-based Graph Neural Network (GNN) is proposed to efficiently extract and learn complex topological patterns while adhering to antimagic labeling requirements. This deep learning pipeline integrates dynamic graph construction, feature derivation, model training, and SEATL value estimation. Comparative evaluations highlight the method’s superior predictive precision and lower computational cost relative to traditional antimagic and edge-magic labeling strategies. The results demonstrate that attention-augmented GNNs offer a robust, scalable, and adaptive solution for intelligent graph labeling in practical, real-time settings.

Graphical Abstract