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This research proposes a unified spectral framework using graph theory bounds to model and detect fake news propagation cascades, moving beyond ad hoc topological features. By integrating these mathematical constraints with structural optimization, the study demonstrates that spectral signatures offer interpretable insights into how misinformation spreads compared to legitimate information. The approach advances machine learning methods for social network analysis by providing a rigorous theoretical foundation for distinguishing malicious content patterns.
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Spectral Analysis of Fake News Propagation

arXiv2 min read

arXiv:2605.13861v2 Announce Type: replace-cross Abstract: How can we systematically represent the propagation of information? The propagation structure of fake news has been shown to be an important cue for detecting it; yet, existing propagation-based fake news detection methods have mainly relied on ad hoc topological features, and a unified view of cascade patterns is still lacking. To address this, we study news propagation from a spectral view by connecting graph spectra to propagation-related structural properties through rigorous spectral bounds. We introduce several new bounds and integrate them with existing bounds into a unified spectral representation of information propagation. We then use these spectral bounds for downstream classification and design a discrete structural optimization framework to interpret learned propagation patterns. For efficient optimization, we rely on a first-order perturbation approximation and consider both score-guided and bound-guided objectives. Experiments on real-world data reveal meaningful spectral differences between fake and real news, competitive classification performance, and interpretable evolution trajectories from structural optimization. The findings demonstrate the value of spectral analysis for understanding and modeling information propagation.

Abstract:How can we systematically represent the propagation of information? The propagation structure of fake news has been shown to be an important cue for detecting it; yet, existing propagation-based fake news detection methods have mainly relied on ad hoc topological features, and a unified view of cascade patterns is still lacking. To address this, we study news propagation from a spectral view by connecting graph spectra to propagation-related structural properties through rigorous spectral bounds. We introduce several new bounds and integrate them with existing bounds into a unified spectral representation of information propagation. We then use these spectral bounds for downstream classification and design a discrete structural optimization framework to interpret learned propagation patterns. For efficient optimization, we rely on a first-order perturbation approximation and consider both score-guided and bound-guided objectives. Experiments on real-world data reveal meaningful spectral differences between fake and real news, competitive classification performance, and interpretable evolution trajectories from structural optimization. The findings demonstrate the value of spectral analysis for understanding and modeling information propagation.

Social and Information Networks (cs.SI); Artificial Intelligence (cs.AI)

arXiv:2605.13861 [cs.SI]

(or arXiv:2605.13861v2 [cs.SI] for this version)

https://doi.org/10.48550/arXiv.2605.13861 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 265 words

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