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arXiv · 2510.16839

Digraphons: connectivity and spectral aspects

Jan Hladký·Petr Savický
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Abstract

The theory of graphons has proven to be a powerful tool in many areas of graph theory. In this paper, we introduce several foundational aspects of the theory of digraphons -- asymmetric two-variable functions that arise as limits of sequences of directed graphs (digraphs). Our results address their decomposition into strongly connected components, periodicity, spectral properties, and asymptotic behaviour of their large powers.

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Jan Hladký, Petr Savický. 2025-12-14. Digraphons: connectivity and spectral aspects. https://arxiv.org/abs/2510.16839

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