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arXiv · 2607.15287

Linear representation of groups associated to graphs

Alain Bretto·Alain Faisant·Neda Moradi·Mehrdad Nasernejad
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Abstract

In this article, we introduce a group linear representation associated to a graph. We study this representation as well as the canonical decomposition of the associated module. A character study is conducted, demonstrating the relevance of this approach to graph theory. We also develop the links that exist between algebra and graphs, particularly in the language of representations.

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Alain Bretto, Alain Faisant, Neda Moradi, Mehrdad Nasernejad. 2026-06-18. Linear representation of groups associated to graphs. https://arxiv.org/abs/2607.15287

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