Linear representation of groups associated to graphs

2026/06/18 by Alain Bretto, Alain Faisant, Neda Moradi +1
Mathematics · #math.RT #math.CO

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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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