Linear representation of a graph

Eduardo Montenegro, Eduardo Cabrera, José González Campos, Ronald Manríquez · Boletim da Sociedade Paranaense de Matemática · 2018

In this paper the linear representation of a graph is defined. A linear representation of a graph is a subgroup of $GL(p,\mathbb{R})$, the group of invertible matrices of order $ p $ and real coefficients. It will be demonstrated that every graph admits a linear representation. In this paper, simple and finite graphs will be used, framed in the graphs theory's area

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