Boletim da Sociedade Paranaense de Matemática (Oct 2019)

Linear representation of a graph

  • Eduardo Montenegro,
  • Eduardo Cabrera,
  • José González Campos,
  • Ronald Manríquez Peñafiel

DOI
https://doi.org/10.5269/bspm.v37i4.32949
Journal volume & issue
Vol. 37, no. 4
pp. 97 – 102

Abstract

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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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