Linear representation of a graph

Authors

  • Eduardo Montenegro Univerisdad de Playa Ancha Department of Mathematics and Statistics Laboratorio de investigación Lab[e]saM http://orcid.org/0000-0003-4561-0745
  • Eduardo Cabrera Univerisdad de Playa Ancha Department of Mathematics and Statistics Laboratorio de investigación Lab[e]saM
  • José González Campos Univerisdad de Playa Ancha Department of Mathematics and Statistics Laboratorio de investigación Lab[e]saM
  • Ronald Manríquez Peñafiel Univerisdad de Playa Ancha Department of Mathematics and Statistics Laboratorio de investigación Lab[e]saM

DOI:

https://doi.org/10.5269/bspm.v37i4.32949

Keywords:

Graph, Graphs, Abstract algebra

Abstract

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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Published

2018-01-09

Issue

Vol. 37 No. 4 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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