학술논문
Linear representation of a graph
Document Type
article
Source
Boletim da Sociedade Paranaense de Matemática, Vol 37, Iss 4, Pp 97-102 (2019)
Subject
Language
English
Portuguese
Portuguese
ISSN
0037-8712
2175-1188
2175-1188
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