On d-Unit Graphs in Rn

Authors

  • Sergio Jr. Canoy

Keywords:

Euclidean, unit, dimension, graph, metric, representation

Abstract

In this paper, the unit dimension of a graph with respect to a metric d on the space Rn is defined. This generalizes the concept of
the Euclidean unit dimension of a graph in the space Rn as defined by various authors in [1], [2], [3], and [4]. It is also shown that two
equivalent metrics in Rn may yield different unit dimensions of some complete graphs.

Published

04/19/2024

How to Cite

Canoy, S. J. (2024). On d-Unit Graphs in Rn. ASIA PACIFIC JOURNAL OF SOCIAL INNOVATION, 19(1). Retrieved from https://journals.msuiit.edu.ph/tmf/article/view/382