paper

On the non-commuting graph associated to a finite-dimensional Lie algebra

arXiv:2406.15902

Abstract

In this paper, we define the non-commuting graph associated to a Lie algebra L and obtain some basic graph properties such as connectivity, diameter, girth, Hamiltonian and Eulerian. Moreover, planarity, outer planarity and isomorphism between two such graphs are also discussed in the paper.

arXiv comment11 pages