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arXiv · 2406.15902

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

Akram Chareh khah moghaddam·Ahmad Erfanian·Afsaneh Shamsaki
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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.

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Akram Chareh khah moghaddam, Ahmad Erfanian, Afsaneh Shamsaki. 2024-06-22. On the non-commuting graph associated to a finite-dimensional Lie algebra. https://arxiv.org/abs/2406.15902

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