This analysis studies the diameter of commuting graphs in finite-dimensional simple Lie algebras, indicating important structural properties.
Let L be a Lie algebra with center Z(L) .The commuting graph (L) of L is a graph with vertex set L \ Z(L) , two distinct vertices x and y are adjacent if and only if x and y commute, i.e., [x, y] = 0 .Let g be a finitedimensional simple Lie algebra over an algebraically closed field of characteristic zero.In this paper, we study the diameter of (g) .
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Wang et al. (2017) studied this question.
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