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arxiv: 1705.01275 · v1 · pith:G2YYG7TOnew · submitted 2017-05-03 · 🧮 math.GR

Laplacian Spectrum of non-commuting graphs of finite groups

classification 🧮 math.GR
keywords non-commutinggraphsgroupsfinitel-integrallaplaciansomespectrum
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In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral. We also obtain some conditions on a group $G$ so that its non-commuting graph is L-integral.

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