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arxiv: 1804.00369 · v1 · pith:OTH2CUFZnew · submitted 2018-04-02 · 🧮 math.CO

On graphs with smallest eigenvalue at least -3 and their lattices

classification 🧮 math.CO
keywords eigenvalueleastsmallestconnectedgraphsresultdegreeenough
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In this paper, we show that a connected graph with smallest eigenvalue at least -3 and large enough minimal degree is 2-integrable. This result generalizes a 1977 result of Hoffman for connected graphs with smallest eigenvalue at least -2.

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