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arxiv: 0911.2172 · v4 · pith:TQNAUFPNnew · submitted 2009-11-11 · 🧮 math.CO · math.AG

The Grone-Merris Conjecture

classification 🧮 math.CO math.AG
keywords conjecturegraphcompleteconjugatedegreefinitegivegrone
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In spectral graph theory, Grone and Merris conjecture that the spectrum of the Laplacian matrix of a finite graph is majorized by the conjugate degree sequence of this graph. We give a complete proof for this conjecture.

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