The Grone-Merris Conjecture

Details The Grone-Merris Conjecture The Grone-Merris Conjecture

2009-11-11

arxiv.org/abs/0911.2172v4

Mathematics

Combinatorics

The paper is accepted by Transactions of the American Mathematical Society

Scientific paper

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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