The Grone-Merris Conjecture

By Hua Bai. 2009

70 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a452d2ea37dbaee02839b9081713cf0ec887ab87

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In Computational Theory and Mathematics

  1. Andries E. Brouwer
  2. Willem H. Haemers
  3. Sebastian M. Cioaba
  4. Dragos M. Cvetkovic
  5. David A. Gregory
  6. Slobodan K. Simic

In Geometry and Topology

  1. Andries E. Brouwer
  2. Willem H. Haemers
  3. Sebastian M. Cioaba
  4. Dragos M. Cvetkovic
  5. David A. Gregory
  6. Slobodan K. Simic

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