Comptes Rendus
no. 6
Combinatorics
The trace norm of r-partite graphs and matrices
[La norme de trace des graphes et des matrices r-partis]

Présenté par : Michèle Vergne

Vladimir Nikiforov1
1 Department of Mathematical Sciences, University of Memphis, Memphis TN 38152, USA
Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 471-475.

La norme de trace de graphes a été beaucoup étudiée sous le nom d'énergie de graphe. Cette note présente des bornes à la norme de trace maximale d'un graphe r-parti d'ordre n. Les bornes inférieures proviennent des matrices de conférence et de Hadamard.

The trace norm of graphs has been widely studied under the name graph energy. This note presents bounds on the maximum trace norm of an r-partite graph of order n. The lower bounds come from conference and Hadamard matrices.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2015.03.013
Vladimir Nikiforov 1

1 Department of Mathematical Sciences, University of Memphis, Memphis TN 38152, USA 
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Vladimir Nikiforov. The trace norm of r-partite graphs and matrices. Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 471-475. doi : 10.1016/j.crma.2015.03.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.03.013/

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