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The trace norm of \(r\)-partite graphs and matrices. (La norme de trace des graphes et des matrices \(r\)-partis.) (English. French summary) Zbl 1314.05118

Summary: 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.

MSC:

05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
05C35 Extremal problems in graph theory

References:

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