On the sum of k largest singular values of graphs and matrices

Details On the sum of k largest singular values of graphs and matrices On the sum of k largest singular values of graphs and matrices

2010-07-22

arxiv.org/abs/1007.3949v2

Mathematics

Combinatorics

Some corrections applied in v2

Scientific paper

In the recent years, the trace norm of graphs has been extensively studied under the name of graph energy. The trace norm is just one of the Ky Fan k-norms, given by the sum of the k largest singular values, which are studied more generally in the present paper. Several relations to chromatic number, spectral radius, spread, and to other fundamental parameters are outlined. Some results are extended to more general matrices.

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