Extremal norms of graphs and matrices

Details Extremal norms of graphs and matrices Extremal norms of graphs and matrices

2010-07-22

arxiv.org/abs/1007.3947v2

Mathematics

Combinatorics

Some corrections made in v2

Scientific paper

In the recent years, the trace norm of graphs has been extensively studied under the name of graph energy. In this paper some of this research is extended to more general matrix norms, like the Schatten p-norms and the Ky Fan k-norms. Whenever possible the results are given both for graphs and general matrices. In various contexts a puzzling fact was observed: the Schatten p-norms are widely different for 1<=p<2 and for p>=2.

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