Journal Article On a symmetric representation of Hermitian matrices and its applications to graph theory

Sawa, Masanori

116pp.484 - 503 , 2016-01 , Elsevier
We give an inequality on the inertia of Hermitian matrices with some symmetry and discuss algebraic conditions for equality. The basic results also have various applications in the theories of graph decompositions, graph embeddings, and block designs.

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