Symmetric Squares of Graphs

Details Symmetric Squares of Graphs Symmetric Squares of Graphs

2005-07-12

arxiv.org/abs/math/0507251v1

Mathematics

Combinatorics

Scientific paper

We consider symmetric powers of a graph. In particular, we show that the
spectra of the symmetric square of strongly regular graphs with the same
parameters are equal. We also provide some bounds on the spectra of the
symmetric squares of more general graphs. The connection with generic exchange
Hamiltonians in quantum mechanics is discussed in an appendix.

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