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Symmetric Squares of Graphs

Research paper by Koenraad Audenaert, Chris Godsil, Gordon Royle, Terry Rudolph

Indexed on: 12 Jul '05Published on: 12 Jul '05Published in: Mathematics - Combinatorics



Abstract

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.