Symmetric squares of graphs

K. Audenaert; C. Godsil; Gordon Royle; T. Rudolph

doi:10.1016/j.jctb.2006.04.002

Symmetric squares of graphs

K. Audenaert, C. Godsil, Gordon Royle, T. Rudolph

Graduate Research School

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

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 Appendix A. (c) 2006 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	74-90
Journal	Journal of combinatorial Theory Series B
Volume	97
Issue number	1
DOIs	https://doi.org/10.1016/j.jctb.2006.04.002
Publication status	Published - 2007

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10.1016/j.jctb.2006.04.002

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title = "Symmetric squares of graphs",

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 Appendix A. (c) 2006 Elsevier Inc. All rights reserved.",

author = "K. Audenaert and C. Godsil and Gordon Royle and T. Rudolph",

year = "2007",

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T1 - Symmetric squares of graphs

AU - Audenaert, K.

AU - Godsil, C.

AU - Royle, Gordon

AU - Rudolph, T.

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AB - 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 Appendix A. (c) 2006 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.jctb.2006.04.002

DO - 10.1016/j.jctb.2006.04.002

M3 - Article

SN - 0095-8956

VL - 97

SP - 74

EP - 90

JO - Journal of combinatorial Theory Series B

JF - Journal of combinatorial Theory Series B

IS - 1

ER -

Symmetric squares of graphs

Abstract

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