Symmetric squares of graphs
Symmetric squares of graphs
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DOI：
10.1016/j.jctb.2006.04.002
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发表时间：
2007-01-01
影响因子：
1.4
通讯作者：
Rudolph, Terry
中科院分区：
文献类型：
--
作者：
Audenaert, Koenraad;Godsil, Chris;Rudolph, Terry
我们考虑图的对称幂。特别地，我们证明了具有相同参数的强正则图的对称平方的谱是相等的。我们还提供了一些更一般的图的对称平方的谱上的界限。在附录A中讨论了与量子力学中一般交换哈密顿量的联系。(c)2006年爱思唯尔公司All rights reserved.
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.