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Jun 3, 2013 at 20:20 comment added Royeh @Casteels: yes, that's what I want to do. I am trying to start from a simple cycle and with knowing symmetric properties expand my work to trees and some other class of graphs.
Jun 1, 2013 at 15:12 comment added Casteels So, for example, for fixed $n$, you want to characterize the trees on $n$ vertices whose sum of first $k$ eigenvalues is maximum?
Jun 1, 2013 at 8:15 history edited Royeh CC BY-SA 3.0
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May 31, 2013 at 21:53 comment added Royeh @Casteels: You're right. I edit my question.
May 31, 2013 at 21:51 history edited Royeh CC BY-SA 3.0
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May 31, 2013 at 19:25 comment added Casteels I don't understand your question. The sum of the eigenvalues of the Laplacian of a graph with m edges is always 2m. So what exactly are you trying to optimize?
May 31, 2013 at 12:11 history asked Royeh CC BY-SA 3.0