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Another Proof of Oscar Rojo's Theorems

Combinatorics 2010-11-16 v1 Spectral Theory

Abstract

We present here another proof of Oscar Rojo's theorems about the spectrum of graph Laplacian on certain balanced trees, by taking advantage of the symmetry properties of the trees in question, and looking into the eigenfunctions of Laplacian.

Keywords

Cite

@article{arxiv.1011.3361,
  title  = {Another Proof of Oscar Rojo's Theorems},
  author = {Hao Chen and Jürgen Jost},
  journal= {arXiv preprint arXiv:1011.3361},
  year   = {2010}
}

Comments

9 pages, 4 figures