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“School of Mathematics”

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Paper   IPM / M / 11832
School of Mathematics
  Title:   Integral trees of odd diameters
  Author(s): 
1.  E. Ghorbani
2.  A. Mohammadian
3.  B. Tayfeh-Rezaie
  Status:   Published
  Journal: J. Graph Theory
  Vol.:  70
  Year:  2012
  Pages:   332-338
  Supported by:  IPM
  Abstract:
A graph is called integral if all eigenvalues of its adjacency matrix consist entirely of integers. Recently, Csikvari proved the existence of integral trees of any even diameter. In the odd case, integral trees have been constructed with diameter at most 7. In this paper, we show that for every odd integer n > 1, there are infinitely many integral trees of diameter n.

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