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IPM
30
YEARS OLD

“School of Mathematics”

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Paper   IPM / M / 16039
School of Mathematics
  Title:   Structure of trees with respect to nodal vertex sets
  Author(s):  Dariush Kiani (Joint with A. Bahmani)
  Status:   To Appear
  Journal: Discrete Math.
  Supported by:  IPM
  Abstract:
Let T be a tree with a given adjacency eigenvalue λ. In this paper, by using the λ-minimal trees, we determine the structure of trees with a given multiplicity of the eigenvalue λ. Furthermore, we consider the relationship between the structure of trees and the eigensystem of a given Laplacian eigenvalue.

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