Abstract
Threshold graphs have numerous applications in computer science and psychology. The eccentricity matrix ɛ(G) of G is defined as ɛ(G)ij=d(vi,vj)ifd(vi,vj)=min{e(vi),e(vj)},0otherwise.In this paper, we give some properties of the eccentricity eigenvalues of threshold graphs and determine threshold graphs with distinct eccentricity eigenvalues in [−2,0].
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