*APPLICATION software, *COMPUTER science, *EIGENVALUES, *CHARTS, diagrams, etc.
Abstract
Threshold graphs have numerous applications in computer science and psychology. The eccentricity matrix ɛ (G) of G is defined as ɛ (G) i j = d (v i , v j) if d (v i , v j) = m i n { e (v i) , e (v j) } , 0 otherwise. 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 ]. [ABSTRACT FROM AUTHOR]