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Keywords

distance matrix, characteristic polynomial, unimodal, log-concave

Abstract

The conjecture of Graham and Lov ́asz that the (normalized) coefficients of the distance characteristic polynomial of a tree are unimodal is proved; it is also shown that the (normalized) coefficients are log-concave. Upper and lower bounds on the location of the peak are established.

abs_vol34_pp373-380.pdf (100 kB)
PDF of Abstract

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