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Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem

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Abstract

In this paper, we give an affirmative answer to a question of Dmitriev concerning the existence of a non-chordal graph with a chordless cycle of order n whose chromatic polynomial has integer roots for a few values of n, extending prior work of Dong et al.

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Received: April, 2003

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Hernández, S., Luca, F. Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem. Graphs and Combinatorics 21, 319–323 (2005). https://doi.org/10.1007/s00373-005-0617-0

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  • DOI: https://doi.org/10.1007/s00373-005-0617-0

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