Non-chordal graphs having integral-root chromatic polynomials II

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چکیده

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Non-chordal graphs having integral-root chromatic polynomials II

It is known that the chromatic polynomial of any chordal graph has only integer roots. However, there also exist non-chordal graphs whose chromatic polynomials have only integer roots. Dmitriev asked in 1980 if for any integer p¿ 4, there exists a graph with chordless cycles of length p whose chromatic polynomial has only integer roots. This question has been given positive answers by Dong and ...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2002

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(01)00307-7