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Classes of chromatically unique graphs

✍ Scribed by Mieczysław Borowiecki; Ewa Drgas-Burchardt

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 263 KB
Volume: 111
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90142-g

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## Let P(G; A) denote the chromatic polynomial of a graph G. G is chromatically unique if G is isomorphic to H for any graph H with P(H; A) = P(G; A). In this paper, we provide two new classes of chromatically unique graphs.

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Du, Q., On o-polynomials and a class of chromatically unique graphs, Discrete Mathematics 115 (1993) 153-165. Let cr(G)=C:,,aicr '-' be the u-polynomial of a graph G. We ask the question: When k and a, are given, what is the largest possible value of ai(O < i < k) for any graph G? In this paper, thi

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The least number of colors needed to color the vertices of a graph G such that the vertices in each color class induces a linear forest is called the path-chromatic number of G, denoted by Zoo (G). If all such colorings of the vertices of G induce the same partitioning of the vertices of G, we say

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Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.