Classes of chromatically unique or equivalent graphs
โ Scribed by Mieczys[lstrok]aw Borowiecki; Ewa Drgas-Burchardt
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 439 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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.
Let P\* denote the graph obtained by joining a new vertex to every vertex of a path on n vertices. Let Ui,j(n) denote the set of all connected graphs obtained from PfwP\* by connecting the four vertices of degree 2 by two paths of lengths s( 1> 0) and t( ~> 1) such that s + t = n -i -j is a constant
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
Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.