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Classes of chromatically unique or equivalent graphs

โœ 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

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Classes of chromatically unique graphs
โœ Mieczysล‚aw Borowiecki; Ewa Drgas-Burchardt ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB
Two classes of chromatically unique grap
โœ K.M. Koh; B.H. Goh ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 563 KB

## 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.

On the chromatic equivalence class of a
โœ G.L. Chia ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

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

On ฯƒ-polynomials and a class of chromati
โœ Qingyan Du ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 655 KB

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

Classification of chromatically unique g
โœ Nian-Zu Li; Earl Glen Whitehead Jr.; Shao-Ji Xu ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 329 KB ๐Ÿ‘ 1 views

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