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Classes of chromatically equivalent graphs and polygon trees

โœ Scribed by Shaoji Xu


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
747 KB
Volume
133
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Chromatic polynomials, polygon trees, an
โœ C. D. Wakelin; D. R. Woodall ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 370 KB

## Abstract It is proved that all classes of polygon trees are characterized by their chromatic polynomials, and a characterization is given of those polynominals that are chromatic polynomials of outerplanar graphs. The first result yields an alternative proof that outerplanar graphs are recogniza

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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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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

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In this paper, we define and study the switching classes of directed graphs. The definition is a generalization of both Van Lint and Seidel's switching classes of graphs and Cameron's switching classes of tournaments. We actually do it in a general way so that Wells" signed switching classes of grap