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Another family of chromatically unique graphs

โœ Scribed by Yee-Hock Peng


Publisher
Springer Japan
Year
1995
Tongue
English
Weight
368 KB
Volume
11
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES


Classes of chromatically unique graphs
โœ Mieczysล‚aw Borowiecki; Ewa Drgas-Burchardt ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB
On path-chromatically unique graphs
โœ Esperanza Blancaflor Arugay; Severino Villanueva Gervacio ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

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

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 chromatic uniqueness of two infinite
โœ Feng-Ming Dong ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 229 KB ๐Ÿ‘ 1 views

## Abstract In this paper, it is proven that for each __k__ โ‰ฅ 2, __m__ โ‰ฅ 2, the graph ฮ˜~__k__~(__m,โ€ฆ,m__), which consists of __k__ disjoint paths of length __m__ with same ends is chromatically unique, and that for each __m, n__, 2 โ‰ค __m__ โ‰ค __n__, the complete bipartite graph __K__~__m,n__~ is chr

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.