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Bounds on the chromatic polynomial and on the number of acyclic orientations of a graph

โœ Scribed by Nabil Kahale; Leonard J. Schulman


Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
743 KB
Volume
16
Category
Article
ISSN
0209-9683

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๐Ÿ“œ SIMILAR VOLUMES


A bound on the chromatic number of a gra
โœ Paul A. Catlin ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 392 KB

We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.

On the chromatic polynomial of a graph
โœ David Avis; Caterina De Simone; Paolo Nobili ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 121 KB
Another bound on the chromatic number of
โœ Paul A. Catlin ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 422 KB

Let C be a simple graph. let JiGI denote the maximum degree of it\ \erlicek. ,III~ Ic~r \ 1 C; 1 denote irs chromatic pumber. Brooks' Theorem asserb lha1 ytG I'--AI G I. unk\\ C; hd.. .I component that is a COI lplete graph K,,,,\_ ,. or ullesq .I1 G I = 2 and G ha\ ;~n c~rld C\CIC