𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New Bounds on the Grundy Number of Products of Graphs

✍ Scribed by Victor Campos; András Gyárfás; Frédéric Havet; Claudia Linhares Sales; Frédéric Maffray


Book ID
112121094
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
507 KB
Volume
71
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


New bounds for the chromatic number of g
✍ Manouchehr Zaker 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB 👁 1 views

## Abstract In this article we first give an upper bound for the chromatic number of a graph in terms of its degrees. This bound generalizes and modifies the bound given in 11. Next, we obtain an upper bound of the order of magnitude ${\cal O}({n}^{{1}-\epsilon})$ for the coloring number of a graph

On the equality of the grundy and ochrom
✍ P. Erdös; W. R. Hare; S. T. Hedetniemi; R. Laskar 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB 👁 1 views

It is proved in this note that the Grundy number, r(G), and the ochromatic number, xo(G), are the same for any graph G. An n-coloring of a graph G = ( V , E ) is a f u n c t i o n f f r o m V onto N = { I , 2 , . . . , n } such that, whenever vertices id and u are adjacent, then f ( u ) f f(u). An