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The distinguishing chromatic number of Cartesian products of two complete graphs

✍ Scribed by Janja Jerebic; Sandi Klavžar

Book ID
108114202
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
274 KB
Volume
310
Category
Article
ISSN
0012-365X

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Circular chromatic index of Cartesian pr
Circular chromatic index of Cartesian products of graphs
✍ Douglas B. West; Xuding Zhu 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB

## Abstract The __circular chromatic index__ of a graph __G__, written $\chi\_{c}'(G)$, is the minimum __r__ permitting a function $f : E(G)\rightarrow [0,r)$ such that $1 \le | f(e)-f(e')|\le r - 1$ whenever __e__ and $e'$ are incident. Let $G = H$ □ $C\_{2m +1}$, where □ denotes Cartesian product