## 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 $G = H$ β‘ $C\_{2m +1}$, where β‘ denotes Cartesian product
The chromatic difference sequence of the Cartesian product of graphs
β Scribed by Huishan Zhou
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 953 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Zhou, H., The chromatic difference sequence of the Cartesian product of graphs, Discrete Mathematics 90 (1991) 297-311. The chromatic difference sequence cds(G) of a graph G with chromatic number n is defined by cds(G) = (a(l), a(2), . . , a(n)) if the sum of a(l), a(2), . , a(t) is the maximum number of vertices in an induced t-colorable subgraph of G for t = 1, 2, . , n. The Cartesian product of two graphs G and H, denoted by G 0 H, has the vertex set V(G 0 H) = V(G) x V(H) and its edge set is given by (I,, y,
π SIMILAR VOLUMES
## Abstract This article proves the following result: Let __G__ and __G__β² be graphs of orders __n__ and __n__β², respectively. Let __G__^\*^ be obtained from __G__ by adding to each vertex a set of __n__β² degree 1 neighbors. If __G__^\*^ has game coloring number __m__ and __G__β² has acyclic chromat
For graphs G and H, the Cartesian product G Γ H is defined as follows: the vertex set is ## V(G) Γ V(H), and two vertices (g,h) and (9',h') are adjacent in G Γ H if either g = g' and hh' E E(H) or h = h' and g9' E E(G). Let G k denote the Cartesian product of k copies of G. The chromatic differen