On labeling the vertices of products of complete graphs with distance constraints
β Scribed by D.J. Erwin; J.P. Georges; D.W. Mauro
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 71 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A randomly evolving graph, with vertices immigrating at rate n and each possible edge appearing at rate 1/n, is studied. The detailed picture of emergence of giant components with O n 2/3 vertices is shown to be the same as in the ErdΕs-RΓ©nyi graph process with the number of vertices fixed at n at t
## Abstract Let __K(p, q), p β€ q__, denote the complete bipartite graph in which the two partite sets consist of __p__ and __q__ vertices, respectively. In this paper, we prove that (1) the graph __K(p, q)__ is chromatically unique if __p__ β₯ 2; and (2) the graph __K(p, q)__ β __e__ obtained by del