The number of edges in a subgraph of a Hamming graph
β Scribed by R. Squier; B. Torrence; A. Vogt
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 363 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
G be a subgraph of the Cartesian product Hamming graph (Kp)r with n vertices. Then the number of edges of G is at most (1/2)(p -1) log, n, with equality holding if and only G is isomorphic to (Kp)s for some s 5 r.
π SIMILAR VOLUMES
Shi, Y., The number of edges in a maximum cycle-distributed graph, Discrete Mathematics 104 (1992) 205-209. Let f(n) (f\*(n)) be the maximum possible number of edges in a graph (2-connected simple graph) on n vertices in which no two cycles prove that, for every integer n > 3, f(n) 3 n + k + [i( [~(
For the maximum number f ( n ) of edges in a C4-free subgraph of the n-dimensional cube-graph 0, w e prove f(n) 2 i ( n + f i ) 2 " -' for n = 4f, and f ( n ) 2 i ( n + 0.9,h)2"-' for all n 2 9. This disproves one version of a conjecture of P. Erdos.