| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4649271 | Discrete Mathematics | 2010 | 14 Pages |
Abstract
Let kk, ℓℓ be positive integers. Let GG be a graph of order kℓkℓ. It is shown that if GG is a complete multipartite graph, GG has a vertex partition V(G)=V1∪V2∪⋯∪VℓV(G)=V1∪V2∪⋯∪Vℓ such that for some pair of graphs H1H1 and H2H2 of order kk, the subgraph of GG induced by ViVi is isomorphic to H1H1 or H2H2 for any ii with 1≤i≤ℓ1≤i≤ℓ. Furthermore, for graphs not necessarily complete multipartite, similar problems are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tomoki Nakamigawa,