Name
Abstract | ||
|---|---|---|
Let lambda K(hu) denote the lambda-fold complete multipartite graph with u parts of size h. A cube factorization of lambda K(hu) is a uniform 3-factorization of lambda K(hu) in which the components of each factor are cubes. We show that there exists a cube factorization of lambda K(hu) if and only if uh equivalent to 0 (mod 8), lambda(u - 1)h equivalent to 0 (mod 3) and u >= 2. It gives a new family of uniform 3-factorizations of lambda K(hu). We also establish the necessary and sufficient conditions for the existence of cube frames of lambda K(hu). |
Year | DOI | Venue |
|---|---|---|
2011 | null | ARS COMBINATORIA |
Keywords | Field | DocType |
decomposition,factorization,cube,frame,uniform 3-factorization | Graph,Discrete mathematics,Combinatorics,Multipartite,Mathematics,Cube | Journal |
Volume | Issue | ISSN |
99 | null | 0381-7032 |
Citations | PageRank | References |
2 | 0.43 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jinhua Wang | 1 | 2 | 1.10 |