### Abstract

THE SPECIAL CHARACTERS IN THIS ABSTRACT CANNOT BE DISPLAYED CORRECTLY ON THIS PAGE. PLEASE REFER TO THE ABSTRACT ON THE PUBLISHER'S WEBSITE FOR AN ACCURATE DISPLAY. A graph H decomposes a graph G if and only if the edges of G can be partitioned into disjoint subsets each of which induces a graph isomorphic to H. Wilson (in: C.St.J.A. Nash-Williams, J. Sheehan (Eds.), Proceedings of the Fifth British Combinatorial Conference, Aberdeen, 1975) showed, among other things, that for any graph H, there is an integer n such that H decomposes Kn, and Häggkvist (in: J. Siemons (Ed.), Surveys in Combinatories 1989, Invited papers for 12th British Combinatorial Conference, LMS Lecture Notes 141, Cambridge University Press, Cambridge, 1989, pp. 115–147) showed that for any bipartite H, there is an n such that H decomposes Kn,n. In this paper, we extend this result to tripartite graphs, by showing that for any tripartite graph H, there is an integer n such that H decomposes Kn,n,n.

Original language | English |
---|---|

Pages (from-to) | 269-275 |

Number of pages | 7 |

Journal | Discrete Mathematics |

Volume | 272 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Nov 2003 |

### Keywords

- Graph decomposition
- Tripartite graph
- Multipartite graph

## Fingerprint Dive into the research topics of 'Edge decomposition of complete tripartite graphs'. Together they form a unique fingerprint.

## Cite this

Edwards, K. (2003). Edge decomposition of complete tripartite graphs.

*Discrete Mathematics*,*272*(2-3), 269-275. https://doi.org/10.1016/S0012-365X(03)00195-X