## Abstract

An m-flower in a latin square is a set of m entries which share either a common
row, a common column, or a common symbol, but which are otherwise distinct.
Two m-flowers are disjoint if they share no common row, column or entry. In this
paper we give a solution of the intersection problem for disjoint m-flowers in latin
squares; that is, we determine precisely for which triples (n,m, x) there exists a pair
of latin squares of order n whose intersection consists exactly of x disjoint m-flowers.

Translated title of the contribution | The disjoint m-flower intersection problem |
---|---|

Original language | English |

Pages (from-to) | 42 - 74 |

Number of pages | 33 |

Journal | Electronic Journal of Combinatorics |

Volume | 18, number 1 |

Publication status | Published - Feb 2011 |