For more information about this meeting, contact Mary Anne Raymond.

Title: | Conditions to Embed a Partial Latin Square Inside a Complete Latin Square |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Serge Ballif, Penn State |

Abstract: |

A (partial) latin square of order $n$ is an $n\times n$ array such that each of $n$ symbols occurs (at most) once in each row and column. T. Evans proved that a partial latin square of order $n$ can always be embedded inside a latin square of order $t$ for each $t\ge 2n$. In this talk we give necessary and sufficient conditions for there to exist an embedding of a given partial latin square of order $n$ inside a latin square of order $n+k$. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 05 / 2010 |

Time: | 11:15am - 12:05pm |