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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/5946

    Title: 含有固定共同元素之拉丁方陣的最大集的探討
    Other Titles: A Large Set of Latin Squares with Fixed Common Entries
    Authors: 高金美
    Contributors: 淡江大學數學學系
    Keywords: 拉丁方陣;最大集;Latin square;Large set
    Date: 1994
    Issue Date: 2009-03-16 13:13:18 (UTC+8)
    Abstract: 一個含有整數1,2,3,.....,n 的n階拉丁方陣是 一個n*n=0陣列,且每一個整數在每一行,每一列 中都只出現一次,一個含有固定K個共同元素的 拉丁方陣的最大集是一個含有最多n階拉丁方 陣的集合,且任兩個拉丁方陣都K個位置相同又 此K個位置是在對角線上,在1988年L. Teirlinck和 C.C. Lindner發表了一篇論文其證明了一個n階 Idempotent拉丁方陣均最大集是含有n-2個Idempotent 拉丁方陣的集合.在此計畫中我們將探討更一 般化的問題,即考慮在對角線上固定了K個元素 的所有拉丁方陣的最大集.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Research Paper

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