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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/110902


    Title: 環狀完全圖的傳遞數的上界
    Other Titles: An upper bound of the routing number of circular complete graphs
    Authors: 賴星學;Lai, Hsing-Hsueh
    Contributors: 淡江大學中等學校教師在職進修數學教學碩士學位班
    潘志實
    Keywords: 傳遞數;環狀完全圖;routing number;circular complete graph
    Date: 2016
    Issue Date: 2017-08-24 23:38:56 (UTC+8)
    Abstract: 所謂連通圖G的傳遞數rt(G),是指能使頂點的每一個置換,在r步通過交換不相交的邊的兩端點被傳遞的最小整數r值。在這篇研究報告中,我們將證明環狀完全圖K_(p/q)的傳遞數rt(K_(p/q) )≤ 2q, 對於所有的p≥3q,其中p, q為正整數。
    The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In this paper, we study and prove the routing number of circular complete graph K_(p/q) is
    rt(K_(p/q) )≤2q, "for all" p≥3q,p, q∈Z^+.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Thesis

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