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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/64571


    Title: 路徑圖與格子圖上的目標集問題;Target Set Selection Problem on Paths and Grids
    Authors: 郭瀚文;Guo,Han-wun
    Contributors: 數學系
    Keywords: 路徑圖;格子圖;目標集問題;path;grids;TTS;Target set
    Date: 2014-06-30
    Issue Date: 2014-08-11 18:43:08 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 本論文主要在處理路徑圖 (Path) 上的 Target set Selection Problem (TSS Problem),另外對 Pn□Pm 圖上也得到一些結果。我們在 TSS Problem 上考慮兩類感染方式:並行感染規則 I 與並行感染規則 II。
    在並行感染規則 I 下,將已有的 Theorem 1 至 Theorem 3 ([3], [6]) 從 Pn□Pn 推廣到 Pn□Pm,並給出不等式等號成立的充分條件。在並行感染規則 II 下,討論並行感染規則 II 的性質 (遞增性,圖形與子圖的關係),在圖形為 path 時,討論 min-seed 在子圖中的下界,對於在 path 上一般性的情形,其中 a_i≥2 的情形可以得到結果,一般性的情形 a_i≥0 還沒有解決,但可以推論出問題的關鍵在於〖 a〗_i≥1 的情形。
    ;In this paper, we are focus on the Target set Selection Problem (TSS Problem) on path. We also get some results on Pn□Pm. Consider two different rules of Bootstrap Percolation:
    Rule I and Rule II
    Under Rule I, we generalize Theorem 1, Theorem 2 and Theorem 3 ([3], [6]) from Pn□Pn
    to Pn□Pm.. Furthermore, we give some sufficient conditions for inequality such that equality holds. On the other hand, we have some properties under Rule II and results on path.
    Appears in Collections:[數學研究所] 博碩士論文

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