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選擇內部節點最小生成樹問題之啟發式演算法

論文內容
論文分類 碩士論文
學號 g982109
姓名 劉展碩
標題 選擇內部節點最小生成樹問題之啟發式演算法
指導教授 陳彥宏
畢業日期 2011-10
附件檔案  
參考連結 http://163.21.239.2/cgi-bin/cdrfb3/tmtcgsweb.cgi?o=dtmtccdr
摘要 本研究探討一個組合最佳化的問題:選擇內部節點最小生成樹問題(selected-internal minimum spanning tree problem)。給定一個無向完全圖G=(V,E),一個非負數的權重函數(cost function)在邊上,一個內部節點的集合R包含於G與R’包含於R,選擇內部節點最小生成樹問題定義為:找出一個邊上權重加總最小的生成樹,連通V內的所有節點,但是R內的節點不能是樹葉(|R|>=2)。此問題可應用於群播繞徑、超大型積體電路繞線及演化樹重建。這個問題被證明為NP-Com
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