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 Title: Distance-two domination of graphs Authors: 許豐如;Feng-Ru Hsu Contributors: 數學研究所 Keywords: NP complete;domination Date: 2006-06-21 Issue Date: 2009-09-22 11:08:34 (UTC+8) Publisher: 國立中央大學圖書館 Abstract: 由於實際資源分享的問題，我們在此篇論文裡面考量到控制問題的變形，稱為距離二以內的控制問題。 這篇論文的架構如下。第一節、介紹基本的定義。第二節、研究paths 和cycles之距離二以內的控制。第三節、證明D_{3,2,1}控制問題為NP-complete在二分圖上。第四節、決定fully binary tree 之D_{3,2,1}控制數。 Due to a practical resource sharing problem, we consider a variation of the domination problem in this thesis which we call the distance-two domination problem. This thesis is organized as follows. Section 1 gives basic definitions and notation. Section 2 investigates the distance-two domination of paths and cycles. Section 3 shows that D_{3,2,1}-domination problem is NP-complete for bipartite graphs. And we determine the D_{3,2,1}-domination number of fully binary tree in the final section. Appears in Collections: [數學研究所] 博碩士論文

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