### 博碩士論文 93221022 詳細資訊

 姓名 許豐如(Feng-Ru Hsu)  查詢紙本館藏 畢業系所 數學系 論文名稱 (Distance-two domination of graphs) 檔案 [Endnote RIS 格式]    [Bibtex 格式]    [檢視]  [下載]本電子論文使用權限為同意立即開放。已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。 摘要(中) 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。 摘要(英) 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. 關鍵字(中) 關鍵字(英) ★ NP complete★ domination 論文目次 1Introduction ....................1 2 Distance-two domination of paths and cycles ....................5 3 NP-Complete result ....................7 4 Distance-two domination of fully binary tree ....................11 References ....................15 參考文獻 References [1] A. V. Aho, J. E. Hopcroft and J. D. Ullman, The Desing and Analysis of Computer Algorithms, Addison-Wesley, Reading, MA (1974). [2] G. J. Chang, Algorithmic Aspects of Domination in Graphs, Handbook of Com-binatorial Optimization (D. Z. Du and P. M. Pardalos edited) Vol. 3 (1998),339-405. [3] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Domination in Graphs: Ad-vanced Topics, Marcel Dekker, NY (1998). [4] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker, NY (1998). [5] E. Horowitz and S. Sahni, Fundamentals of Computer Algorithms, Computer Science Press, Rockville, MD (1978). [6] U. Manber, Introduction to Algorithms, Addison-Wesley, Reading, MA (1989). [7] D. B. West, Introduction to Graph Theory, 2nd ed., Prentice-Hall, NJ (2001). 指導教授 廖勝強(Sheng-Chyang Liaw) 審核日期 2006-6-23 推文 facebook   plurk   twitter   funp   google   live   udn   HD   myshare   reddit   netvibes   friend   youpush   delicious   baidu