| 研究生: |
許豐如 Feng-Ru Hsu |
|---|---|
| 論文名稱: |
Distance-two domination of graphs |
| 指導教授: |
廖勝強
Sheng-Chyang Liaw |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 數學系 Department of Mathematics |
| 畢業學年度: | 94 |
| 語文別: | 英文 |
| 論文頁數: | 23 |
| 外文關鍵詞: | NP complete, domination |
| 相關次數: | 點閱:11 下載:0 |
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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.
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).