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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/56876

Title:	有關對立圖形的探討 Some Problems on Opposition Graphs
Authors:	潘丞偉
Contributors:	張宜武潘丞偉
Keywords:	對立圖形 Opposition Graphs
Date:	2012
Issue Date:	2013-02-01 16:53:14 (UTC+8)
Abstract:	在這篇論文中，我們探討對立圖形的特性，並藉由度數大於等於三的點，判斷一樹是否為對立圖形，最後證明Pn, Cn n ≥ 3 且 n = 4k; k ∈ N 家族的圖是對立圖形且Tn, Cn n ≥ 3 且n ̸= 4k; k ∈ N 家族的圖是對立圖形。 In this thesis, we use the number of vertices with degree greater than or equal to 3 as a criterion for trees being opposition graphs. Finally, we prove some families of graphs such as Pn, Cn with n ≥ 3 and n = 4k; k ∈ N are opposition graphs and some families of graphs such as Tn, Cn with n ≥ 3 and n ̸= 4k; k ∈ N are not opposition graphs.
Reference:	References [1] A. N. Trenk, Tolerance Graphs, Cambridge Univ Pr, 2004. [2] A. Tucker, Applied Combinatorics, Wiley, 2006. [3] D. B. West, Introduction to Graph Theory, Prentice Hall, 2001.
Description:	碩士國立政治大學應用數學研究所 98751008 101
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0098751008
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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