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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/38536

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/38536

Title:	有關有界雙容忍序的探討 A Study on Bounded Bitolerance Orders
Authors:	伍芷嫻
Contributors:	張宜武伍芷嫻
Keywords:	容忍圖有界雙容忍序集合梯形序 Tolerance graphs Bounded bitolerance orders Ordered sets Trapezoid orders
Date:	2008
Issue Date:	2010-04-09 13:11:05 (UTC+8)
Abstract:	在這篇論文中，我們探討了最近在有界雙容忍序中的一些成果。同時，我們提供一些標準的簡短證明，包含有界雙容忍序的等價種類，單位有界雙容忍序與適當有界雙容忍序的關係。我們的目標是希望能在有界雙容忍序的現今地位上，去提供新的洞悉，並給未來學習者一個方向。 In the paper、we study recent work on some classes of bounded bitolerance orders. Also, we provide the short proofs of some of classical results on bounded bitolerance orders, including the equivalent classes of bounded bitolerance orders、the relation of unit and proper bitolerance orders. Our goal is to provide the fresh insights into the current status of research in the area while suggesting directions for the future.
Reference:	[1] K. P. Bogart and G. Isaak、1998、Proper and unit bitolerance orders and graphs, Discrete Mathematics、181 37-51. [2] P. C. Fishburn、1970、Intransitive indierence with unequal indierence intervals、J. Math. Psych.、7 144-147. [3] M. C. Golumbic、I. Dagan、and R. Y. Pinter、1988、Trapezoid graphs and their clolring、Disrete Applied Math.、21 35-46. [4] M. C. Golumbic and A. N. Trenk、2003、Tolerance graphs、Cambridge University Press、Cambridge. [5] M. C. Golumbic and C. L. Monma、1982、A generalization of interval graphs with tolerances、Congress. Numer.、15 321-331. [6] G. Isaak、K. P. Bogart、J. D. Laison、and A. N. Trenk、2001、Comparability invariance results for tolerance orders、Order、18 281-294. [7] G. Isaak、K. L. Nyman、and A. N. Trenk、2003、A hierarchy of classes of bounded bitolerance orders、Ars Combinatioria、69 33-53. [8] L. Langley、1993、Interval tolerance orders and dimension、PhD thesis、Dartmouth College.
Description:	碩士國立政治大學應用數學研究所 95972013 97
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0959720131
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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