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最大外平面圖的有界容忍表示法 / Bounded Tolerance Representation for Maximal Outerplanar Graphs郭瓊雲 Unknown Date (has links)
本文針對2-連通的最大外平面圖,討論其有界容忍表示法,且找到禁止子圖S3。我們更進一步證明:如果一個2-連通的最大外平面圖恰有兩個點的度為2時,則此圖為區間圖。 / We prove that a 2-connected maximal outerplanar graph G is a bounded tolerance graph if and only if there is no induced subgraph S3 of G and G has no
induced subgraph S3 if and only if G is an interval graph.
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探討平面圖的d維矩形表示法 / A Study on Strict d-box Representations of Planar Graphs劉淑慧 Unknown Date (has links)
本文我們探討平面圖形的嚴格d維矩形表示法。我們證明了四連通三角平面圖有嚴格的二維矩形表示法,而且我們推廣到每一個平面圖都有嚴格的三維矩形表示法。我們的目標是希望能在平面圖矩形表示法的現今地位上,提供新的洞悉,並給未來學習者一個方向。 / We study strict d-box representations of planar graphs. We prove that a 4-connected planar triangulation graph G has a strict 2-box representation. We extend this result to that every planar graph has a strict 3-box representation. Our goal is to provide some fresh insights into the current status of research in the area while suggesting directions for the future.
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