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關於邊連通數和邊度數的問題 / Some topics on edge connectivity and edge degrees陳玫芳 Unknown Date (has links)
在這篇論文中,我們根據局部連通和局部補連通性質將圖分類,計算在 Harary 圖裡大小為 2k - 1 和 2k 邊切集的個數,和證明當圖形有最大的最小邊度數和最小點度數差,一些關於度數為 1 的點個數性質。 / In this thesis, we classify some graphs into locally coconnected graphs or locally connected graphs, compute the number of its edge cuts of size 2k - 1 and 2k in a Harary graph, and show some properties of the number of vertices of degree 1 when the graph has the maximum difference of minimum edge degree and minimum vertex degree.
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