April 2014
Beginner to intermediate
830 pages
15h 21m
Chinese
Content preview from Mathematica 錦囊妙計
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140
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第三章
從完全樹出發
生成要刪除的邊
隨機給定邊的權重
示範
MinimumSpanningTree 與 ShortestPathSpanningTree 指令的使用
設定亂數種子，使讀者可重現下列運算
討論說明
圖 的 性 質 有 許 多 指 令 可 供 測 試， 如
HamiltonianQ
（ 是 否 存 在 恰 好 經 過 每 個 點 一 次
的 迴 路 ）、
EulerianQ
（ 是 否 存 在 恰 好 經 過 每 個 邊 一 次 的 路 徑 ）、
AntisymmetricQ
、
ReflexiveQ
、
UndirectedQ
、
SelfLoopsQ
與其他指令，
Combinatorica`
套件包含了超過 40
種的性質判斷指令。[Page-142]
ch03.indd 140 2014/4/2 上午 05:19:31
3.15 以圖論演算法取得圖的資訊
|
141
不具迴路（cycle）的有向圖稱為
有向無環圖
（
directed acyclic graph
，
DAG
）
，DAG 的
遞移閉包（transitive closure）是於 DAG 上新增從被繼承點指向繼承點的有向邊之超圖
（supergraph）。
以下顯示樹狀圖及其遞移閉包，當你同時顯示高度連接的圖（如遞移閉包）及點標籤
時，將邊的顯示
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