[數] 最小生成樹
Use a minimum spanning tree (MST) algorithm for the initialization. This is the default.
使用最小生成樹（MST）算法進行初始化。這是默認的。
Algorithm design and analysis of the classic procedure, mainly 0-1 knapsack problem , such as minimum spanning tree.
算法設計與分析的經典程式，主要有0-1背包問題，最小生成樹等。
The smallest connection problem is widely used in network optimization. The key of solution is to find a minimum spanning tree with rapid and effective algorithm.
最小連接問題在網絡優化中有廣泛的應用，找到快速有效的算法來構造最小生成樹是解決問題的關鍵。
This paper discusses how to solve Degree- constrained Minimum Spanning Tree Problems by means of genetic algorithm and gives a relative algorithm .
探讨了如何将遺傳算法應用于度約束的最小生成樹問題，并給出了相應的算法。
The minimum spanning tree(MST) was used to obtain the best connected-component of the image set to recover the transformation between images and project the images into the mosaic frame.
根據最小生成樹（MST）算法獲得圖像序列的連通分量，得到圖像對之間的變換矩陣并将圖像映射到拼接平面。
In this paper, a parthenogenetic algorithm for solving the degree-constrained minimum spanning tree problem is proposed.
提出了求解度約束最小生成樹問題的單親遺傳算法。
In order to lower the scale of the problem and shorten the running time of algorithm, we propose a problem-dividing method based on minimum spanning tree to solve the TSP.
本文提出了一種基于最小生成樹的TSP問題分塊求解算法，以此達到降低問題的規模、縮短算法運行時間的目的。
While the result of Minimum spanning tree suggested evolution relationship of different plague natural foci.
同時，最小生成樹提示了我國不同鼠疫自然疫源地的進化關系。
In this paper, considering the cost of the node degree, a Generalized Minimum Spanning Tree modal is presented.
本文考慮到節點度的代價問題 ，提出了廣義最小生成樹的概念 ，并分析了最小生成樹在實際應用中的局限性 。
The experiment results show that it is effective on solving Degree- constrained Minimum Spanning Tree Problem.
實驗結果表明，這種用遺傳算法解決度約束的最小生成樹問題是有效的。
A new algorithm based on the minimum spanning tree theory of graph was proposed which improved the computation efficiency and reliability of previous methods.
對基于圖的最小生成樹理論的算法進行了改進，新算法在效率和可靠性方面都有所提高；
According to the related optimizing theory, the Minimum Spanning Tree arithmetic and the Rectilinear SteinerMinimum Tree arithmetic were selected as the solution of the problem in this thesis.
然後根據相關的優化理論，提出了求解時間目标數學模型的最小生成樹算法和求解距離目标數學模型的最小矩形斯坦納樹算法。
The concept of minimum spanning tree is introduced and its limitation is analyzed.
介紹了最小生成樹的概念，分析了最小生成樹在實際應用中的局限性。
The multi-criteria Minimum Spanning Tree (mc-MST) problem is typical NP-hard problem and arises in many practical applications.
多目标最小生成樹問題是典型的NP難問題。在實際應用中具有廣泛的代表性。
Study on the Problem of Constrained Minimum Spanning Tree.
約束最小生成樹問題研究。
Apply the standard tools of VGC mechanism design to solve the minimum spanning tree problem.
文中将機制設計的标準工具VGC機制應用到解決最小支撐樹問題。
By means of the two methods, the minimum spanning tree can be got directly without drawing the original web graph, which can effectively decrease the inconvenience of the traditional methods.
兩種方法不需要作出複雜的網絡圖，而直接從關系矩陣中生成最小支撐樹，從而能有效克服傳統方法需繪網絡圖之不便。
Based on the discussion , efficient parallel algorithms for the shortest paths and the minimum spanning tree are proposed.
并在該模型上給出關于最短路與最小生成樹的高效算法，以及在實際并行計算機系統上實現的方法。
The shortest path problem of network is abstracted to a minimum spanning tree problem and the limitations of the minimum spanning tree are analyzed.
将網絡最短路徑問題抽象為求最小生成樹問題，分析了最小生成樹在解決實際問題時的局限性，引入了節點的度的概念；
For the cohesion of a person's face in certain high-dimensional space, a new method based on the minimum spanning tree of the nearest cover is proposed.
根據同一人臉的分布在一定的高維空間的類聚性，提出了一種新穎的基于最小生成樹的最鄰近覆蓋方法。
Based on the logical structure of minimum spanning tree, a stability degree constraint model is established and the laying scheme is given.
在最小生成樹邏輯結構上建立穩定性度約束模型，給出滿足度約束的鋪設方案。
Base on solving the problem of degree-constrained minimum spanning tree, we put forward a new method to solving clustering problem.
還在求解度限制樹問題的基礎上，提出了基于螞蟻算法的聚類分析方法。
The phylogenetic analysis of microarray data generated a minimum spanning tree that depicted the population structure of the 174 strains.
我們對174株菌的芯片數據進行了系統進化分析後，得到了174個菌株的種系結構圖——最小生成樹。
As it knows to all, the degree-constrained minimum spanning tree problem is a NP difficulty in the network design and optimization.
度約束最小生成樹問題是網絡設計和優化中的一個NP難題。
The main work summarized as follows:In chapter two, we have a single point of the constrained minimum spanning tree problem was stu***d.
如何求解網絡的度約束最小生成樹問題已成為一個好的研究課題。
最小生成樹（Minimum Spanning Tree, MST）是圖論中的一個核心概念，特指在一個帶權重的無向連通圖中，尋找一棵連接所有頂點的樹（即無環連通子圖），并且這棵樹的所有邊的權重之和最小。
其核心含義與特性如下：
基礎定義與目标
G = (V, E)，其中 V 是頂點集合，E 是邊集合。(u, v) ∈ E 都有一個權重 w(u, v)（可以是距離、成本、時間等）。T 是 G 的一個子圖，它包含 G 的所有頂點（V），并且是一棵樹（即連通且無環）。這意味着 T 恰好有 |V| - 1 條邊。關鍵特性
應用場景
經典求解算法
|V| - 1 條邊。它利用了貪心策略和并查集（Union-Find）數據結構來高效判斷環。, 來源參考：
最小生成樹（Minimum Spanning Tree，簡稱 MST）是圖論中的一個核心概念，指在一個帶權無向連通圖中，邊的權重總和最小的生成樹。以下是詳細解釋：
假設一個圖有 4 個頂點，邊權重如下：
( A-B: 1 ), ( A-C: 2 ), ( B-C: 3 ), ( B-D: 4 ), ( C-D: 5 )
其 MST 的邊為 ( A-B ), ( A-C ), ( B-D )，總權重為 ( 1+2+4=7 )。
通過以上算法和性質，MST 在優化問題中具有廣泛的理論和實用價值。
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