kruskal s algorithm in c

Defined对于连通的无向图G(V,E),如果一个E的无环子集T,可以连接所有节点，并且又具有最小权重，称树g(V,T)为图G(V,E)的最小生成树。Concept pseudo-code Kruskal算法和Prim算法均使用贪心策略实现，两者的实现框架可由下列伪代码表示，首先，是一些叙述时使用的概念。集合A：某棵最小生成树的子集。安全边：加入集合A又不会破坏A性质的边。begin A初始为空 while(A未形成最小生成树) 选择一条安全边。 将安全边加入A。endProof of correctness of algorithm主要使用 循环不变式进行证明(这个概念在算法导论中经常用到)循环不变式： 在每遍循环开始之前，A是某棵最小生成树的子集。初始化：集合A直接满足循环不变式保持：算法循环中，选择安全边保证了该性质。终止：当算法终止时，所有边均属于某棵最小生成树，所以算法正确。About secure edges预先的一些概念：切割：无向图G(V,

1. Foreword This paper introduces the commonly used permutation and combination algorithms, including full permutation algorithm, full combination algorithm, m number selection and n combination algorithm. 2. Permutation algorithm The common permutation algorithms are:(A) Dictionary order method(B) The increment met

Optimization Algorithm Starter series article catalog (in update):1. Simulated annealing algorithm2. Genetic algorithmsGenetic Algorithms (GA, Genetic algorithm), also known as evolutionary algorithms. Genetic algorithm is a heuristic search algorithm, which is inspired by Darwin's theory of evolution and used for refe

Reprint please indicate source: http://www.cnblogs.com/tiaozistudy/p/twostep_cluster_algorithm.htmlThe two-step clustering algorithm is a kind of clustering algorithm used in SPSS Modeler, and it is an improved version of Birch hierarchical clustering algorithm. It can be applied to the clustering of mixed attribute datasets, and the mechanism of automatically de

Learning string matching algorithm for some time, but still a little confused, although the understanding of the algorithm process, but in the coding time will be a little confused.First put the written program here, and then have time to turn to look at it! #include Algorithm for string matching (brute force algorithm

In a buddy system algorithm, the heap manager allocates only a specific chunk of memory to be a permitted size. For each permitted size, there is an idle list to maintain. Generally these sizes will choose the power of 2, or Fibonacci sequence. This makes it easy to divide the number of other numbers except the smallest to two permitted size. When the heap manager that is responsible for allocating memory receives a memory request of the size of S,

1. Introduce In this paper, we introduce a relatively primary graph search algorithm, which includes depth first traversal, breadth first traversal and bidirectional breadth first traversal. 2. Depth First traversal DFS 2.1 Algorithm thought Begins with a vertex v in the diagram, accesses the node, and then starts the depth-first traversal of the graph from the unreachable adjacent points in the V. Until a

Apriori is a algorithm for frequent item set Mining and association rule learning over transactional databases. It proceeds by identifying the frequent individual items on the database and extending them to larger and larger item sets As long as those item sets appear sufficiently often in the database. The frequent item sets determined by Apriori can is used to determine association rules which highlight general trends in The database:this have appli

Opengl implements line scanning algorithm and area filling algorithm, and opengl AlgorithmOverview 1. Use the line scanning algorithm to draw a line segment. A straight line consists of discrete points. 2. Use the area Filling Algorithm to draw a polygon area. The area consists of discrete points. Development Environme

Learn the reason for this algorithm: Yesterday afternoon stroll, met the girlfriend is looking at the algorithm, suddenly asked me will not Freud algorithm. I agreed to, and then spent half an hour to learn the algorithm, and 5 minutes to listen to her, and also to share with you in need of friends, so that you in the

I studied the semester elective network management, because is limited to choose the class so I did not seriously class, today because the fast knot exam, I went, and then I found a big secret ...The original teacher from the third class has begun to talk about algorithmic introduction of knowledge, I am not missing what ...Don't say much nonsense, introduction greedy algorithm first popularize a basic prior knowledge of a theoryThe diagram (Graphs) i

binary search Algorithm definition The binary lookup algorithm is a search algorithm that finds a particular element in an ordered array. The search process begins with the middle element of the array, and if the intermediate element is exactly the element to be found, the search process ends, and if a particular element is greater than or less than the middle

Fast sorting algorithm definition Fast sequencing is a sort of algorithm developed by Donny Holl. On average, sort n items to 0 (n log n) comparisons. In the worst case scenario, a 0 (N2) comparison is required, but this is not a common situation. In fact, fast sequencing is usually much faster than the other 0 (n log n) algorithms because its internal loop (inner Loop) can be implemented efficiently on m

1.3 Scanning line seed filling algorithm The advantages of the two seed filling algorithms described in sections 1.1 and 1.2 are very simple, with the disadvantage of using recursive algorithms, which not only require a lot of stack space to store adjacent points, but are inefficient. In order to reduce the recursive call in the algorithm and save the use of stack space, many improved algorithms are propos

Data Structure and Algorithm Analysis Study Notes (2)-algorithm analysis, data structure and algorithm analysis I. Simplest understanding and use of algorithm analysis methods 1. First, you may be confused by the mathematical concepts. In fact, simply put, it is assumed that the execution efficiency of any statement is

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