Kruskal算法计算最小生成树(java)

算法4第4章加权无向图/Prim/Kruskal算法计算最小生成树讲解 加权无向图 加权图是为每条边关联一个权值的图模型,这种图可以自然的表示很多应用,在一副航班图中边表示航线,权值代表距离或价格,电路图中边表示电线,权值代表电线长度 边的权重不一定是距离,也可能是时间,费用,也可能是0或负数 加权无向图代码实现如下,只用把Graph实现里的Bag<Integer>换成Bag<Edge>,用Edge表示有权重的边 public class Ed... 阅读详情
最小生成树定义:
每一个无向图可拆分成多个子图,在这些子图中,如果图的各个顶点没有形成回路,则是图的一颗生成树。
最小生成树的意识是树的相邻节点距离之和最小。

应用场景:
张三被选为他们镇的镇长!他其中一个竞选承诺就是在镇上建立起互联网,并连接到所有的农场。
张三已经给他的农场安排了一条高速的网络线路,他想把这条线路共享给其他农场。为了用最小的消费,他想铺设最短的光纤去连接所有的农场,问要如何实现。

算法实现:
有关最小生成树的问题常见的算法有两种,分别是Kruskal(克鲁斯卡尔)算法和Prim(普里姆)算法,本文讲解Kruskal算法的实现

Kruskal算法的计算流程大致如下:
1.将无向图的边按距离长短递增式排序,放到集合中
2.遍历该集合,找出最短的边,加入到结果生成树的集合中
3.如果结果生成树出现回路,则放弃这条边
4.重新执行步骤2,直至所有顶点被遍历
可以看出在每次遍历过程中采用了贪心算法

算法实例图:


代码实现:
Edge类用与封装无向图中每条边的信息
public class Edge implements Comparable<Edge>{
	private String start;
	private String end;
	private int distance;
	public Edge(String start,String end,int distance){
		this.start=start;
		this.end=end;
		this.distance=distance;
	}
	public String getStart() {
		return start;
	}
	public void setStart(Str
【2023华为od-C卷-5G网络建设】100%通过率(JavaScript&Java&Python&C++) 现需要在某城市进行5G网络建设,已经选取N个地点设置5G基站,编号固定为1到N,接下来需要各个基站之间使用光纤进行连接以确保基站能互联互通,不同基站之间架设光纤的成本各不相同,且有些节点之间已经存在光纤相连,请你设计算法,计算出能联通这些基站的最小成本是多少。从第三行开始连域输入M行数据,将式为X Y Z P,其中X Y表示基能的编号,0<X<=N, 0 < Y<=N 且x不等于y, Z表示在X Y之间架设光纤的成本,其中0 < Z < 100,P表示是否已存在光纤连接,0表示未连接1表示已连接. 阅读详情

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深度学习工具包 DeepLearningToolbox

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