Java uses JGraphT's Prim algorithm, Kruskal algorithm, etc. to find the Minimum spanning tree

JGraphT is a library for manipulating, analyzing, and visualizing graphs in Java. It provides many common graph algorithms, including Prim algorithm and Kruskal algorithm for solving the Minimum spanning tree problem. 1. Maven coordinates: <dependency> <groupId>org.jgrapht</groupId> <artifactId>jgrapht-core</artifactId> <version>1.5.3</version> </dependency> This is the Maven coordinates of the JGraphT library, which can be added to the pom.xml file of the project for import. 2. A brief introduction to the JGraphT library: -JGraphT is an open source Java graph library that provides various classes and interfaces for manipulating and analyzing graphs. -It supports multiple types of graphs, including directed graphs, undirected graphs, weighted graphs, etc. -JGraphT provides many common graph algorithms, including shortest path algorithm, Minimum spanning tree algorithm, maximum flow algorithm, etc. -It also provides the function of visualizing graphs, which can be used to generate, layout, and render graphs. 3. Sample code (based on Prim algorithm): import org.jgrapht.Graph; import org.jgrapht.alg.interfaces.SpanningTreeAlgorithm; import org.jgrapht.alg.spanning.PrimMinimumSpanningTree; import org.jgrapht.graph.DefaultUndirectedWeightedGraph; import org.jgrapht.graph.DefaultWeightedEdge; public class MinimumSpanningTreeExample { public static void main(String[] args) { //Create a weighted undirected graph Graph<String, DefaultWeightedEdge> graph = new DefaultUndirectedWeightedGraph<>(DefaultWeightedEdge.class); String vertexA = "A"; String vertexB = "B"; String vertexC = "C"; String vertexD = "D"; String vertexE = "E"; String vertexF = "F"; //Add Vertex graph.addVertex(vertexA); graph.addVertex(vertexB); graph.addVertex(vertexC); graph.addVertex(vertexD); graph.addVertex(vertexE); graph.addVertex(vertexF); //Add edges and their weights DefaultWeightedEdge edgeAB = graph.addEdge(vertexA, vertexB); graph.setEdgeWeight(edgeAB, 4); DefaultWeightedEdge edgeAC = graph.addEdge(vertexA, vertexC); graph.setEdgeWeight(edgeAC, 3); DefaultWeightedEdge edgeBC = graph.addEdge(vertexB, vertexC); graph.setEdgeWeight(edgeBC, 2); DefaultWeightedEdge edgeBD = graph.addEdge(vertexB, vertexD); graph.setEdgeWeight(edgeBD, 5); DefaultWeightedEdge edgeCE = graph.addEdge(vertexC, vertexE); graph.setEdgeWeight(edgeCE, 6); DefaultWeightedEdge edgeDE = graph.addEdge(vertexD, vertexE); graph.setEdgeWeight(edgeDE, 1); DefaultWeightedEdge edgeDF = graph.addEdge(vertexD, vertexF); graph.setEdgeWeight(edgeDF, 4); DefaultWeightedEdge edgeEF = graph.addEdge(vertexE, vertexF); graph.setEdgeWeight(edgeEF, 2); //Using Prim Algorithm to Solve Minimum spanning tree SpanningTreeAlgorithm<DefaultWeightedEdge> prim = new PrimMinimumSpanningTree<>(graph); Graph<String, DefaultWeightedEdge> minimumSpanningTree = prim.getSpanningTree(); System.out.println("Minimum Spanning Tree:"); for (DefaultWeightedEdge edge : minimumSpanningTree.edgeSet()) { System.out.println(graph.getEdgeSource(edge) + " -- " + graph.getEdgeWeight(edge) + " --> " + graph.getEdgeTarget(edge)); } } } 4. Summary: This article introduces the Maven coordinates of the JGraphT library and a brief introduction to the library. Then, a sample code based on Prim algorithm is used to demonstrate how to use the JGraphT library to solve the Minimum spanning tree problem. Through this example, we can see that the JGraphT library provides easy-to-use interfaces and functions to operate and analyze graphs, as well as many commonly used graph algorithms, making it easier for us to solve various graph related problems.