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| 1 | +package com.thealgorithms.graphs; |
| 2 | + |
| 3 | +import static org.junit.jupiter.api.Assertions.assertEquals; |
| 4 | +import static org.junit.jupiter.api.Assertions.assertThrows; |
| 5 | +import static org.junit.jupiter.api.Assertions.assertTrue; |
| 6 | + |
| 7 | +import com.thealgorithms.graphs.Kruskal.Edge; |
| 8 | +import java.util.ArrayList; |
| 9 | +import java.util.List; |
| 10 | +import org.junit.jupiter.api.Test; |
| 11 | + |
| 12 | +/** |
| 13 | + * Test cases for Kruskal's Algorithm |
| 14 | + * |
| 15 | + * @author Raghu0703 |
| 16 | + */ |
| 17 | +class KruskalTest { |
| 18 | + |
| 19 | + @Test |
| 20 | + void testSimpleGraph() { |
| 21 | + // Graph with 4 vertices |
| 22 | + int vertices = 4; |
| 23 | + List<Edge> edges = new ArrayList<>(); |
| 24 | + edges.add(new Edge(0, 1, 10)); |
| 25 | + edges.add(new Edge(0, 2, 6)); |
| 26 | + edges.add(new Edge(0, 3, 5)); |
| 27 | + edges.add(new Edge(1, 3, 15)); |
| 28 | + edges.add(new Edge(2, 3, 4)); |
| 29 | + |
| 30 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 31 | + |
| 32 | + // MST should have exactly 3 edges (V-1) |
| 33 | + assertEquals(3, mst.size()); |
| 34 | + |
| 35 | + // Total weight should be 19 (4 + 5 + 10) |
| 36 | + assertEquals(19, Kruskal.getMSTWeight(mst)); |
| 37 | + } |
| 38 | + |
| 39 | + @Test |
| 40 | + void testDisconnectedComponents() { |
| 41 | + // Graph with 5 vertices but only 3 can be connected |
| 42 | + int vertices = 5; |
| 43 | + List<Edge> edges = new ArrayList<>(); |
| 44 | + edges.add(new Edge(0, 1, 1)); |
| 45 | + edges.add(new Edge(1, 2, 2)); |
| 46 | + edges.add(new Edge(3, 4, 3)); |
| 47 | + |
| 48 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 49 | + |
| 50 | + // MST should have 3 edges (not complete spanning tree due to disconnection) |
| 51 | + assertEquals(3, mst.size()); |
| 52 | + assertEquals(6, Kruskal.getMSTWeight(mst)); |
| 53 | + } |
| 54 | + |
| 55 | + @Test |
| 56 | + void testSingleEdge() { |
| 57 | + int vertices = 2; |
| 58 | + List<Edge> edges = new ArrayList<>(); |
| 59 | + edges.add(new Edge(0, 1, 5)); |
| 60 | + |
| 61 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 62 | + |
| 63 | + assertEquals(1, mst.size()); |
| 64 | + assertEquals(5, Kruskal.getMSTWeight(mst)); |
| 65 | + } |
| 66 | + |
| 67 | + @Test |
| 68 | + void testCompleteGraph() { |
| 69 | + // Complete graph with 4 vertices |
| 70 | + int vertices = 4; |
| 71 | + List<Edge> edges = new ArrayList<>(); |
| 72 | + edges.add(new Edge(0, 1, 1)); |
| 73 | + edges.add(new Edge(0, 2, 4)); |
| 74 | + edges.add(new Edge(0, 3, 3)); |
| 75 | + edges.add(new Edge(1, 2, 2)); |
| 76 | + edges.add(new Edge(1, 3, 5)); |
| 77 | + edges.add(new Edge(2, 3, 6)); |
| 78 | + |
| 79 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 80 | + |
| 81 | + // MST should have 3 edges |
| 82 | + assertEquals(3, mst.size()); |
| 83 | + |
| 84 | + // Total weight should be 6 (1 + 2 + 3) |
| 85 | + assertEquals(6, Kruskal.getMSTWeight(mst)); |
| 86 | + } |
| 87 | + |
| 88 | + @Test |
| 89 | + void testGraphWithEqualWeights() { |
| 90 | + int vertices = 3; |
| 91 | + List<Edge> edges = new ArrayList<>(); |
| 92 | + edges.add(new Edge(0, 1, 5)); |
| 93 | + edges.add(new Edge(1, 2, 5)); |
| 94 | + edges.add(new Edge(0, 2, 5)); |
| 95 | + |
| 96 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 97 | + |
| 98 | + assertEquals(2, mst.size()); |
| 99 | + assertEquals(10, Kruskal.getMSTWeight(mst)); |
| 100 | + } |
| 101 | + |
| 102 | + @Test |
| 103 | + void testEmptyGraph() { |
| 104 | + int vertices = 3; |
| 105 | + List<Edge> edges = new ArrayList<>(); |
| 106 | + |
| 107 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 108 | + |
| 109 | + assertTrue(mst.isEmpty()); |
| 110 | + } |
| 111 | + |
| 112 | + @Test |
| 113 | + void testInvalidVertexCount() { |
| 114 | + List<Edge> edges = new ArrayList<>(); |
| 115 | + edges.add(new Edge(0, 1, 10)); |
| 116 | + |
| 117 | + assertThrows(IllegalArgumentException.class, () -> { |
| 118 | + Kruskal.kruskalMST(0, edges); |
| 119 | + }); |
| 120 | + |
| 121 | + assertThrows(IllegalArgumentException.class, () -> { |
| 122 | + Kruskal.kruskalMST(-5, edges); |
| 123 | + }); |
| 124 | + } |
| 125 | + |
| 126 | + @Test |
| 127 | + void testNullEdges() { |
| 128 | + assertThrows(IllegalArgumentException.class, () -> { |
| 129 | + Kruskal.kruskalMST(5, null); |
| 130 | + }); |
| 131 | + } |
| 132 | + |
| 133 | + @Test |
| 134 | + void testLargerGraph() { |
| 135 | + // Graph with 6 vertices |
| 136 | + int vertices = 6; |
| 137 | + List<Edge> edges = new ArrayList<>(); |
| 138 | + edges.add(new Edge(0, 1, 4)); |
| 139 | + edges.add(new Edge(0, 2, 4)); |
| 140 | + edges.add(new Edge(1, 2, 2)); |
| 141 | + edges.add(new Edge(1, 3, 5)); |
| 142 | + edges.add(new Edge(2, 3, 8)); |
| 143 | + edges.add(new Edge(2, 4, 10)); |
| 144 | + edges.add(new Edge(3, 4, 2)); |
| 145 | + edges.add(new Edge(3, 5, 6)); |
| 146 | + edges.add(new Edge(4, 5, 3)); |
| 147 | + |
| 148 | + List<Edge> mst = Kruskal.kruskalMST(vertices, edges); |
| 149 | + |
| 150 | + // MST should have 5 edges (6-1) |
| 151 | + assertEquals(5, mst.size()); |
| 152 | + |
| 153 | + // Verify minimum total weight |
| 154 | + assertEquals(16, Kruskal.getMSTWeight(mst)); |
| 155 | + } |
| 156 | +} |
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