\n \ucf54\ub529 \ud14c\uc2a4\ud2b8\ub294 \ud504\ub85c\uadf8\ub798\ubc0d \ub2a5\ub825\uc744 \ud3c9\uac00\ud558\ub294 \uc88b\uc740 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uc624\ub298\uc740 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(MST)<\/strong> \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \n \uc544\ub798 \uadf8\ub798\ud504\ub97c \ub098\ud0c0\ub0b4\ub294 \uac04\uc120\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \n \uadf8\ub798\ud504\ub294 \uc815\uc810(\ub178\ub4dc)\uc640 \uac04\uc120\uc73c\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc2b5\ub2c8\ub2e4. \n \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc740 \uba3c\uc800 \uac04\uc120\uc744 \uac00\uc911\uce58\ub97c \uae30\uc900\uc73c\ub85c \uc815\ub82c\ud569\ub2c8\ub2e4. \n \uac04\uc120\uc744 \ucd94\uac00\ud560 \ub54c \uc0ac\uc774\ud074\uc774 \ubc1c\uc0dd\ud558\ub294\uc9c0\ub97c \ud655\uc778\ud558\uae30 \uc704\ud574 Union-Find<\/strong> \uc790\ub8cc\uad6c\uc870\ub97c \uc0ac\uc6a9\ud569\ub2c8\ub2e4. \n \uc0ac\uc774\ud074\uc774 \ubc1c\uc0dd\ud558\uc9c0 \uc54a\uc73c\uba74 \uac04\uc120\uc744 \uc120\ud0dd\ud558\uace0, \uadf8\ub807\uc9c0 \uc54a\uc73c\uba74 \uac04\uc120\uc744 \ubb34\uc2dc\ud569\ub2c8\ub2e4. \n \uc774\uc81c \ubaa8\ub4e0 \ub2e8\uacc4\uc758 \uad6c\ud604\uc744 \uacb0\ud569\ud558\uc5ec \ucd5c\uc885\uc801\uc73c\ub85c MST\ub97c \uad6c\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \n \uad6c\ud604\ub41c \uc54c\uace0\ub9ac\uc998\uc744 \ud1b5\ud574 \uc5bb\uc5b4\uc9c4 \uacb0\uacfc\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.
\n \uc774 \ubb38\uc81c\ub294 \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c \ud65c\uc6a9\ub418\uba70, \ud2b9\ud788 \ucef4\ud4e8\ud130 \ub124\ud2b8\uc6cc\ud06c\uc640 \uad00\ub828\ub41c \ubb38\uc81c\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud569\ub2c8\ub2e4.
\n \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ucd95\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc740 \uc5ec\ub7ec \uac1c\uac00 \uc788\uc9c0\ub9cc, \ud2b9\ud788 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998(Kruskal’s Algorithm)<\/strong>\uacfc \ud504\ub9bc \uc54c\uace0\ub9ac\uc998(Prim’s Algorithm)<\/strong>\uc774 \ub9ce\uc774 \uc0ac\uc6a9\ub429\ub2c8\ub2e4.\n<\/p>\n\ubb38\uc81c \uc124\uba85<\/h2>\n
\n \uac01 \uac04\uc120\uc758 \uac00\uc911\uce58\uac00 \ubd80\uc5ec\ub418\uc5b4 \uc788\uc73c\uba70, \uc804\uccb4 \uac00\uc911\uce58\uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub418\ub3c4\ub85d \uc5f0\uacb0\ub41c \uadf8\ub798\ud504\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4.\n<\/p>\n\ubb38\uc81c \uc815\uc758<\/h3>\n
\n \uc785\ub825:\n [(1, 2, 4), (1, 3, 1), (2, 3, 2), (2, 4, 5), (3, 4, 8), (1, 4, 3)]\n \ucd9c\ub825:\n \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \uac04\uc120 \ub9ac\uc2a4\ud2b8: [(1, 3, 1), (2, 3, 2), (1, 4, 3), (2, 4, 5)]\n \ucd5c\uc18c \uac00\uc911\uce58\uc758 \ud569: 11\n<\/pre>\n
\ubb38\uc81c \ud480\uc774 \uacfc\uc815<\/h3>\n
1\ub2e8\uacc4: \uadf8\ub798\ud504 \ub370\uc774\ud130 \uad6c\uc870 \uc774\ud574\ud558\uae30<\/h4>\n
\n \uc5ec\uae30\uc11c\ub294 \uac04\uc120\uc774 \ud29c\ud50c\uc758 \ud615\ud0dc\ub85c `(\uc2dc\uc791 \uc815\uc810, \ub05d \uc815\uc810, \uac00\uc911\uce58)`\ub85c \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4.
\n \uc6b0\ub9ac\ub294 \uc774 \ub370\uc774\ud130\ub97c \uc774\uc6a9\ud574 \uadf8\ub798\ud504\ub97c \uad6c\uc131\ud574\uc57c \ud569\ub2c8\ub2e4.\n<\/p>\n2\ub2e8\uacc4: \uac04\uc120 \uc815\ub82c\ud558\uae30<\/h4>\n
\n \uc640 \ud568\uaed8 \uc8fc\uc5b4\uc9c4 \uac04\uc120 \ub9ac\uc2a4\ud2b8\ub97c \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc815\ub82c\ud558\uc5ec \ucd5c\uc18c \uac00\uc911\uce58\uc758 \uac04\uc120\uc744 \uc120\ud0dd\ud560 \uc218 \uc788\ub3c4\ub85d \ud569\ub2c8\ub2e4.\n<\/p>\n3\ub2e8\uacc4: Union-Find \uad6c\uc870\ub85c \uc0ac\uc774\ud074 \uac80\uc0ac\ud558\uae30<\/h4>\n
\n \uc774 \uc790\ub8cc\uad6c\uc870\ub294 \ub450 \uac00\uc9c0 \uc8fc\uc694 \uae30\ub2a5\uc744 \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4:\n<\/p>\n\n
\n \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud558\ub294 \ub370 \ud544\uc694\ud55c \uae30\ubcf8\uc801\uc778 Union-Find \ud074\ub798\uc2a4\uc640 \uadf8 \uba54\uc11c\ub4dc\ub97c \uc815\uc758\ud569\ub2c8\ub2e4.\n<\/p>\n4\ub2e8\uacc4: MST \uad6c\ud604\ud558\uae30<\/h4>\n
\n \uc544\ub798\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud55c \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc758 \uc608\uc2dc\uc785\ub2c8\ub2e4.\n<\/p>\n\n class UnionFind {\n constructor(size) {\n this.parent = Array.from({length: size}, (_, index) => index);\n this.rank = Array(size).fill(1);\n }\n\n find(node) {\n if (this.parent[node] !== node) {\n this.parent[node] = this.find(this.parent[node]);\n }\n return this.parent[node];\n }\n\n union(node1, node2) {\n const root1 = this.find(node1);\n const root2 = this.find(node2);\n if (root1 !== root2) {\n if (this.rank[root1] > this.rank[root2]) {\n this.parent[root2] = root1;\n } else if (this.rank[root1] < this.rank[root2]) {\n this.parent[root1] = root2;\n } else {\n this.parent[root2] = root1;\n this.rank[root1]++;\n }\n }\n }\n\n connected(node1, node2) {\n return this.find(node1) === this.find(node2);\n }\n }\n\n function kruskal(edges, numVertices) {\n edges.sort((a, b) => a[2] - b[2]); \/\/ \uac04\uc120\ub4e4\uc744 \uac00\uc911\uce58 \uae30\uc900\uc73c\ub85c \uc815\ub82c\n const uf = new UnionFind(numVertices);\n const mst = [];\n let totalWeight = 0;\n\n for (const [u, v, weight] of edges) {\n if (!uf.connected(u - 1, v - 1)) {\n uf.union(u - 1, v - 1);\n mst.push([u, v, weight]);\n totalWeight += weight;\n }\n }\n\n return { mst, totalWeight };\n }\n\n const edges = [\n [1, 2, 4],\n [1, 3, 1],\n [2, 3, 2],\n [2, 4, 5],\n [3, 4, 8],\n [1, 4, 3]\n ];\n const numVertices = 4;\n\n const { mst, totalWeight } = kruskal(edges, numVertices);\n console.log(\"\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \uac04\uc120 \ub9ac\uc2a4\ud2b8:\", mst);\n console.log(\"\ucd5c\uc18c \uac00\uc911\uce58\uc758 \ud569:\", totalWeight);\n<\/pre>\n5\ub2e8\uacc4: \uacb0\uacfc \ubd84\uc11d\ud558\uae30<\/h4>\n
\n \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \uac04\uc120 \ub9ac\uc2a4\ud2b8 \ubc0f \uc804\uccb4 \uac00\uc911\uce58\ub97c \ud655\uc778\ud558\uc5ec \uc54c\uace0\ub9ac\uc998\uc774 \uc81c\ub300\ub85c \uc791\ub3d9\ud558\ub294\uc9c0 \ubd84\uc11d\ud569\ub2c8\ub2e4.
\n \uacb0\uacfc\uc801\uc73c\ub85c, \uc8fc\uc5b4\uc9c4 \uac04\uc120\uc744 \uae30\uc900\uc73c\ub85c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c\u5f62\u6210\ud558\ub294 \ub370 \uc131\uacf5\ud588\uc2b5\ub2c8\ub2e4.\n<\/p>\n