\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uadf8\ub798\ud504 \ubb38\uc81c\ub294 \uc790\uc8fc \ucd9c\uc81c\ub429\ub2c8\ub2e4. \uc774 \ubd84 \uadf8\ub798\ud504\ub780 \ub450 \uac1c\uc758 \uc9d1\ud569\uc73c\ub85c \ub098\ub20c \uc218 \uc788\ub294 \uadf8\ub798\ud504\ub97c \uc758\ubbf8\ud558\uba70, \uc778\uc811\ud55c \ub450 \uc815\uc810\uc774 \uc11c\ub85c \ub2e4\ub978 \uc9d1\ud569\uc5d0 \uc18d\ud558\ub3c4\ub85d \ud560 \uc218 \uc788\ub294\uc9c0\ub97c \ud310\ubcc4\ud558\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc774\ubd84 \uadf8\ub798\ud504\ub97c \ud310\ubcc4\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\uc8fc\uc5b4\uc9c4 \ubb34\ubc29\ud5a5 \uadf8\ub798\ud504\uac00 \uc774\ubd84 \uadf8\ub798\ud504\uc778\uc9c0 \ud310\ubcc4\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud558\uc138\uc694. \uc774\ubd84 \uadf8\ub798\ud504\ub294 \uc815\uc810\ub4e4\uc744 \ub450 \uac1c\uc758 \uadf8\ub8f9\uc73c\ub85c \ub098\ub204\uc5b4, \uac19\uc740 \uadf8\ub8f9\uc5d0 \uc788\ub294 \ub450 \uc815\uc810 \uac04\uc5d0 \uac04\uc120\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc544\uc57c \ud569\ub2c8\ub2e4.<\/p>\n
n<\/code> (1 \u2264 n<\/code> \u2264 1000)<\/li>\n- \uac04\uc120\uc758 \uc218
m<\/code> (0 \u2264 m<\/code> \u2264 1000)<\/li>\nm<\/code>\uac1c\uc758 \uac04\uc120 \uc815\ubcf4 (\uc815\uc218 \uc30d u, v<\/code>\ub85c, \uc815\uc810 u<\/code>\uc640 \uc815\uc810 v<\/code>\uac00 \uc5f0\uacb0\ub418\uc5b4 \uc788\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4)<\/li>\n<\/ul>\n\ucd9c\ub825<\/h3>\n
\uc774 \uadf8\ub798\ud504\uac00 \uc774\ubd84 \uadf8\ub798\ud504\uc774\uba74 true<\/code>, \uc544\ub2c8\uba74 false<\/code>\ub97c \ucd9c\ub825\ud558\uc138\uc694.<\/p>\n\ubb38\uc81c \uc811\uadfc \ubc29\ubc95<\/h2>\n
\uc774\ubd84 \uadf8\ub798\ud504\ub97c \ud310\ubcc4\ud558\uae30 \uc704\ud574\uc11c\ub294 \uadf8\ub798\ud504\ub97c \uc0c9\uce60\ud558\ub294 \uae30\ubc95\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uac01 \uc815\uc810\uc744 \ub450 \uac00\uc9c0 \uc0c9, \uc608\ub97c \ub4e4\uc5b4 ‘0’\uacfc ‘1’\ub85c \uc0c9\uce60\ud558\uc5ec \uc778\uc811\ud55c \uc815\uc810\uc774 \uac19\uc740 \uc0c9\uc73c\ub85c \uc0c9\uce60\ub418\uba74 \uc774\ubd84 \uadf8\ub798\ud504\uac00 \uc544\ub2c8\ub77c\ub294 \uac83\uc785\ub2c8\ub2e4.<\/p>\n
\uad6c\ud604 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n
\n- \uadf8\ub798\ud504\ub97c \uc778\uc811 \ub9ac\uc2a4\ud2b8 \ud615\ud0dc\ub85c \ud45c\ud604<\/li>\n
- \uac01 \uc815\uc810\uc758 \uc0c9\uc744 \uc800\uc7a5\ud560 \ubc30\uc5f4\uc744 \uc0dd\uc131<\/li>\n
- \ub108\ube44 \uc6b0\uc120 \ud0d0\uc0c9(BFS) \ub610\ub294 \uae4a\uc774 \uc6b0\uc120 \ud0d0\uc0c9(DFS)\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc815\uc810\uc744 \ubc29\ubb38\ud558\uace0 \uc0c9\uce60\ud558\uae30<\/li>\n
- \uc778\uc811 \uc815\uc810\uc758 \uc0c9\uc774 \uac19\uc740 \uacbd\uc6b0, \uc774\ubd84 \uadf8\ub798\ud504\uac00 \uc544\ub2d8\uc744 \ubc18\ud658<\/li>\n<\/ul>\n
\ucf54\ub4dc \uad6c\ud604<\/h2>\n
\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc704 \ub2e8\uacc4\uc5d0 \ub530\ub77c \uc774\ubd84 \uadf8\ub798\ud504\ub97c \ud310\ubcc4\ud558\ub294 \ud568\uc218\ub97c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\nfunction isBipartiteGraph(n, edges) {\n \/\/ \uadf8\ub798\ud504\ub97c \uc778\uc811 \ub9ac\uc2a4\ud2b8\ub85c \ud45c\ud604\n const graph = Array.from({length: n}, () => []);\n edges.forEach(([u, v]) => {\n graph[u].push(v);\n graph[v].push(u); \/\/ \ubb34\ubc29\ud5a5 \uadf8\ub798\ud504\uc774\ubbc0\ub85c \uc591\ucabd\uc5d0 \ucd94\uac00\n });\n\n const colors = Array(n).fill(-1); \/\/ \uac01 \uc815\uc810\uc758 \uc0c9\uc744 \uc800\uc7a5 (-1: \ubbf8\ubc29\ubb38, 0: \uccab \ubc88\uc9f8 \uc0c9, 1: \ub450 \ubc88\uc9f8 \uc0c9)\n\n const bfs = (start) => {\n const queue = [start];\n colors[start] = 0; \/\/ \uc2dc\uc791 \uc815\uc810\uc740 \uccab \ubc88\uc9f8 \uc0c9\uc73c\ub85c \uc0c9\uce60\n\n while (queue.length) {\n const node = queue.shift();\n\n for (const neighbor of graph[node]) {\n if (colors[neighbor] === -1) {\n \/\/ \uc778\uc811 \uc815\uc810\uc774 \ubbf8\ubc29\ubb38\uc774\uba74 \uc0c9\uce60\ud558\uace0 \ud050\uc5d0 \ucd94\uac00\n colors[neighbor] = 1 - colors[node];\n queue.push(neighbor);\n } else if (colors[neighbor] === colors[node]) {\n \/\/ \uc778\uc811 \uc815\uc810\uc758 \uc0c9\uc774 \ud604\uc7ac \ub178\ub4dc\uc640 \uac19\uc73c\uba74 \uc774\ubd84 \uadf8\ub798\ud504\uac00 \uc544\ub2d8\n return false;\n }\n }\n }\n return true;\n };\n\n \/\/ \ubaa8\ub4e0 \uc815\uc810\uc744 \ud655\uc778\ud558\uc5ec \uc5f0\uacb0\ub41c \ucef4\ud3ec\ub10c\ud2b8\uac00 \uc788\uc744 \uacbd\uc6b0 BFS \uc218\ud589\n for (let i = 0; i < n; i++) {\n if (colors[i] === -1) {\n if (!bfs(i)) return false;\n }\n }\n \n return true;\n}\n\n\/\/ \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\nconst n = 4;\nconst edges = [[0, 1], [0, 2], [1, 3], [2, 3]];\nconsole.log(isBipartiteGraph(n, edges)); \/\/ false\n <\/code><\/pre>\n\uc54c\uace0\ub9ac\uc998 \ubd84\uc11d<\/h2>\n
\uc704\uc758 \uc54c\uace0\ub9ac\uc998\uc740 \ub108\ube44 \uc6b0\uc120 \ud0d0\uc0c9(BFS)\uc744 \uc0ac\uc6a9\ud558\uc5ec \uadf8\ub798\ud504\uc758 \ubaa8\ub4e0 \uc815\uc810\uc744 \ud0d0\uc0c9\ud569\ub2c8\ub2e4. \uadf8\uc5d0 \ub530\ub77c \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n + m)\uc785\ub2c8\ub2e4. \uc5ec\uae30\uc11c n<\/code>\uc740 \uc815\uc810\uc758 \uc218, m<\/code>\uc740 \uac04\uc120\uc758 \uc218\uc785\ub2c8\ub2e4. \uc774\ub294 \uadf8\ub798\ud504\uc758 \ubaa8\ub4e0 \uc815\uc810\uacfc \uac04\uc120\uc744 \ud55c \ubc88\uc529 \ud0d0\uc0c9\ud558\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4.<\/p>\n\uacf5\uac04 \ubcf5\uc7a1\ub3c4 \ub610\ud55c O(n + m)\uc73c\ub85c \uc778\uc811 \ub9ac\uc2a4\ud2b8\uc640 \uc0c9 \ubc30\uc5f4\uc744 \uc800\uc7a5\ud558\uae30 \uc704\ud574 \uc774 \uc815\ub3c4\uc758 \uacf5\uac04\uc774 \ud544\uc694\ud569\ub2c8\ub2e4.<\/p>\n
\uacb0\ub860<\/h2>\n
\uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc774\ubd84 \uadf8\ub798\ud504\ub97c \ud310\ubcc4\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc744 \ud1b5\ud574 \uadf8\ub798\ud504 \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \ub54c \uc774\ubd84 \uadf8\ub798\ud504\uc778\uc9c0 \uc5ec\ubd80\ub97c \ud310\ub2e8\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc591\ud55c \ubb38\uc81c\uc5d0 \ud65c\uc6a9\ub420 \uc218 \uc788\uc73c\ubbc0\ub85c \ud655\uc2e4\ud788 \uc774\ud574\ud574 \ub450\uba74 \uc88b\uc2b5\ub2c8\ub2e4.<\/p>\n
\ub610\ud55c, \uc774 \ubb38\uc81c\uc758 \ud574\uacb0 \ubc29\ubc95\uc740 BFS \uc678\uc5d0\ub3c4 DFS\ub97c \uc0ac\uc6a9\ud558\uc5ec\ub3c4 \uc720\uc0ac\ud558\uac8c \uad6c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc758 \uace0\uc720 \ud2b9\uc131\uc744 \uc774\ud574\ud558\uace0 \uc774\ub97c \ubc14\ud0d5\uc73c\ub85c \ub2e4\uc591\ud55c \ubcc0\ud615 \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uc138\uc694.<\/p>\n
\ucd94\uac00 \uc5f0\uc2b5 \ubb38\uc81c<\/h2>\n
\uc774\ud574\ub97c \ub3d5\uae30 \uc704\ud574 \ub2e4\uc74c\uc758 \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uc138\uc694:<\/p>\n
\n- \ub300\uce6d \uc801 \uc774\ubd84 \uadf8\ub798\ud504 \ud310\ubcc4: \uc8fc\uc5b4\uc9c4 \uac04\uc120 \uc815\ubcf4\uac00 \ub300\uce6d\uc801\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \uacbd\uc6b0\uc5d0 \ub300\ud574 \uc774\ubd84 \uadf8\ub798\ud504 \uc5ec\ubd80\ub97c \ud310\ub2e8\ud558\ub77c.<\/li>\n
- \uc774\ubd84 \uadf8\ub798\ud504\uc758 \ucd5c\ub300 \ub9e4\uce6d: \uc8fc\uc5b4\uc9c4 \uc774\ubd84 \uadf8\ub798\ud504\uc5d0\uc11c \ucd5c\ub300 \ub9e4\uce6d\uc744 \ucc3e\ub294 \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud558\ub77c.<\/li>\n<\/ul>\n
\ucc38\uace0 \uc790\ub8cc<\/h2>\n
\uc774\ubd84 \uadf8\ub798\ud504\uc5d0 \uad00\ud55c \uc790\uc138\ud55c \uc124\uba85\uc740 Wikipedia\uc758 \uc774\ubd84 \uadf8\ub798\ud504<\/a> \ubb38\uc11c\ub97c \ucc38\uace0\ud558\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"