General Maximum Matching Algorithm에 대해 삽질을 많이 했고, 다른 사람이 삽질을 하지 않기 위해서 이 글을 쓰려고 합니다.
이 글은 매칭에 대해 잘 이해를 하고 있다고 가정하고, 이분그래프의 매칭을 찾는 법을 아는 사람을 위한 글입니다.
이분그래프에 대해서는 O(EV^0.5) 풀이가 존재하고, 시간복잡도 증명이 어렵지만 그 부분을 제외하고는 이해할 만 합니다.
사실 일반그래프에 대해서도 마찬가지가 존재하나, 구현하기가 굉장히 어렵습니다. 그래서 O(V^3) 시간 알고리즘을 소개하려고 합니다.
먼저 General Graph의 Matching에 어려움의 대해 설명을 하겠습니다.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeUAAADrCAIAAADYLxnxAAAAA3NCSVQICAjb4U/gAAAgAElEQVR4Xu1df4weRf3e81ulFOoVpEIKeneSWlBDW020JpDepUUlGHpoNUGQtkSj1kivEBKgmLsatCjqtWqhBMldI8YqmGuJJKiQawUF/4DSqrHYxmtNFC3E9hBsa7H3fd771OXlfXfn3R8zszO7z6Zp3tudH888M59nZmc/M9M2MTERaLuO7t+6ftNThy9YPrD8gqnaUmVCr2OAJLNBkAEvGNBvqm1a9doLEgmSDJABMuAlA2/wEjVBkwEyQAaqxwD1unp1zhKTATLgJwPUaz/rjajJABmoHgPU6+rVOUtMBsiAnwxQryPq7dlnn92/f3/EA94iA2TAYQZKb7nU69da3/r163t6etra2ubPn9/V1XXGGWfgz+3btzvcPgmNDJCBYGBgADZbCcuFPx+vsbGx7u7usOG3t7fXG0FfX9+hQ4fIEhkgA64xsHPnznnz5oXW2tHRUW+50HHXAOfEE+SMX4Lo0OIZM2agmiHTg4OD0G4pFH709/dL9UPNS1BSFoEMlIkBWGhouUNDQ+GgCiK+atUqsdze3t4yFZl6PbFkyRJU7dy5c0Olrq/g0dFRGW5DystU8SwLGfCdgYULF8Jy8X/k629ouSMjI76XNMRfdb1GXcrIGn1yXKVCqREGPXmkoMfF4n0yQAbMMYABtVhupFhLvuWz3Kp/b9y6dStqffny5fWzYPImFf6P+WuMvg8fPoyvzw2P+CcZIAOFMDA8PIx84SMgUyKRGMpnuVXXa5FgTHJF1nd4U75GUq/VLPEpGbDGgBijYpglSEpmuVXX6127dqFeW9a6BKBvnzVrZEZkQMEAXnbHx8craLlV12txAGq5OkYCtJR1RQvjIzJABnQxEM6BQLjVaZbMcquu152dnajvlhMdEkACq9sHn5IBMmCBAXEOSWi5pRlpVV2vZeZ6w4YNihaGNrFt2zYEqF9TowjPR2SADJhmQAZPa9euVWQUWm5p9Lrq/nxwBpIpESyNifM9kp4cbtpxAXifDJABywzAubblwgi4dUHNy2S5VddrNDL41UsXjbF2gy9nuNr1zW9+s8LN03JLZXZkgAyAAVk8AeNt3jEitNy3ve1tZbLcKYq3iYo8gtfHzJkzX3jhBfhi4zdenTDvId7W4hBy6qmnnjhx4umnn160aFFFOGExyYDjDECvf/GLX5x11lkvvvgivLBhvLBcXPWWi6cQ6z179ixYsMDx4iSFV/GOes2aNcLUrbfeKm9PDcThZeqyyy7DzalTpz7yyCMVp4vFJwOOMHDttdeKqWIRY8M2T3IfW4iI5U6bNq00llvd+RAMmb/whS+garEN41133SWtEK9RGzdu/MAHPoChNN62ZAH60aNHZY+RU045Bd24I+2VMMhANRk4fvz41VdfDcudMmVKaI+Y1bzzzjthuZdffnmJLbeieg2xliqHWN9///317R4ajaaATxn1N9FERLLrm0g1rYWlJgMFMqAYPMmHqDlz5pTYcquo1/X9c4NYo6Yj9Rr31bEKbMHMmgxUhAGItXxDwpvuo48+2lBq0WvMjTTcL5PlVk6vFf2zVHOcXuNp5BRKRUyFxSQDxTLw8ssvi1ifdtppzWINbHF63WC5zUO0YsuVKvdq6bW6fxbiFHotAWTWG3Mm4ax3KsYZmAyQgbQMQKzFxwMr0Z988snI6Aq9rrfc+u9Vkem4fLNCet2yf5Z6aqnXCHbzzTfLN+h169a5XLvERgZKwAB88kKxxgZtcSVqqdclsNyq6HXYP+NlKq5/Tq7XCAmlFsmGdsc1IN4nA2QgJwP/+Mc/LrroItjaW9/6VoVYI5ckeo1g4SF/iiXNOTGbi14Jva7vn9ViDaKTjK+lPjAfIpKNGRJzNcSUyUBlGYBYz549W8T6T3/6k5qHhHqNRPwdbJVfr5P3z9Iakus1wkOyMR2G9gTJxtdIdXviUzJABpIzcODAARHrt7/97S3FGskm12uxXB8HWyXX61T9s7SkVHqNKPjcDKds1D0cuuE5lLw5MiQZIANxDECsIdMwK0g2fscFq7+PV2eEb/bni4vr42CrzHqdtn+WehW9hoNnXDU338ciK5FsrKmhZDfzwztkIBUDGE2HYo0hV8K4WJycSq+RrHeDrdLqdX2VJ+yfpVmIXqPiE7YSCQbJhsQjFiQbXoOp4jIwGSADIQP4qIhPizAlfGZMLtaInkGvEcuvwVY6VfKlVUGspcrxMpWqylHAbHqNiPDhF8mGVz8l25emQpxOMQCxlrO+INZp90HNptci2b4Mtkp4vszu3bsvvvjigwcPosqfeOIJEW75tmD0f8j0ww8/DH/Bxx57DJvOvPLKK0azY+JkoGQMPPXUUzgbBBuiwtt6x44d4SGNpouJd2JYLiQbx0jBco8dO2Y6x+zpO9W75geDbw5SzajytP2z5J55fC3R8wPITwJTIAPeMQDDwVgHQoZxD1ZLZMCfeXwteeH9OCeADJjTRinVfEhY5RDrbFUO+nLqNVLI806Xtv4YngyUgIF6rcw8l5hTr0Gj+4Ot8syHYBZi8eLFmIVA/xxWf/b3jhwxMQ+DtznMw2BmBu93mJnJkRijkoGSMyCzELDccF6iqAKH8zDhzExRSGLzLUHnjCKE7hn5v/U9//zzQlZOZjI7qOTMl9HJgEcMaHTPyD++Ft4yO6hYoL0M8yH1VZ75ZSrkGrPeWvQaCYY+/3AmTeVTaKHimQUZKJwBve7PuvQatORxMDPKqvd6rbfKwbVGvRbJTrWm1mhlM3Ey4A4DsFy9ezlo1GuR7LQLLC1w67deh1WOteC6tu/Qq9eowrQbmFiodWZBBoploH4tuC4kevUaqLItkNZVnMh0PNZrQ8v/tes1eEeasickfA3Ve0JGVhJvkoEyMWBoezzteg3OM2xAZLSmfNVrQ1Uu2qpr/rq+5lLt6Wq0ypk4GSiQAXPbT5vQa5HshBtwW2DVS702V+Xm9Bop15+ZEHkAnYX6ZhZkoEAGjB7MZEivRRMceT/2T6+NVrlRvRbJVhzwXKAhMWsyYJoBOfjU3PGJ5vRaZKHlAZKmCUT6Pum1nePJTcxf11dkywPaLdQ6syADNhmot1xzx5OLXp999tmGipbwAFhDuUuy3ug1qhxOIJhZRv9srspBimm9RhbYIxtLuVAW7JoN53GjFczEyUCxDKC1i+WitRu1XNHr9vZ2c+XFYKvY92M/9NpaldvRa5FsO43YXNtlymSgJQM2hyYW9BrlLfb92AO9tkyQhfG1tHI70zstLYoByIAhBixbrh29Blc2O6GGqnFdr+2/gFjTa6kJ+QiDuRG4kxsyGyZLBuwzEFouNim14w1lTa9Fsgt5P3ZarwuZ4Les16h70x4v9m2VOVacgXrLxSaldtiwqdcokZ2PqA3UuavX4QIT9M/Wqhzs2NdrZGpu+Y8dU2EuZCBkoKilYZb1Wspr2knRD71GlYcO6jbFuii9Rr6YD5F1lWgBNH4y4CkD9ZZreeuFP/7xj7Ago/4hkZVi8/3YxfF1sRskhePrI0eORFaPuZuGdkQxB5gpk4F6Boq1XDkZyr5egwGjK67rGXZOr8M9sXA+C3ahtW8PoV7jh/3ctW8Pa78IzLGaDIRbI2Eb0kIst0C9Ro3bmdJsQ07yGm7zfxyBjEOAnp28kG93d/e8efOwhOQvf/nLJZdcgv9R5fimLDtHWwMmqJ555plf/epXyPSKK65473vfKwtbrGFARmBm6dKlr776KrJ+8MEH8ekmkiubkJgXGRAG9u/fj9aI/5stF6fx7d27F5b7+OOPy87R1kgTVPv27XviiSewng6GI3piDYBkdPfdd69cuRK/MaWJd+U4rnKhsj8WGBkZiTypHhTjQmHOP/98dJWWgSlQ4TuGZTCQaanUa665Jo4r+6gsk8DsXGNgcHAwrjUWaLkKVPZt5N577xXLhbdfHFd5UNkeXy9fvnzz5s0o0ty5c3t7e1HNGNWiIxoeHsZMCO7PmTMHw1tMhuTqhVJGbolqaGgIYVKmmis4jg/+9Kc/LYdJxnFlH1WuIjGyzwzgJRinSKMEOEIav3HJKBuWOz4+Pn369FmzZtm3XDUqKCbU3LLl/vCHP7zhhhvklO1IrnKhstmHgztpsfjRkC8mi5ctWyZP8/Q/GYpDVBlIY5RKMSDf0/ApL9JyZc4QMmT5tbiCqOx9b0RdygtCc5WHTV8qHoNua8ZAVNaoZkaeMiB+zRhLYc4wrghiuRjtxgXQfr+aqOzptXSGeEFQ1BxG2ejD0TJGR0cVwTQ+IiqNZDKpUjIgL76rVq1SlM6+5VYT1RusTalt374defX19SlyxAAck9oIIF+fFSF1PSIqXUwynbIyIMYohhlXRlguBtc2LbeaqOzptfDb2dkZV+VyXwJY02uiUlcHn5IBLFMECeIBomBDAliz3GqimqKoAL2P8BEZCUb6uNRnJAHgNKI39/rU0KTgi4L/8RLnDqp6hG6iMlcjTNlZBkJLdMFyQ5Yqi8re+Boz16C7ZfcrAVp25snbN7yO4Ie0du3aFStWzJ8/H+70+B8vd/jSuH79+qJQqfG7iUqNmU9LyQBkuqOjA0WTmUNFGbVbriKvyqKyp9ciwTj+SlENYbOQuTB1yMin6Hihzhs2bFi9enVPTw/UuaurC6kNDAzAUTTsLfCxAn8iBTuoIqEqbrqJSgGYj0rMgLRGtV6L3YGEzJablsCKolJ889X7CC4fUiUK3w/x1kB/nm3vDgyZkQJci7DARFH9EOuwaBZQZaDRTVQZCsIoJWAAbnxiTYqFEfAeQZjMlpuBpWqisufPhyoROca7TKRkh+tWIp9mqFGkgxWA0pJC+a4Xa0nTMqqEBXETVULwDFYyBsKFEZGSLW0VJqbLchOyV0FUVvUa1RCOfLFIFHMjGBGjBWBqInyNUrt5JqzI+mDhWBXtKW6pjn1USQriJqokyBmmZAzgfTdsjXDJxdwI7pi23JYcVhCVbb1GHYS9ccOUBVbKYDjcspLSBgh7AnXillElLIWbqBKCZ7AyMQBxbHhVDe0XlqtY+miUhKqhsr3fk9Qx+mcMrvH1D98GUdn4dABVxYi7pXd2g8S3/BMZ4asjgiXZGskaqpaw6wO4iSpVERi4NAxEtkaMuFt6+xlloEKojPZ+isTD3Z2kItWDX0U6kY+Qmky0yeA6eeJGUUVCTXLTTVRJkDNM+RiQWeNQf4saWTcQWxFU9tbLGO1g6xOHwzWc+eBghMkEqDbak3oprTVgzIgMkAEykIeBwvR66tSp9biPHj2apxj1cUWs8XkE8y14UUq19MYcqjylcxNVnhIxLhkgAxkYKJtey0wWiMCcGpQ6lVgjlpvK6CaqDK2NUcgAGcjDQGF6nQe0Ii4G13iKD9mWD5VQQOIjMkAGyIAWBuytR9cCV52IrDiHwwlWn6tD8ikZIANkwDsGSqXX2NQJFYBdnIr1LvKuERAwGSADXjBQHr2GQzc8Q7CDAWdCvGh5BEkGyEBaBsozfy1bpBrdODstuQxPBsgAGdDIQHn0GqRoXx6pkWgmRQbIABnIyUB55kNyEsHoZIAMkAHHGaBeO15BhEcGyAAZOMkA9ZpNgQyQATLgBwPe6zUWneP0L35m9KO5ESUZIAM5GPBer+FtjaXnuHKQwKhkgAyQAQ8Y8FuvMazetm0baOYOfB60NUIsBQNu7mZTEVR+6zXWyECysUaGel0KKWAhPGCgIsqopSa0c+W9XnNwraVhMREyQAbcZ8Bjvcbqc5kM4eS1++2MCMkAGcjPgMd6jckQlB/nEnBZY/52wBTIABlwnwGP9Xrz5s3gl4Nr9xsZEZIBMqCFAY/1GocS4JBNfmnU0g6YCBkgA+4z4LFeY99UTIlwq2v3GxkRkgEyoIUBj/VaS/mZCBkgA2TAFwao177UFHGSATJQdQYK02vtnuRaapKotNDIRMgAGTDBAPX6daxSr000MqZJBsiAFgYK0+s86FevXg1nPu7Jl4dDxiUDZMA7Bvw7DwzLGrEnH4iemJjwjm4CJgNkgAxkZsC/8XW4rDFzmRmRDJABMuAjA/7p9fbt20F0d3e3j3QTMxkgA2QgMwP+6fWuXbuo15nrmxHJABnwlwHP9BqT17io1/42OCInA2QgMwOe6TVOa0RRFy5cyGXomaucEckAGfCUgWL8Q+CKN3369KVLl+7btw/EzZs379xzz03CoOg1wicJnDZMZlRpM0oV3k1UqYrAwKVhAG+3s2bNqrdcF4pWIVTwirN8jYyMRI6OocI7d+5UgxkaGsKefEhBHSzD0zyoMmSXMIqbqBKCZ7CSMTA4OJjZcs1RUSlUbeDRZg+JTfVk32qcM4CtUKHRGD+iexweHj5w4ACQQJERxiYk5EVUlglndt4xAI+sHTt2ADZmI/EbF8wW77uw3PHxceg4dNO+5VYOlbl+rzll1Kg0U/xoeHro0KFly5bJ05aj7OaU89whqjzsMW4VGOjv74dttre3R1ouXnnxFJI9NjZmk40KoqqtErRzoS7lZaq5ykMAUvEYdNuBhFyIyhrVzMhTBjB+koGUYh5SLBejXWtlrCYqe3otnSFephQ1ilE2+nA0jtHRUUUwjY+ISiOZTKqUDMiLL45zUpTOvuVWE5U9fz5Zl6g+bhEDcDnfS/xALMzxEZUFkpmF1wyIMaoP3oPlypJja5ZbTVT29Fr4bXmWuQSIrPVt27bJYhmNrT8/Ko1gwqTcRGWipEzTfQZkRXFLJ1oJEGm5JspYTVT2/K/xERnVFukPVF+dEiByr1Tp4THj3FL0k7eP/KiS55U8pJuokuNnSNcZwLqzSXs8eR0+HEyuRHvtwp+4GQSvfOYzcjOP5b4uZR1/hPpQNVT29Boz1/AHQverVlvpn5s7c5m4QF2ro6dtDDlRpc0uYXg3USUEz2BOM7B1a4B/2DRt0n1WdeFL0vDwab29HWvWwNcWBigzHnFR4iw3Lnye+5Dpjo6OCqKyNx8iEiy7oSqqKm77PelRIWSKuBke5USVIcckUdxElQQ5w7jOQG8vVDjAJjzw+li1KujoiAYMQ8MQG4Enlx/j/3DAFBke5ine2WpNj4yb7WZFUSm++ep9BJcPqRiF74d4a6DnxOfmhtzlEdyGnEKlF0yYWk6uDKFisuVkAE7T8NrCASDhv/7++pLCjU8sV7EwAt4jCBNpuYZIqyYqe/58qDbRXLzLREp2uG4l8qm47yAF7dWfB5V2MGGCbqIyV16mXBgD0OsZM06KdXv7RJQrbbgwIlKypa1CryMt11y5KojKql6j5rAMXfpqLF3F3Ag+HqIFYElr+BoV5+YpMyEKj/08zSIzqjyZtozrJqqWsBnADwZCXcYiFxlZ4+W16b1WyoL33bA1wiUXcyO4k9ByzbFRQVS29RqVF/bGDfNWWCmDzUPialc+M5rrwLOhikOr676bqHSVjukUxgAMDRq9fPmE/MDvpi0iGrBBHGXSo3m6GZZraCDVkh81qtFvf3ti9+6WiWgPoEaVhyvb+z1JZaN/xuAaH5TxjQKVjU8HGF9jxK3w/Whra0NcMNvcXHTdyYBKV9aKdNxEpQDMR64zgO+NK1bUQGLfD2zhBD8QeIwk26M4sjVixN3Sr84oJ7GojhypleuZZ4Jk2zXrBRmLasaM7Blp71uSJ4jJEOCGXiePYiEkUVkgmVkUxgC2LJbZ6mXLJnp7J+LnQBQI5Xs4ZkgUYew/ikZ1yikTc+ZMjI/bxyM5RqPKisaeP1/2LoUxyQAZ0MIAlsBceWVtIQz2wsSuxRhfY2Sddbh39OhRLaD0JtKI6vzzg+eeCz760eD4cb0ZpUqtEVWqyHWBqddZmWM8MuAdAxBreF7jmz+mRDo7a5Kd49KlQTkgRERtRPWOd9QCPf54cM01EaFt3WpElTVf6nVW5hiPDPjFwPr1AZY1ymw1kEOvq3CJXqOkP/lJcNttvpeYeu17DRI/GUjGAL68YTUjVLsiSi2shHqNP7/61WDz5mRkORrK3v4hjhJAWGSgIgx0d9eWmGedrfaVpHq9Rhmuu67mK7J4safF8WN8DYehnp4eLKvxlGXCJgNOMFA1sQbpDXp94kTtK+vvfudEdaQH4Ydew1MbzowK7+z0BWcMMkAGKsAA/EPkuuKK4L77aoPrf/87uPTS4K9/9bHwfui1j8wSMxkoKwNTp051sGjRqAD1nHNqaD/4wdpkyN69tVlsrKNZtCh46SULpYhGlTVjP/Ra9u/PWkbGIwNVZQDee/AJ0X3p1SBd6GJRyZTIggW1jE49Nbj11uDPf64NsT/2MQtO2bGoMhW7eL1O4plo7ZChkMMkqDIRniuSm6hyFYmRjTIwMBD09AT4v8rX7Nm10r///a9x8Ja3BN/9bnDPPcFDD/lFTPH+IceOHXOQMqJysFIIKR0DGFyL+1q+dTHpMnUwNPwX4cs4bVojNExth7Pbjc8c/bv48XVyYordUyY5ToYkA04wIMNqnBRTKYfrZuohypi8lutnPwsuvjh44IHmUF7cKX58nZym5kMdk8dlSDJQLQawSci2bbUiV3wyBAx0dQVw45MLe4n8+te1HVQ+8Qkf24Mfeh23DbSPjBMzGbDBANYxQpWwVQiWyVT8wvfGmTNPcrByZa0D+8Mfgkcf9XHVjB96PcAxQsVNjsVPy4DMXPf1pY1XwvCzZr1WKPiHgJPbbw++8Q0f9dqn+esStiQWiQyYYAC7pOJjI7Z2mjzgnNfrGLj++uCNbwx++cvg97/3jpki9VqvZ6Iu6olKF5NMpzAG4A4hO1xXcAF6S9IxN/LZz9ZCrV3bMqxrAajXjTVCvW5khH97xwAcQrDZDqaweUUycNNNAc4X/OlPa28hXl1F6rVXRBEsGSADZWEA/dlVV9U+Qu7e7VeR/PjeuH///gMHDiyEJykvMkAGyEB+BvDyETqN5E/NVgp+6HUXPCiDAKfEc8mMrYbBfMhAqRnwUKxRHz7Nh9jfRaTUDZaFIwNkwDMG/Bhfe0Yq4ZKBohjAa/74eM05pOJr0Ivi33C+fuh1e3s7t1Q13BKYfCkY2LDh5Ano5vXazd0iy43Kj/kQ7hxSCi1hIQwzAO80cVCzsga9JMp48GBwxx3Bz39utG50ceXH+NoolUycDJSEATmaAHuGcJlM8hodGgpuuSV43/uCD384eaSiQvoxvhZ2+L2xqFbCfP1gAMef48LiRl7JGcAOUKefHjz9dLBjR/JIRYX0Sa8PY78xXmSADMQxQL2OY0Zxf/r04ItfrD3HrIjzlx96PTw8PDo6yl36nG9OBFgoAzJC5Pg6bSXceGNtB6hHHnF/Byg/9Lqzs7PbyieUtBXN8GTAFQbCrTBoKWmrBGtnVqyoRfra19JGtRzeD722TAqzIwNeMgC3a/wzf5VwTzR8csQOUFu2aN8BSi9XTui1LmcXvQ2VqPTyydTMMiB78mFbPvOXXg3ShTcXKrCHE8ImJoL779eFR9LJhaoJCvW6iZL/3aBex1LDB2SgfAx85SvBk08Gt93mcsn+r5CPePD0+PGPf/yjH/3o2LFj55xzDjZyeumlly644IJimSKqYvln7u4zgJ0yN2/e/PDDD//nP/8588wz//73v2PhceGWqwfVWWcF552nsQr0oGoANGH9GhkZidxmD4sYd+7cGQdncHAQnxwVAeIiJryfDVXCxDMHcxNV5uIwotcMwAYzWK7pIlcKFWZsrF7L/vc9ZO7cuTj1HHo0NDSEHx0dHdKR4M9IQLL5Nbz6Ip/mvJkZVc581dHdRKXGzKdlZSDcfR4/YLCwRJjqqlWrsLcPLBc6Hme5RgmpGiqreo2eUEQZPxpqEVMioTxFDqKlYtBQtFd/HlTawYQJuonKXHmZcl4Gtm+fGBvLm0hMfNgdLBfSHGm5S5YsEckeMwYgElcFUdnTa9SlvEw1V3lYGVLxmBhprh6pG/TnzY/y3MmJKk/WirhuolIA5qPiGQiCCfwzcGH8JMMsvA3HJS+WixnLuADa75tF9dvfTuzZkwGzWVRwX8mAKVsUEVwMkxXRMcqW16vmeQ8Zb6qjK1KOe5QTVVyyOe+7iSpnoRjdLAPG9FpefNVDJYXlGiq1QVSbNtV6vk9+MgNyg6gm0djz59s+uXlYX1+f9NWR/2MA3tvbi0fNWzvJlqo4xTEyYuabOVFlzlcd0U1Uasx8WlYGxBjFMOPKCMuVFcjNlhsXJed9g6jgiP2mNwUPPJBh7YxBVJN82dNrKQlWlqvrSQI017rch4uMOnrapzlRpc0uYXg3USUEz2AlY2DXrl0oUcs96CVAs+UaYsMgqjPPDK6+urZ2Zt26tOANopqEYk+v5YCYSH+gelIkQPNWfNBrmSqRsWdaHuPC50QVl2zO+26iylkoRveRgdASM1uuiVIbR3XTTTXY2Br7hReS4zeOyqZei4NHy+5XAkR25suXL8ckWssRenJ+ETI/qlTZJQzsJqqE4BmsTAxApsXXtuU4SWG52gkxjurCC4OenuD48eBb30oO3jgqm3otErx161Z1+aVZRO7Gt37y0qvX+VGpi5PtqZuospWFsXxnQFqjWq8xtNwxuZtrpOWaYMA4KvnStnFj8K9/JcdvHFWGb6DZosDlQ4rd7PsRJih+EejP8bk5Wy5pYxFVWsYY3lEGjPmHwI1PLDdyYYSwgRdfhLFpucZRnTgx0dVVcxS5447kNW4alT1/PpRZ5BhvDZGSHa4QiXyanLK0IYkqLWMM7yIDWPobv51DTsDhwohIyRYLgl5btlzjqL7znYlrr504cCAVe0ZRWdVrFBvL0KWvxmQ05kawMAQtAMfHhK9RajfPVMQlD0xUybliyAoygPfd0Ebgkou5Edwp3HIriMq2XqOth71xw6wQ3D8K2YJAzE+BauPGjehFLK+1bYmqQK4qKFgsMsRRJj2aJ3NhuYqlj0apqxqqAvZTxVAaF2ZFsJM31r+gshcsWIDh9qZNm5J8rMBnDXhh67QA3LIAAAtoSURBVP3qiCaoQHXppZfu2bPnsssuA1p8T2jp2NTcoDPfUaBKwlXmfBmRDDQwAGv9yEc+Emm5W7ZsiXTossBh5VAZ7f0UiYe7O0mlJhwtIhjCa1+VHuJUoAp3EETXYnmsrUClYJiPyIAJBmR+NtTiokbWDUWrCCp762W0dLbSjcsiIi0JJk8Ek+wSGD/mz5+/du3a5kU9yVNjSDJABjxj4MUXCwdcmF43HGuW8PAt0WsIZct1N9mYVaDCm2C42S4A4Fyerq4uO6qtQJWtmIxVQgawVcPatcHAQAmLVniRHnoowOkz119fOBDP9Bp8iWiqvfcz06pWxnCILelbU201qsyFZcRSMXD4cE2sN28uVaEcKcxFFwX//KeJ09PTlq8wvU4LNAwv39kM6bUaFT5yNn8it6baamx8WnUG5s2rMYBRtu490apOLMqPXeo+/vHaDlB33lksG77qtSx+tc8dpkFk2ynJGoN9rBHAJW7j+BSJjoTz2vbrhTnWGJDFDc8+Szb0MzB5wk5w772pdoDSDmOK9hRNJyjja5nCtu9FBGc+7GGyYsUKFBNijSU/4t5H7zrT9c70WzOAYSD2PsVG85ObyPPSycB73hMsWhQ89liwYUNw++06U06Tln/ja5QOvjvwrtO+F3ZC3jCIlrVe4ouaMBaDkQHjDHR317Lg+NoQ0TffXEsYen3kiKEcWibrpV5jVAuxVh940bLkeQJgiI3oRXUYeZAzbpkZkCnsyX3yeOlnYPHi4N3vDl5+ObjrLv2JJ0vRS71OVjSDoTCyxhi/Wa+b7xgEwaTJQAMDGF+3t9fuTZ69x0s/A5jFvuSSYPZs/SknS9G/+etk5TIeCkNs+F/XZ4MvjT09PViBiQkT49kzAzIQyYC0vRkzIh/yZl4GcLQj/hV3Ua8zcg/fPmwRhQF1uJOJHMUgnyIp2RlpZbScDEzO1PEqKwOcD8les9hYst51DyNu2egDko11j9nTZUwyQAbIQBQDfus1VqUbWpgexVXjPXjyNTgUYgGk7EgFN20ZaDfG4d9kgAyQgawMeKzXGN5i3yVx1chafP3xMBMikg3tpmTr55cpkoEKM+CxXssc8bZt21yrvnrJbthyxDWoxEMG0jLg5m42tlHt2RNcdVXwuc+p2dOOymO9xlwEVs1gBrnlmetqTk08FcnGdDY/PJqgl2m2YABLZlavDrZubREs02PtGpQJRWMk26iwl8iWLcF99wUHDzZCqftbOyqP9Rq0iBq6OYYFNjeBKZoXH5WEAfhfw1EEK/F4GWLgwgtry9P/+99gcNBQDpHJlkGvMSXChSqRtcubFWVAvLCh2tyrz1wL6Ourpf2979lcnu63XsP3WbbD9mUky637zJkPU36NAayXWbas9iePLzDXLC6/PMCKOSxPx6Z9ti6/9RosyZTIBh9e/eAuggWQlGxbbbva+cjoD8cXcIhtqCG0tQU33FBL++tfD06cMJRJQ7Jl0Gvsloftpx3XQcDbuXMnvMUh2QX6jNtpVcyleAaw99PChTUYHGKbq4zrrgtOPz3429+CBx80l0l9yt7rNQoD+cP6FNmH2g5rGXIBPGwwgq6Fkp2BPUbJwoAMseHwiqPCeJlgYNq0ky59zz1nIvnmNMug182lcvNOKNkYa3OU7WYdlQoVTi3o6KiJtRnHvlJxlbkw6BRxRsSXv5w5gVQRqdep6MobmJKdl0HGT8XA8HAwOoqPPKkiMXAKBs47L8BpvLauwvRauye5FsYsoKqX7IRHLlhApYU9JuIcA93dAf7xKgsD1OvX1aQdZRTJluMfkzQkO6iSIGEYMkAGCmSgML02UWbsYnrGGWfgs56JxPWmKZJt/7xgvaVgamSADNhkoFR6PTY2hk953HvaZgNiXmSADNQYwMKZe+4JNm0yykap9BpefSAL42svhthG65WJk4FGBvDeOX8+l8800qLr79/8Jvj854NbbjG6PL1Uei1ndIF/rCR0fPlMcyMBYGzn7cvC+mb8vOM6AxjNYN++FStcx+kpvg99KHjnO2vek3ffba4EpdJr0IRDDLDJKrZ/krG2OeK0p4yDF7CUBj2NF2vrtRefCRpnAL59OD0do2xZR2M8v+plsGZNrczf/Gbw6quGCl82vcZ3PBmiQvX8mhVBB4NV9ahmdDk8mMZQc690sp2dASQbFzbbkR+VpsNA4T/1qWDmzOD554Mf/MBA6rUky6bXKFJ3d3cofIZYM5Qshtg8S8wQt0y2xgBWPPb3135gVgRzI7z0MjBlSnDjjbUk160LcKCBgWuKgTRbJ4m52unTpy9dunTfvn0IDbe2c889t3W0xCFkbiHt0Y6mUSWBL9sNYnwtbwmQbxdQJUHOMH4wgFls7NiHfft6empLH7EtVJoLM42zZs2qt9w0sU2FdQjVypW1Dbb27g2wKf+8efq5mrB+jYyMRO7NBNXGDnbW4ZzM0ClUMspG6/7Sl77kIFdF1RHz1cbA3LkY/k2sWpUqwcHBQQdbo3Oo+vrA7Z/f9S4TXGHYbvXCkYbSyWKnuv7+fqgktAk/8JFQ7uNPq4AmM3MQ1ejo6Nlnn+0gV/ZrhznqZ+DQoYn+/lTJysEgaJD4AYNF+4SpYuKxHd8wgwDaVIjluohqbOz7XV3TJk1XO1dW9Ro9oQgQfjS0lUOHDoWiaXmUTVSp7JaBK8gABBqWC2mOtNwlS5aIZGPBmk1yKojKnl6jLuUFobnKwzqWisfEiPZaRx8Avwv0Cg0pF4sqrphuoopDy/vlZgC2I8MsvA3HlVQsF5/64wJov19NVPb0WjpDvCAoag56Kq9XeNtSBEv7CMlKV9E8RV4gKkUp3ESlAMxHZWCgs3NiYGCiaYwsL76Y+lCU0ZDlKnKsJip7/nziDY1BrvTVkf9DVWWLUb0nZiFZDA3QEyBZrCGE9wWOVJcFkAWiimRAbrqJSgGYj7xnAGcawG8Evg04Q/bKK2s+2v9z+BNjVO/9CxPD4Bok6LVcBavVRGVPr4VfLBlX1AEeSQDttY7GBKcf6ZPhKofGh5382traikUVR4WbqOLQ8n4ZGIBrNtz7Jmeia+fRYFyFzUZwpGxb2y6cnzLpdKsupgTQbrlxmVYTlT29Hh8fB/WRPi71VSIBTOz+gZSh1JgaxpsdvFMk08JRRTZHN1FFQuXN8jCAATKUemwsgF+AnNVbV7YCLbeZ4VAfqobKnl6L503L7lcCtOzMm6sw4R2M32U1DabGMEvuCKoG8G6iSsgwg/nNAN6AMbjGNiNYoXfoEAbd4mvbcncH05Zbzypkupqo7Om1SPDWVkd/SrOQuTDT7R65OIgKpXYTlenqYPrOMTBjBrZ3kNao1msMeHfs2AH8diw3tJHKoVJ8gdX7CINZaY4K3w/xi0DP2ex4pxdMmBpRGSKWyZaGAXyrF8tVLIyQHXtsWm41Udnz50PzFTnGu0ykZIfrViKfmmv9RGWOW6ZcDgbChRGRki0WBE23bLkVRGVVr9F2ww992NgIcyP4+ocWgM+A4WuU2s3TUOsnKkPEMtlyMID33dBG4JKLWQjcKdxyK4jKtl6j+Ya9ccNsHfyjC9mCQCyKqMqhLCyFIQYgjjLp0TzJDstVLH00hEeSrRqqNhS7uQJM30H/jME1PijjGwUqGx80ML7GiLuld7ZRYERllF4mXgIGIm0EI+6WfnVGy14dVMXotdHKY+JkgAyQgVIyYM+fr5T0sVBkgAyQAWsMUK+tUc2MyAAZIAO5GKBe56KPkckAGSAD1higXlujmhmRATJABnIxQL3ORR8jkwEyQAasMUC9tkY1MyIDZIAM5GKAep2LPkYmA2SADFhjgHptjWpmRAbIABnIxQD1Ohd9jEwGyAAZsMYA9doa1cyIDJABMpCLAep1LvoYmQyQATJgjYH/B3n8iZpQ4gXGAAAAAElFTkSuQmCCAA==)
odd는 정점에서 간선을 홀수 번 타고 갈 수 있는 점, even은 정점에서 간선을 짝수번 타고 갈 수 있는 점이라고 말하겠습니다.
Graph 에서 Augment Path를 찾을 때, 이분그래프는 2가지 색으로 잘 칠해질 수 있기 때문에(odd, even) odd 정점이 비어있는지 아닌지만 확인하면 됩니다.
하지만 General graph에서는 어떤 정점이 odd이면서 동시에 even일 수 있기 때문에, 잘 처리를 해야 하고 처리를 한다고 해도 역추적이 어렵습니다.
우리는 이 Augment Odd cycle을 Blossom이라고 부르겠습니다.
이 cycle에는 특징이 하나 있습니다. 모든 Cycle위에 있는 점은 even입니다. 방향에 따라서 case가 2개가 나뉘게 되는데, 두 케이스 모두 blossom 위를 한 방향이나 반대방향으로 돌면서 Augment Path를 만들게 됩니다.
![](data:image/png;base64,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)
그래서 우리는, 이 blossom 위에 있는 점을 모두 even이라고 표시 해 줄것입니다. 이렇게 되면, augmenting path를 탐색하지 못하는 일이 없고 이것은 Edmond의 논문에서 증명이 되어 있습니다. 그러면 역추적을 할 때 굉장히 힘들것입니다. 우리는 이 역추적을 하는 방법을, blossom을 줄이지 않고 두개로 확장하는 방법을 사용할 것 입니다.
![](data:image/png;base64,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)
그림을 보면 10 - 3 - 4 - 6 - 5 의 blossom 이, 10 - 3 - 4 - 6 - 5와 10 - 5 - 6 - 4 - 3으로 나뉘어져 있다는 것을 확인할 수 있습니다. 우리는 탐색을 even인 점에서만 시작하기 때문에 (odd인 점은 단지 matching을 타고 가는것으로 끝납니다.) 탐색을 중복해서 하는일은 없게 되고, 10 - 3 - 4 - 6 - 5 가 모두 10에서 시작하는 blossom에 속해있다. 라는 사실을 저장해 두면, 다른 blossom이 생겼을 때 합치는 일도 어렵지 않습니다.
제가 과제로 작성했던 pdf 하나를 첨부하고 글을 마치도록 하겠습니다. 소스코드는 제가 첨부한 pdf안에 존재합니다.
201805.pdf
참고 문헌:
Maximales matching in Graphen [Pape & Conradt 1980]
Data Structures and Network Algorithms [Tarjan 1987]
추가:
이 방식의 시간복잡도가 O(V^3)이지만, 대부분의 경우에 O(VE)정도로 도는것 같습니다. 증명 혹은 반증은 하지 못했는데 나중에 O(VE^0.5) 알고리즘에 대해 공부하면서 써보려고 합니다.
추가 2: 트리를 나누어서 방문한 모든 odd, even 정점을 기억하는게 아니라 아니라, 그냥 even인 점을 타고가기만 하는 경우에는 반례가 있습니다.
![](https://t1.daumcdn.net/cfile/tistory/99E2CB475B476A7F0A)