{"id":23286,"date":"2021-01-17T23:59:09","date_gmt":"2021-01-17T15:59:09","guid":{"rendered":"https:\/\/swarma.org\/?p=23286"},"modified":"2021-01-17T23:59:09","modified_gmt":"2021-01-17T15:59:09","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e5%ba%a6%ef%bc%8c%e4%bb%80%e4%b9%88%e6%98%af%e6%8f%a1%e6%89%8b%e5%ae%9a%e7%90%86-%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=23286","title":{"rendered":"\u4ec0\u4e48\u662f\u5ea6\uff0c\u4ec0\u4e48\u662f\u63e1\u624b\u5b9a\u7406 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"<div class='wxsyncmain'>                                                                                                           <img class=\"rich_pages\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"336\" data-ratio=\"0.66640625\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"1280\" style=\"box-sizing: border-box !important;overflow-wrap: break-word !important;visibility: visible !important;width: 562px;height: 375px;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-0a65ec1621868bbe942641c83abb6ed0.jpeg\"  \/><br \/>\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>\u672c\u6587\u662f\u5bf9\u96c6\u667a\u767e\u79d1\u4e2d\u201c\u5ea6\u201d\u8bcd\u6761\u7684\u6458\u5f55\uff0c\u53c2\u8003\u8d44\u6599\u53ca\u76f8\u5173\u8bcd\u6761\u8bf7\u53c2\u9605\u767e\u79d1\u8bcd\u6761\u539f\u6587\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u672c\u8bcd\u6761\u7531\u96c6\u667a\u4ff1\u4e50\u90e8\u4f17\u5305\u751f\u4ea7\uff0c\u96be\u514d\u5b58\u5728\u7eb0\u6f0f\u548c\u95ee\u9898\uff0c\u6b22\u8fce\u5927\u5bb6\u7559\u8a00\u53cd\u9988\u6216\u8005\u524d\u5f80\u5bf9\u5e94\u7684\u767e\u79d1\u8bcd\u6761\u9875\u9762\u8fdb\u884c\u4fee\u6539\uff0c\u4e00\u7ecf\u4fee\u6539\uff0c\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u7684\u79ef\u5206\u5956\u52b1\u5662\uff01<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u76ee\u5f55<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u4e00\u3001\u4ec0\u4e48\u662f\u5ea6\uff1f<br \/>\u4e8c\u3001\u63e1\u624b\u5b9a\u7406<br \/>\u4e09\u3001\u5ea6\u5e8f\u5217<br \/>\u56db\u3001\u7279\u6b8a\u503c<br \/>\u4e94\u3001\u5168\u5c40\u6a21\u578b<\/p>\n<p>\u516d\u3001\u76f8\u5173\u8d44\u6e90\u63a8\u8350<br \/>\u4e03\u3001\u96c6\u667a\u767e\u79d1\u8bcd\u6761\u5fd7\u613f\u8005\u62db\u52df<br \/><img class=\"rich_pages\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"312\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"900\" style=\"letter-spacing: 0.544px;box-sizing: border-box !important;overflow-wrap: break-word !important;visibility: visible !important;width: 562px;height: 312px;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-6ac18d6460d632202762c1a569005606.jpeg\"  \/>\u5ea6\uff1ahttps:\/\/wiki.swarma.org\/index.php?title=\u5ea6_Degree<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>1. \u4ec0\u4e48\u662f\u5ea6\uff1f<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/p>\n<p>\u5728\u56fe\u8bba Graph theory\u4e2d\uff0c\u56fe\u4e2d\u9876\u70b9\u7684 \u5ea6 Degree (\u6216\u4ef7)\u662f\u5165\u5c04\u5230\u8be5\u9876\u70b9\u7684\u8fb9\u7684\u6570\u91cf\u3002\u5728 \u591a\u91cd\u56fe Multigraph \u4e2d\uff0c \u81ea\u73af Loops \u4f1a\u88ab\u8ba1\u7b97\u4e24\u6b21\u3002\u9876\u70b9\u7684\u5ea6\u6570\u53ef\u8868\u793a\u4e3a\u6216\u3002\u4e00\u4e2a\u56fe\u7684\u6700\u5927\u5ea6\u503c\u53ef\u8868\u793a\u4e3a\uff0c\u6700\u5c0f\u5ea6\u503c\u53ef\u8868\u793a\u4e3a \u3002\u5728\u53f3\u4fa7\u7684\u591a\u91cd\u56fe\u4e2d\uff0c\u6700\u5927\u5ea6\u503c\u4e3a5\uff0c\u6700\u5c0f\u5ea6\u503c\u4e3a0\u3002<\/p>\n<p>\u5728 \u6b63\u5219\u56fe Regular Graph \u4e2d\uff0c\u6bcf\u4e2a\u9876\u70b9\u90fd\u5177\u6709\u76f8\u540c\u7684\u5ea6\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u79f0\u4e4b\u4e3a\u8be5\u56fe\u7684\u5ea6\u6570\u3002\u4e00\u4e2a \u5b8c\u5168\u56fe Complete Graph \uff08\u8868\u793a\u4e3a\uff0c\u5176\u4e2d\u662f\u56fe\u4e2d\u9876\u70b9\u7684\u6570\u76ee\uff09\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u6b63\u5219\u56fe\uff0c\u5b83\u6240\u6709\u9876\u70b9\u90fd\u6709\u6700\u5927\u5ea6\u503c\uff0c\u3002&nbsp;<\/p>\n<div class=\"post-image\"><img class=\"rich_pages js_insertlocalimg\" data-ratio=\"0.5977777777777777\" data-s=\"300,640\"  data-type=\"png\" data-w=\"450\" style=\"\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-4d4b1cc797639a6f6cc2fd7d978dc82c.png\"  \/><br \/>\u56fe1\uff1a\u5185\u542b\u81ea\u73af\u6309\u5ea6\u6807\u8bb0\u7684\u56fe<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/div>\n<p><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>2. \u63e1\u624b\u5b9a\u7406<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/p>\n<p>\u5ea6\u548c\u516c\u5f0f Degree Sum Formula \u8868\u660e\uff0c\u4efb\u610f\u7ed9\u5b9a\u4e00\u4e2a\u56fe,\u90fd\u6709<br  \/>:<\/p>\n<p>\u6b64\u516c\u5f0f\u8868\u660e\uff0c\u5728\u4efb\u4f55\u65e0\u5411\u56fe\u4e2d\uff0c\u62e5\u6709\u5947\u6570\u5ea6\u503c\u7684\u9876\u70b9\u7684\u4e2a\u6570\u662f\u5076\u6570\u3002\u8fd9\u4e00\u9610\u91ca\uff08\u4ee5\u53ca\u5ea6\u548c\u516c\u5f0f\uff09\u88ab\u79f0\u4e3a\u63e1\u624b\u5f15\u7406 Handshaking Lemma\u3002\u8be5\u540d\u79f0\u6765\u81ea\u4e00\u4e2a\u6709\u8da3\u7684\u6570\u5b66\u95ee\u9898\uff0c\u5373\u6c42\u8bc1\u65e0\u8bba\u8be5\u7fa4\u4f53\u5185\u6709\u591a\u5c11\u4eba\uff0c\u4e0e\u5947\u6570\u4e2a\u4eba\u63e1\u8fc7\u624b\u7684\u4eba\u6570\u603b\u662f\u5076\u6570\u3002<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>3. \u5ea6\u5e8f\u5217<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/p>\n<p>\u65e0\u5411\u56fe\u7684\u5ea6\u5e8f\u5217\u662f\u6307\u5c06\u5176\u5404\u9876\u70b9\u5ea6\u503c\u6309\u975e\u9012\u589e\u65b9\u5f0f\u6392\u5e8f\uff0c\u5bf9\u4e8e\u4e0a\u8ff0\u56fe\u662f\uff085\uff0c3\uff0c3\uff0c2\uff0c2\uff0c1\uff0c0\uff09\u3002\u5ea6\u5e8f\u5217\u662f\u56fe\u4e0d\u53d8\u91cf Graph Invariant\uff0c\u56e0\u6b64\u540c\u6784\u56fe Non-isomorphic Graphs\uff08\u4e24\u4e2a\u56fe\u4e2d\u9876\u70b9\u7684\u5ea6\u503c\u90fd\u76f8\u540c\uff0c\u4f46\u5f62\u72b6\u4e0d\u540c\uff09\u5177\u6709\u76f8\u540c\u7684\u5ea6\u5e8f\u5217\u3002\u7136\u800c\uff0c\u5ea6\u5e8f\u5217\u901a\u5e38\u4e0d\u80fd\u552f\u4e00\u5730\u6807\u8bc6\u4e00\u4e2a\u56fe\uff0c\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u975e\u540c\u6784\u56fe\u4e5f\u4f1a\u5177\u6709\u76f8\u540c\u7684\u5ea6\u5e8f\u5217\u3002<\/p>\n<p><img class=\"rich_pages js_insertlocalimg\" data-ratio=\"1\" data-s=\"300,640\"  data-type=\"png\" data-w=\"300\" style=\"\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-ea311bb895ed79e5d978559e8312f902.png\"  \/><br \/>\u56fe2\uff1a\u540c\u4e00\u5ea6\u5e8f\u5217\uff083\uff0c2\uff0c2\uff0c2\uff0c2\uff0c1\uff0c1\uff0c1\uff09\u7684\u975e\u540c\u6784\u56fe<\/p>\n<p>\u5ea6\u5e8f\u5217\u95ee\u9898 Degree Sequence Problem\uff0c\u662f\u6307\u5bfb\u627e\u5ea6\u5e8f\u5217\u4e3a\u7ed9\u5b9a\u7684\u975e\u9012\u589e\u6b63\u6574\u6570\u5e8f\u5217\u7684\u5c40\u90e8\u6216\u5168\u90e8\u56fe\u7684\u95ee\u9898\u3002\uff08\u5e8f\u5217\u5c3e\u90e8\u7684\u96f6\u53ef\u80fd\u4f1a\u88ab\u5ffd\u7565\uff0c\u56e0\u4e3a\u901a\u8fc7\u5411\u56fe\u4e2d\u6dfb\u52a0\u9002\u5f53\u6570\u91cf\u7684\u5b64\u7acb\u9876\u70b9\u5c31\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u5e8f\u5217\u5c3e\u90e8\u4e0d\u65ad\u52a0\u96f6\u3002\uff09\u4e00\u4e2a\u5e8f\u5217\u662f\u67d0\u4e2a\u56fe\u7684\u5ea6\u5e8f\u5217\uff0c\u5373\u4e00\u4e2a\u5ea6\u5e8f\u5217\u95ee\u9898\u6709\u89e3\u65f6\uff0c\u8be5\u5e8f\u5217\u79f0\u4e3a\u56fe\u5f62\u5e8f\u5217\u3002\u7531\u4e8e\u5ea6\u548c\u516c\u5f0f\u7684\u5b58\u5728\uff0c\u4efb\u4f55\u5177\u6709\u5947\u6570\u548c\u7684\u5e8f\u5217\uff0c\u5982\uff083\uff0c3\uff0c1\uff09 \uff0c\u90fd\u4e0d\u4f1a\u662f\u56fe\u7684\u5ea6\u5e8f\u5217\u3002\u53cd\u4e4b\u4ea6\u7136\uff1a\u5982\u679c\u4e00\u4e2a\u5e8f\u5217\u548c\u662f\u5076\u6570\uff0c\u5b83\u5c31\u662f\u91cd\u56fe\u7684\u5ea6\u5e8f\u5217\u3002\u6211\u4eec\u53ef\u4ee5\u8f7b\u6613\u5730\u6784\u9020\u4e00\u4e2a\u56fe\uff1a\u5339\u914d\u5947\u6570\u5ea6\u503c\u7684\u9876\u70b9\u5e76\u6210\u5bf9\u8fde\u63a5\u8d77\u6765\uff0c\u7136\u540e\u5269\u4f59\u7684\u5076\u6570\u5ea6\u503c\u9876\u70b9\u90fd\u8fde\u51fa\u4e00\u6761\u8fb9\u6307\u5411\u56fe\u5f62\/\u8d77\u70b9\u672c\u8eab\u3002<\/p>\n<p>\u201c\u4e00\u4e2a\u7ed9\u5b9a\u7684\u5ea6\u5e8f\u5217\u662f\u5426\u53ef\u4ee5\u7528\u4e00\u4e2a\u7b80\u5355\u7684\u56fe\u8fdb\u884c\u8868\u793a\u201d\u662f\u4e00\u4e2a\u5177\u6709\u6311\u6218\u6027\u7684\u95ee\u9898\u3002\u8fd9\u4e2a\u95ee\u9898\u4e5f\u79f0\u4e3a\u8fd9\u4e2a\u95ee\u9898\u4e5f\u79f0\u4e3a\u56fe\u5b9e\u73b0\u95ee\u9898 Graph Realization Problem\uff0c\u4f46\u5b83\u53ef\u4ee5\u7528Erd\u0151s\u2013Gallai\u5b9a\u7406 Erd\u0151s\u2013Gallai Theoreme\u89e3\u51b3\uff0c\u4e5f\u53ef\u4ee5\u7528Havel-Hakimi\u7b97\u6cd5 Havel\u2013Hakimi Algorithm\u89e3\u51b3\u3002<\/p>\n<p>\u57fa\u4e8e\u7ed9\u5b9a\u5ea6\u5e8f\u5217\u5bfb\u627e\u6216\u4f30\u8ba1\u53ef\u80fd\u7684\u56fe\u7684\u4e2a\u6570\uff0c\u662f\u56fe\u679a\u4e3e Graph Enumeration\u9886\u57df\u4e2d\u7684\u4e00\u4e2a\u95ee\u9898\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c \u8d85\u56fe Hypergraph \u7684\u5ea6\u5e8f\u5217\u662f\u5176\u9876\u70b9\u5ea6\u7684\u975e\u9012\u589e\u5e8f\u5217\u3002\u5982\u679c\u4e00\u4e2a\u5e8f\u5217\u662f -\u4e00\u81f4\u8d85\u56fe&nbsp;k-uniform hypergraph&nbsp;\u7684\u5ea6\u5e8f\u5217\uff0c\u90a3\u4e48\u5b83\u5373\u662f -graphic\u3002\u7279\u522b\u5730\uff0c-graphic\u5e8f\u5217\u662f\u56fe\u5f62\u3002\u51b3\u5b9a\u4e00\u4e2a\u7ed9\u5b9a\u7684\u5e8f\u5217\u662f\u5426\u662f -graphic\u53ef\u4ee5\u5728 &nbsp;\u7684\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u901a\u8fc7 Erd\u0151s\u2013Gallai\u5b9a\u7406 Erd\u0151s\u2013Gallai Theoreme \u5b9e\u73b0\uff0c\u4f46\u662f\u5f53 \u65f6\u8be5\u95ee\u9898\u53ef\u8f6c\u5316\u4e3a NP\u5b8c\u5168\u95ee\u9898\u3002<\/p>\n<p><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>4.&nbsp;\u7279\u6b8a\u503c<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br  \/>\u5ea6\u6570\u4e3a0\u7684\u9876\u70b9\u79f0\u4e3a\u5b64\u7acb\u9876\u70b9 Isolated Vertex<br \/>\u5ea6\u6570\u4e3a1\u7684\u9876\u70b9\u79f0\u4e3a\u53f6\u9876\u70b9\u6216\u5c3e\u9876\u70b9\uff0c\u8be5\u9876\u70b9\u7684\u5165\u5c04\u8fb9\u79f0\u4e3a\u60ac\u6302\u8fb9 Pendant Edge\u3002\u5728\u53f3\u4fa7\u7684\u56fe\u4e2d\uff0c{3,5}\u5c31\u662f\u4e00\u4e2a\u60ac\u6302\u8fb9\u3002\u5728\u56fe\u8bba\u4e2d\uff0c\u8be5\u672f\u8bed\u4e3b\u8981\u5728\u7814\u7a76\u6811 Tree\u65f6\u4f7f\u7528\uff0c\u7279\u522b\u662f\u5177\u6709\u6811\u5f62\u7ed3\u6784\u7684\u6570\u636e\u3002<br \/>\u5728\u6709n\u4e2a\u9876\u70b9\u7684\u56fe\u4e2d\uff0c\u5ea6\u6570\u4e3an-1\u7684\u9876\u70b9\u53eb\u4f5c\u4e3b\u5bfc\u9876\u70b9 Dominating Vertex<\/p>\n<p><img class=\"rich_pages js_insertlocalimg\" data-ratio=\"0.6906666666666667\" data-s=\"300,640\"  data-type=\"png\" data-w=\"375\" style=\"\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-4d0bb4d6890b6c029479833354c27e50.png\"  \/><br \/>\u56fe3\uff1a\u4e00\u4e2a\u5177\u6709\u53f6\u8282\u70b9\u7684\u65e0\u5b9a\u5411\u56fe<\/p>\n<p><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>5.&nbsp;\u5168\u5c40\u6a21\u578b<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/p>\n<p>\u5982\u679c\u4e00\u4e2a\u56fe\u4e2d\u7684\u6240\u6709\u9876\u70b9\u7684\u5ea6\u503c\u90fd\u4e3ak\uff0c\u90a3\u4e48\u8be5\u56fe\u88ab\u79f0\u4e3ak-\u6b63\u5219\u56fe k-regular graph\uff0c\u8be5\u56fe\u7684\u5ea6\u6570\u4e5f\u4e3ak\u3002\u540c\u6837\u7684\uff0c\u540c\u4fa7\u6bcf\u4e24\u4e2a\u9876\u70b9\u90fd\u5177\u6709\u76f8\u540c\u5ea6\u6570\u7684\u4e8c\u5206\u56fe\u53eb\u4f5c\u4e8c\u5206\u6b63\u5219\u56fe Biregular Graph\u3002<br \/>\u5f53\u4e14\u4ec5\u5f53\u4e00\u4e2a\u56fe\u5177\u67090\u62162\u4e2a\u5947\u6570\u5ea6\u7684\u9876\u70b9\u65f6\uff0c\u65e0\u5411\u8fde\u901a\u56fe\u624d\u5177\u6709\u6b27\u62c9\u8def\u5f84 Eulerian Path\u3002\u5982\u679c\u5b83\u5177\u67090\u4e2a\u5947\u6570\u5ea6\u7684\u9876\u70b9\uff0c\u5219\u6b27\u62c9\u8def\u5f84\u4e3a\u6b27\u62c9\u56de\u8def Eulerian Circuit\u3002<br \/>\u5f53\u4e14\u4ec5\u5f53\u6bcf\u4e2a\u9876\u70b9\u7684\u51fa\u6570\u6700\u5927\u503c\u4e3a1\u65f6\u79f0\u8be5\u56fe\u4e3a\u6709\u5411\u56fe\u4f2a\u68ee\u6797 Pseudoforest\u3002\u529f\u80fd\u56fe Functional Graph\u662f\u4f2a\u68ee\u6797\u7684\u7279\u4f8b\uff0c\u5176\u4e2d\u6bcf\u4e2a\u9876\u70b9\u7684\u51fa\u5ea6\u90fd\u6070\u597d\u4e3a1\u3002<br \/>\u6839\u636e\u5e03\u9c81\u514b\u65af\u5b9a\u7406\uff0c\u9664\u56e2\u7c07\u6216\u5947\u6570\u5faa\u73af\u5916\uff0c\u4efb\u4f55\u56fe\u7684\u8272\u6570 chromatic number \u6700\u5927\u4e3a\u0394\uff0c\u800c\u6839\u636e\u7ef4\u8f9b\u5b9a\u7406 Vizing&#8217;s theorem\uff0c\u4efb\u4f55\u56fe\u7684\u8272\u6307\u6570chromatic index \u6700\u5927\u4e3a\u0394+ 1\u3002<br \/>k -\u9000\u5316\u56fe K-Degenerate Graph\u662f\u6307\u56fe\u4e2d\u6bcf\u4e2a\u5b50\u56fe\u90fd\u6709\u4e00\u4e2a\u9876\u70b9\u5ea6\u6570\u4e0d\u5927\u4e8ek\u7684\u56fe\u3002<\/p>\n<p><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>6. \u76f8\u5173\u8d44\u6e90\u63a8\u8350<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><\/p>\n<p>\u8bfe\u7a0b\u63a8\u8350<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u6709\u5e78\u9080\u8bf7\u4e86\u6c6a\u5c0f\u5e06\u3001\u8d75\u6d77\u5174\u3001\u8bb8\u5c0f\u53ef\u3001\u53f2\u5b9a\u534e\u3001\u9648\u6e05\u534e\u3001\u5f20\u6c5f\u3001\u72c4\u589e\u5982\u3001\u9648\u5173\u8363\u3001\u6a0a\u745b\u3001\u5218\u5b97\u534e\u8fd9\u5341\u4e2a\u6765\u81ea\u516d\u5927\u4e0d\u540c\u9ad8\u6821\u3001\u5728\u7f51\u7edc\u79d1\u5b66\u9886\u57df\u8015\u8018\u8bb8\u4e45\u7684\u6559\u6388\u4f5c\u4e3a\u5bfc\u5e08\uff0c\u4f9d\u636e\u6559\u6750\u6846\u67b6\uff0c\u5404\u6709\u4fa7\u91cd\u5730\u4e3a\u6211\u4eec\u5171\u540c\u52fe\u52d2\u51fa\u6574\u4e2a\u5b66\u79d1\u7684\u7f8e\u4e3d\u56fe\u666f\uff0c\u5c55\u793a\u8fd9\u4e2a\u5b66\u79d1\u7684\u8ff7\u4eba\u9b45\u529b\uff0c\u6307\u5f15\u8fd9\u4e2a\u5b66\u79d1\u7684\u707f\u70c2\u672a\u6765\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u6211\u4eec\u5c06\u98a0\u8986\u4f20\u7edf\u8001\u5e08\u901a\u7bc7\u4e3b\u8bb2\u7684\u8bfe\u5802\u6a21\u5f0f\uff0c\u7528\u4e00\u79cd\u524d\u6240\u672a\u6709\u7684\u96c6\u667a\u8bfe\u5802\u5f62\u5f0f\u6765\u89e3\u60d1\u7b54\u7591\uff0c\u5e2e\u52a9\u5927\u5bb6\u5b8c\u6210\u4ece\u6563\u70b9\u601d\u7ef4\u5230\u7f51\u7edc\u601d\u7ef4\uff0c\u76f4\u81f3\u7f51\u7edc\u79d1\u5b66\u601d\u7ef4\u7684\u8dc3\u5347\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><img class=\"rich_pages\" data-cropselx1=\"0\" data-cropselx2=\"560\" data-cropsely1=\"0\" data-cropsely2=\"319\" data-ratio=\"0.38203125\" data-s=\"300,640\" data-type=\"png\" data-w=\"1280\"  style=\"background-color: rgb(238, 237, 235);border-width: 1px;border-style: solid;border-color: rgb(238, 237, 235);background-size: 22px;background-position: center center;background-repeat: no-repeat;box-sizing: border-box !important;overflow-wrap: break-word !important;width: 578px !important;visibility: visible !important;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-1400d389ad229e83d0c48efc7f873c9e.png\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>\u8bfe\u7a0b\u63a8\u8350\uff1a\u5df4\u62c9\u5df4\u897f\u7f51\u7edc\u79d1\u5b66https:\/\/campus.swarma.org\/course\/1754<br  \/>\u79ef\u5206\u5145\u503c\u6d3b\u52a8<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>\u96c6\u667a\u7684\u8bfe\u7a0b\u89c6\u9891\u5173\u6ce8\u590d\u6742\u7cfb\u7edf\u548c\u4eba\u5de5\u667a\u80fd\u7b49\u8de8\u5b66\u79d1\u524d\u6cbf\u9886\u57df\uff0c\u5728\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u3001\u56fe\u795e\u7ecf\u7f51\u7edc\u3001\u7f51\u7edc\u79d1\u5b66\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u3001\u56e0\u679c\u79d1\u5b66\u7b49\u9886\u57df\u6709\u5927\u91cf\u5168\u7f51\u72ec\u5bb6\u5185\u5bb9\u3002<br \/>&nbsp;<br \/>\u6211\u4eec\u7279\u63a8\u51fa\u79ef\u5206\u5145\u503c\u6d3b\u52a8\uff0c\u672c\u6b21\u6d3b\u52a8\u6301\u7eed\u81f32\u670811\u65e5\u3002\u79ef\u5206\u53ef\u4ee5\u7528\u4e8e\u8d2d\u4e70\u96c6\u667a\u5b66\u56ed\u7ad9\u5185\u8bfe\u7a0b\u3001\u53c2\u4e0e\u96c6\u667a\u4ff1\u4e50\u90e8\u8bfb\u4e66\u4f1a\u3002\u73b0\u5728\u5145\u503c\u96c6\u667a\u5b66\u56ed\u79ef\u5206\uff08\u222b\uff09\uff0c\u53ef\u83b7\u8d60\u989d\u5916\u79ef\u5206\u548c\u590d\u6742\u6027\u79d1\u5b66\u77e5\u8bc6\u5361\u7247\u3002<br \/>&nbsp;<br \/><img loading=\"lazy\" data-ratio=\"1\" data-type=\"png\" data-w=\"260\" height=\"auto\" width=\"260\"  style=\"box-sizing: border-box !important;overflow-wrap: break-word !important;width: 147px !important;visibility: visible !important;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-9ad9704c4cd6cbb9ebb8ad980e398f3c.png\"  \/><br \/>\u626b\u7801\u5145\u503c<br \/>&nbsp;<br \/>\u79ef\u5206\u5145\u503c\u89c4\u5219\uff1a\u626b\u63cf\u4e8c\u7ef4\u7801\u5145\u503c 300 \u5143\uff0c\u5f97 33000 \u222b\uff0c\u8d60\u9001 2 \u526f\u9650\u91cf\u7248\u590d\u6742\u6027\u79d1\u5b66\u77e5\u8bc6\u5361\u5145\u503c 500 \u5143\uff0c\u5f97 55000 \u222b\uff0c\u8d60\u9001 4&nbsp;\u526f\u9650\u91cf\u7248\u590d\u6742\u6027\u79d1\u5b66\u77e5\u8bc6\u5361\u5145\u503c 1000 \u5143\uff0c\u5f97 110000 \u222b\uff0c\u8d60\u9001 10&nbsp;\u526f\u9650\u91cf\u7248\u590d\u6742\u6027\u79d1\u5b66\u77e5\u8bc6\u5361<br \/>&nbsp;<br \/><img loading=\"lazy\" data-ratio=\"0.75\" data-type=\"jpeg\" data-w=\"1920\" height=\"auto\" width=\"4000\"  style=\"box-sizing: border-box !important;overflow-wrap: break-word !important;width: 677px !important;visibility: visible !important;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-e3eeeb4994af8992bfdc7bb8a4e6d6c2.jpeg\"  \/><br \/>\u590d\u6742\u6027\u79d1\u5b66\u77e5\u8bc6\u5361\uff08\u6251\u514b\uff092.0\u7248<br \/>&nbsp;<br  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/>7. \u767e\u79d1\u9879\u76ee\u5fd7\u613f\u8005\u62db\u52df<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u4f5c\u4e3a\u96c6\u667a\u767e\u79d1\u9879\u76ee\u56e2\u961f\u7684\u6210\u5458\uff0c\u672c\u6587\u5185\u5bb9\u7531Ryan\u53c2\u4e0e\u8d21\u732e\u3002\u6211\u4eec\u4e5f\u4e3a\u6bcf\u4f4d\u4f5c\u8005\u548c\u5fd7\u613f\u8005\u51c6\u5907\u4e86\u4e13\u5c5e\u7b80\u4ecb\u548c\u4e2a\u4eba\u96c6\u667a\u767e\u79d1\u4e3b\u9875\uff0c\u66f4\u591a\u4fe1\u606f\u53ef\u4ee5\u8bbf\u95ee\u5176\u96c6\u667a\u767e\u79d1\u4e2a\u4eba\u4e3b\u9875\u3002<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><img class=\"rich_pages\" data-cropselx1=\"0\" data-cropselx2=\"457\" data-cropsely1=\"0\" data-cropsely2=\"254\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"900\" style=\"box-sizing: border-box !important;overflow-wrap: break-word !important;visibility: visible !important;width: 457px;height: 254px;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-834aad83339c968936cab5b3450996ec.jpeg\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u4ee5\u4e0a\u5185\u5bb9\u90fd\u662f\u6211\u4eec\u505a\u8fd9\u9879\u76ee\u7684\u8d77\u70b9\uff0c\u4f5c\u4e3a\u6765\u81ea\u4e0d\u540c\u5b66\u79d1\u548c\u9886\u57df\u7684\u5fd7\u613f\u8005\uff0c\u6211\u4eec\u5efa\u7acb\u8d77\u4e00\u4e2a\u6709\u6548\u7684\u767e\u79d1\u56e2\u961f\uff0c\u5206\u914d\u6709\u5ba1\u6821\u3001\u7ffb\u8bd1\u3001\u7f16\u8f91\u3001\u5ba3\u4f20\u7b49\u5de5\u4f5c\u3002\u6211\u4eec\u79c9\u6301\uff1a\u77e5\u8bc6\u4ece\u6211\u800c\u6765\uff0c\u95ee\u9898\u5230\u6211\u4e3a\u6b62\u7684\u4fe1\u5ff5\uff0c\u8ba4\u771f\u8d1f\u8d23\u7f16\u64b0\u6bcf\u4e00\u4e2a\u8bcd\u6761\u3002<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/><img class=\"rich_pages\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\" data-type=\"png\" data-w=\"900\"  style=\"box-sizing: border-box !important;overflow-wrap: break-word !important;visibility: visible !important;width: 677px !important;\" src=\"\/wp-content\/uploads\/2021\/01\/wxsync-2021-01-96a62292ad1641ec07d2bdfec113a955.png\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u5728\u8fd9\u91cc\u4ece\u590d\u6742\u6027\u77e5\u8bc6\u51fa\u53d1\u4e0e\u4f19\u4f34\u540c\u884c\uff0c\u540c\u65f6\u6211\u4eec\u5e0c\u671b\u6709\u66f4\u591a\u5fd7\u613f\u8005\u52a0\u5165\u8fd9\u4e2a\u56e2\u961f\uff0c\u4f7f\u767e\u79d1\u8bcd\u6761\u5185\u5bb9\u5f97\u5230\u6269\u5145\uff0c\u5e76\u4e3a\u6bcf\u4f4d\u5fd7\u613f\u8005\u63d0\u4f9b\u76f8\u5e94\u5956\u52b1\u4e0e\u8d44\u6e90\uff0c\u5efa\u7acb\u4e2a\u4eba\u4e3b\u9875\u4e0e\u8d21\u732e\u8bb0\u5f55\uff0c\u4f7f\u5176\u80fd\u591f\u7ee7\u7eed\u63a2\u7d22\u590d\u6742\u4e16\u754c\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br 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href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247502752&amp;idx=1&amp;sn=4ceaf4f227a4f7065b3cd256a2022552&amp;chksm=e897912ddfe0183b570a12e6b40212e33b76a95c54abe6e10afe7069acb9f6236bd39ccf8cda&amp;scene=21#wechat_redirect\" textvalue=\"\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" rel=\"noopener noreferrer\">\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/a><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\"  \/><br \/>\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u9605\u8bfb\u5ea6\u76f8\u5173\u5185\u5bb9\u4e0e\u6587\u732e                 <\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01\u672c\u6587\u662f\u5bf9\u96c6\u667a\u767e\u79d1\u4e2d\u201c\u5ea6\u201d\u8bcd\u6761\u7684\u6458\u5f55\uff0c\u53c2\u8003\u8d44\u6599\u53ca\u76f8\u5173\u8bcd\u6761\u8bf7\u53c2\u9605\u767e\u79d1\u8bcd\u6761\u539f\u6587\u3002\u672c\u8bcd\u6761\u7531\u96c6\u667a&#8230;<\/p>\n","protected":false},"author":1,"featured_media":23278,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/23286"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23286"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/23286\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/23278"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23286"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=23286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}