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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁＋銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛炴搳鈥�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛炴搳鈥�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
绂� 宸� 澶� 瀛�(xu茅)
2017 骞村崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│灏堟キ(y猫)瑾茶绋嬶紙鑰冭│锛夊ぇ缍�
涓€銆佽€冭│绉戠洰鍚嶇ū: 绠楁硶瑷�(sh猫)瑷堣垏鍒嗘瀽
浜�銆佹嫑鐢熷(xu茅)闄㈠拰灏堟キ(y猫)锛氭暩(sh霉)瀛�(xu茅)鑸囪▓绠楁绉戝(xu茅)瀛�(xu茅)闄�
鍩烘湰鍏�(n猫i)瀹�:
绗竴閮ㄥ垎 鑰冭│瑾槑
涓€銆� 鑰冭│鎬ц唱(zh矛)
銆婄畻娉曡ō(sh猫)瑷堣垏鍒嗘瀽銆嬩綔鐐虹宸炲ぇ瀛�(xu茅)瑷堢畻姗熺瀛�(xu茅)鑸囨妧琛�(sh霉)鍙婄浉闂�(gu膩n)灏堟キ(y猫)鍗氬＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│绉戠洰涔�
涓€锛屼互楂樼瓑闄㈡牎瑷堢畻姗熷皥妤�(y猫)纰╁＋鏁欏(xu茅)鐨勮純楂樺堡娆＄偤鍩烘簴(zh菙n)锛岃姹傝€冪敓鎺屾彙绠楁硶瑷�(sh猫)瑷堢殑甯哥敤鏂规硶锛�
鍏峰倷绠楁硶瑷�(sh猫)瑷堣垏寰�(f霉)闆滄€у垎鏋愮殑绱犺唱(zh矛)鍜岃兘鍔�锛岀偤鑰冪敓鍚庣簩(x霉)鑳藉鐛ㄧ珛閫茶绠楁硶鐨勮ō(sh猫)瑷堝拰瑷堢畻寰�(f霉)闆滄€�
鐨勫垎鏋愬瀹氭瘮杓冨爡瀵︾殑鍩虹(ch菙)銆傝┎鑰冭│鐩殑鍦ㄤ簬鑰冨療鑰冪敓鐨勫皥妤�(y猫)缍滃悎绱犺唱(zh矛)鍜屽晱椤屾眰瑙ｈ兘鍔�锛屼究浜�
鍎�(y艒u)绉€浜烘墠鐨勯伕鎷�銆傝€冭│灏嶈薄鐐哄弮鍔犲崥澹敓鍏ュ(xu茅)鑰冭│鐨勬噳(y墨ng)灞嗘垨闈炴噳(y墨ng)灞嗙ⅸ澹暍妤�(y猫)鐢�锛屼互鍙婂叿鏈夊悓绛�
瀛�(xu茅)姝风殑鍦ㄨ伔浜哄摗銆�
浜�銆� 鑰冩牳鐩(bi膩o)
1.鎺屾彙绠楁硶鐨勫熀鏈蹇靛拰鍒嗘瀽绠楁硶鐨勫熀鏈柟娉�;
2.鎺屾彙鍒嗘不銆佸嫊鎱�(t脿i)瑕�(gu墨)鍔冦€佽勃蹇冪畻娉�銆佸垎鏀檺鐣屾硶銆佸湒鐨勯亶姝�銆侀毃姗熺畻娉�銆佽繎浼肩畻娉�銆丯P 瀹�
鍏ㄦ€у晱椤岀殑鍩烘湰鍘熺悊;
3.鐔熺反鎺屾彙姹傝В鍏稿瀷鍟忛鐨勭畻娉曡ō(sh猫)瑷堟€濇兂鍜屽鐝�(xi脿n)鏂规硶锛岃兘澶犳湁鏁堥亱鐢紝浠ヨ兘楂樻晥瑙ｆ焙鏂扮殑
鍟忛;
4.鍏锋湁杓冨挤鐨勭畻娉曡ō(sh猫)瑷堝拰鍒嗘瀽鑳藉姏锛屽叿鍌欒ō(sh猫)瑷堝嚭瑙ｆ焙瀵﹂殯鎳�(y墨ng)鐢ㄨ垏绉戝(xu茅)鐮旂┒鍟忛鐨勬湁鏁堢畻娉�;
5.浜嗚В绠楁硶鐮旂┒闋�(l菒ng)鍩熺殑鐝�(xi脿n)鐙€鑸囩櫦(f膩)灞�銆�
涓�銆� 瑭﹀嵎绲�(ji茅)妲�(g貌u)
鑰冭│浠ラ枆鍗风瓎瑭﹀舰寮忛€茶锛岄鍨嬪寘鎷～绌洪銆侀伕鎿囬銆佹敼閷銆佺啊绛旈銆佽▓绠楅銆佽瓑鏄庨銆�
绠楁硶瑷�(sh猫)瑷堢稖鍚堟噳(y墨ng)鐢ㄩ銆傛瘡骞磋€冭│灏囧緸涓婅堪椤屽瀷涓娊鍙栬嫢骞茬ó锛堜竴鑸偤 5 绋乏鍙筹級锛岄噸榛炶€冨療鑰冪敓
鐨勫熀绀�(ch菙)鐭ヨ瓨銆佸垎鏋愯兘鍔�銆佽ō(sh猫)瑷堝強瀵﹂殯鍟忛姹傝В鑳藉姏绛�銆�
绗簩閮ㄥ垎 鑰冨療鐭ヨ瓨鑼冨湇
1.绠楁硶瑷�(sh猫)瑷堣垏鍒嗘瀽鐨勫熀鏈蹇�
绠楁硶鐨勫熀鏈畾缇┿€佸熀鏈€ц唱(zh矛)锛岀畻娉曡ō(sh猫)瑷堝拰绠楁硶寰�(f霉)闆滃害鍒嗘瀽鐨勫熀鏈妧琛�(sh霉)鍜屾柟娉曪紝瑷堢畻鏅傞枔鐨�
婕搁€茶〃绀哄強鍏剁浉闂�(gu膩n)鎬ц唱(zh矛)銆�
2.閬炴绠楁硶瑷�(sh猫)瑷堟妧琛�(sh霉)
閬炴绠楁硶鐨勭壒榛炲拰瀵︾従(xi脿n)姗熷埗锛岃ō(sh猫)瑷堝拰鍒嗘瀽閬炴绠楁硶鐨勪竴鑸柟娉�锛屾秷鍘婚仦姝�;閬炴闂�(gu膩n)绯诲紡鐨勮▓
绠�锛屾暩(sh霉)瀛�(xu茅)姝哥磵娉曘€佷富鏂规硶绛夊熀鏈柟娉曠殑閬嬬敤銆�
3.鍒嗘不鏂规硶
鍒嗘不鏂规硶鐨勫熀鏈師鐞嗭紝鍏稿瀷鍟忛濡備簩鍒嗘绱�銆佸悎骞舵帓搴�銆佸揩閫熸帓搴�銆佺窔鎬ч伕鎿囧晱椤�銆丼trassen
鐭╅櫍涔樻硶銆佹渶杩戦粸灏�銆佸惊鐠�(hu谩n)璩芥棩绋嬭〃绛夊晱椤岀殑绠楁硶瑷�(sh猫)瑷堝師鐞�銆佸鐝�(xi脿n)鎶€琛�(sh霉)鍙婂叾鎳�(y墨ng)鐢ㄣ€�
4.鍕曟厠(t脿i)瑕�(gu墨)鍔冩柟娉�
鍕曟厠(t脿i)瑕�(gu墨)鍔冪殑鍩烘湰鍘熺悊鍜屾柟娉�;浣跨敤鍕曟厠(t脿i)瑕�(gu墨)鍔冩柟娉曡ō(sh猫)瑷堟眰瑙ｇ畻娉曠殑閬╃敤鍟忛鐨勭壒榛炲拰鍩烘湰姝�
椹�;鏈€鍎�(y艒u)鎬у師鐞�銆佺劇鍚庢晥鎬�銆佺媭鎱�(t脿i)杞�(zhu菐n)绉绘柟绋�;鍏稿瀷鍟忛濡� 0/1 鑳屽寘銆佹瘡灏嶇瘈(ji茅)榛炰箣闁撶殑鏈€鐭矾寰�銆�
鏈€鍎�(y艒u)浜屽垎妾㈢储妯�銆佹渶闀峰叕鍏卞瓙搴忓垪銆佺煩闄ｉ張涔樸€佽閰嶇窔瑾�(di脿o)搴︾瓑鍟忛鐨勭畻娉曡ō(sh猫)瑷堝師鐞�銆佸鐝�(xi脿n)鎶€琛�(sh霉)
鍙婂叾鎳�(y墨ng)鐢�;鍕曟厠(t脿i)瑕�(gu墨)鍔冩柟娉曠殑璁婄ó锛氬倷蹇橀寗鏂规硶銆�
5. 璨┆鏂规硶
璨┆鏂规硶鐨勫熀鏈師鐞嗗拰鎬ц唱(zh矛)銆佹渶鍎�(y艒u)瀛愮祼(ji茅)妲�(g貌u)鎬�锛岃勃濠В鐨勬渶鍎�(y艒u)鎬ц瓑鏄�;鍏稿瀷鍟忛濡傝儗鍖呭晱椤屻€�
娲诲嫊閬告搰鍟忛銆丠affman 绶ㄧ⒓銆佹渶灏忕敓鎴愭ü銆佸柈婧愰粸鏈€鐭矾寰戠瓑鐨勭畻娉曡ō(sh猫)瑷堝師鐞嗐€佸鐝�(xi脿n)鎶€琛�(sh霉)鍙�
鍏舵噳(y墨ng)鐢�銆�
6. 鍦栫殑绠楁硶瑷�(sh猫)瑷�
鍦栫殑鍩烘湰瀹氱京鑸囪〃绀哄拰鍦栫殑鍩烘湰绠楁硶;寤ｅ害鍎�(y艒u)鍏堟悳绱�銆佹繁搴﹀劒(y艒u)鍏堟悳绱€€佹嫇?f霉)娓戝垽?銆佹渶灏忕敓?br/>妯圭畻娉�(Kruskal 绠楁硶鍜� Prim 绠楁硶)銆佹渶鐭矾寰戝晱椤岀殑绠楁硶(Bellman-Ford 绠楁硶銆丏ijkstra 绠楁硶銆�
Floyd 绠楁硶)銆佹渶澶ф祦鍟忛鐨勭畻娉�(Ford-Fulkerson 绠楁硶);鐩搁棞(gu膩n)绠楁硶鐨勬噳(y墨ng)鐢�銆�
7.姒傜巼绠楁硶鍜岃繎浼肩畻娉�
姒傜巼鍒嗘瀽銆侀毃姗熺畻娉�銆佽繎浼肩畻娉曠殑鍘熺悊鍜屾柟娉�;闂�(gu膩n)浜庡吀鍨嬪晱椤屽闋傞粸瑕嗚搵銆佹梾琛屽晢鍟忛銆侀泦
鍚堣钃�銆佸瓙闆嗗拰绛夊晱椤岀殑杩戜技绠楁硶瑷庤珫銆�
8.NP 瀹屽叏鐞嗚珫
NP 瀹屽叏鎬х殑姒傚康銆佸彲姝哥磩鎬�銆丯P 瀹屽叏鎬ц瓑鏄�;浜嗚В鍏稿瀷 NP 瀹屽叏鍟忛濡傚搱瀵嗛爴鍥炶矾鍟忛銆佹梾
琛屽晢鍟忛銆佸瓙闆嗗拰鍟忛銆侀爞榛炶钃嬪晱椤岀瓑銆�
鍙冭€冩浉鐩� (鍖呮嫭浣滆€呫€佹浉鐩�銆佸嚭鐗堢ぞ銆佸嚭鐗堟檪闁�銆佺増娆�)锛�
[1] 绠楁硶灏�(d菐o)璜朳M], Thomas H Cormen, Chzrles E Leiseron, Ronald L Rivest, etc锛岀浜岀増锛�
姗熸宸ユキ(y猫)鍑虹増绀撅紝2006.
绶ㄥ埗浜虹敖鍚嶏細 鍗氬＋榛炶矤(f霉)璨�(z茅)浜虹敖鍚嶏細 闄㈤暦瀵╂牳绨藉悕锛�
骞� 鏈� 鏃�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€呭€嬩汉瑙€榛�锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊锛屽皪鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€с€佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
