图论专题训练

最小生成树 + 并查集

【HDU】1213        How Many Tables         基础并查集★1272        小希的迷宫           基础并查集★1325&&poj1308   Is It A Tree?           基础并查集★1856        More is better          基础并查集★1102        Constructing Roads      基础最小生成树★1232        畅通工程            基础并查集★1233        还是畅通工程          基础最小生成树★1863        畅通工程            基础最小生成树★1875        畅通工程再续          基础最小生成树★1879        继续畅通工程          基础最小生成树★3371        Connect the Cities          简单最小生成树★1301        Jungle Roads            基础最小生成树★1162        Eddy's picture          基础最小生成树★1198        Farm Irrigation         基础并查集★1598        find the most comfortable road  枚举+最小生成树★★1811        Rank of Tetris          并查集+拓扑排序★★3926        Hand in Hand            同构图★3938        Portal              离线+并查集★★2489        Minimal Ratio Tree      dfs枚举组合情况+最小生成树★4081        Qin Shi Huang's National Road System 次小生成树★★4126        Genghis Khan the Conqueror  枚举+最小生成树+DFS(难)★★★★1829&&poj2492   A Bug's Life            基础种类并查集★1558        Segment set         计算几何+并查集★3461        Code Lock           并查集(有点难想到)★★3367        Pseudoforest            最大生成树(伪森林)★2473        Junk-Mail Filter        并查集+设立虚父节点(马甲)★★3172        Virtual Friends         带权并查集★3635        Dragon Balls            带权并查集★3047        Zjnu Stadium            带权并查集★3038        How Many Answers Are Wrong  带权并查集★★2818        Building Block          带权并查集★3234        Exclusive-OR            异或并查集(难)★★★2121        Ice_cream’s world II        最小树形图(要输出根有点恶心)★★4009        Transfer water          最小树形图(模板题)★3311        Dig The Wells           斯坦纳树(状压DP)(模板题)★★4085        Peach Blossom Spring        斯坦纳树(状压DP)(有可能是森林...)★★★2586        How far away ？          LCA★2874        Connections between cities  LCA★3486        Interviewe          RMQ★2888        Check Corners           二维RMQ★3183        A Magic Lamp            RMQ(有点难想到,有点难联系到RMQ)★★【POJ】1258                        最经典的MST★1789        Truck History           最小生成树★1287        Networking          简单★2349        Arctic Network          简单★1611        The Suspects            并查集★2377                        kruskal★2524        Ubiquitous Religions        并查集★2236        Wireless Network        并查集+计算几何★2560                        Kruskal 并查集★1861                        Kruskal ★3625                        prim★1679 -      The Unique MST(基础)          判断MST是否唯一★3522 -      Slim Span(基础)       求一颗生成树，让最大边最小边差值最小★2485        Highways            MST中的最长边★2395                        最小生成树的最长边★1751        Highways            求出方案★POJ-1182    食物链                 种类并查集★★POJ 1456    Supermarket         贪心+区间合并★POJ-1703                    种类并查集★POJ-1988                    种类并查集★POJ-1733    Parity game             种类并查集，先要离散化一下，不影响结果★POJ-1417    True Liars(难)           并查集+DP 种类并查集★★POJ-2912    Rochambeau(难)           baidu的题,很不错...是食物链的加强版.判断裁判比较难想.★★★POJ 2728    Desert King(中等)         最优比率生成树★★POJ 1639    Picnic Planning(较难)         顶点度数有限制的最小生成树★★POJ 3164    Command Network(难)      最小树形图★★poj3723                     好题!!! ★★poj3228                     好好题!!! ★★【ZOJ】ZOJ-3261 逆向并查集 ★★
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最短路

【HDU】1548        A strange lift          基础最短路(或bfs)★2544        最短路             基础最短路★3790        最短路径问题          基础最短路★2066         一个人的旅行         基础最短路(多源多汇,可以建立超级源点和终点)★2112        HDU Today           基础最短路★1874        畅通工程续           基础最短路★1217        Arbitrage               货币交换 Floyd (或者 Bellman-Ford 判环)★1245        Saving James Bond       计算几何+最短路★1317        XYZZY               Bellman-Ford判环,有负权★1535        Invitation Cards        有向图的来回最短路,(反向建图)★1546        Idiomatic Phrases Game      最短路★2680        Choose the best route       最短路★2923        Einbahnstrasse          最短路★3339        In Action           最短路+背包★2224        The shortest path       双调旅行商问题★★2807        The Shortest Path       矩阵运算+最短路(floyd)★★1595        find the longest of the shortest枚举+最短路(删掉任意一条边的最长最短路)★★3986        Harry Potter and the Final Battle 枚举+最短路(删掉任意一条边的最长最短路)★★1599        find the mincost route      floyd求最小环★1839        Delay Constrained...        二分下限+最短路(带限制最短路)★★  3631        Shortest Path                   Floyd插点法★★4114        Disney's FastPass       最短路+二维状压DP(难)★★★3832        Earth Hour          三点连通(斯坦纳树)★3873        Invade the Mars         Dij变体(好题!,带限制最短路)★★★4063        Aircraft            几何构图+最短路★★★★4179        Difficult Routes        带限制最短路★★1869        六度分离            Floyd最短路★1385        Minimum Transport Cost      最短路+输出路径(输出字典序最小路径,有点恶心)★★  1224        free DIY Tour           最短路+输出路径★1142        A Walk Through the Forest   最短路+记忆搜索★★1596        find the safest road        乘积最小的最短路★1598        find the most comfortable road  二分速度差+最短路(带限制最短路)★★2722        Here We Go(relians) Again   最短路★2962        Trucking            二分+最短路(带限制最短路)★★1690        Bus System          最短路★2433        Travel              删边+最短路之和(预处理桥边)★★★          2363        Cycling             二分+最短路(带限制最短路)★★2377        Bus Pass            最短路(寻找一个点的最长最短路最小)★★2833        WuKong              最短路+记忆化搜索(求两条最短路的最多公共点)★★1688        Sightseeing         最短次短路条数★★3191        How Many Paths Are There    次短路条数★★2482        Transit search          最短路★★★3768        Shopping            最短路+dfs(或最短路+状压DP)★★3035        War             平面图最小割(建图麻烦)★★3870        Catch the Theves        平面图最小割(建图麻烦)★★3860        Circuit Board           平面图最小割(建图麻烦)★★★【POJ】1062        昂贵的聘礼           竟然可以和最短路联系起来★★1094        Sorting It All Out      Floyd判环+拓扑排序★1125        Stockbroker Grapevine       Floyd★1135        Domino Effect           最短路,比较有意思★★1161        Walls               最短路(图太恶心了)★★1502        MPI Maelstrom           Floyd★1511        Invitation Cards        来回最短路★1556        The Doors           计算几何+最短路★★1724        ROADS               带限制的最短路,dis[][]开二维来记录信息(或广搜)★★1734        Sightseeing trip        floyd最小环路径★1797        Heavy Transportation        二分枚举+最短路★1847        Tram                简单最短路★1860        Currency Exchange       货币兑换★1949        Chores              反向建边,求最长路★★2139        Six Degrees of Cowvin Bacon Floyd★2240        Arbitrage           货币兑换★2253        Frogger             二分+最短路★2312        坦克大战            spfa最短路本质变形-->广搜★2387        Til the Cows Come Home      基础最短路★2394        Checking an Alibi       最短路★2449        Remmarguts' Date        A*求第K短路★★2457        Part Acquisition        最短路 (输出路径)★★2472        106 miles to Chicago        乘积最短路(log一下,乘变加)★★2502        Subway2570        Fiber Network floyd3013        圣诞树3037        Skiing3072        Robot3114        Countries in War        强联通+最短路3160        Father Christmas flymouse   强联通+最长路3255        Roadblock3259        Wormholes           （寻找负权回路）3268        Silver Cow Part3311        Hie with the Pie        floyd+状压3328        Cliff Climbing3439        Server Relocation3463        Sightseeing             次短路条数3159    3521        Geometric Map           计算几何+最短路3549        GSM phone           计算几何+最短路3594        Escort of Dr. Who How3613        Cow Relays              经过N条边的最短路 // floyd + 二分矩阵3615        Cow Hurdles3621        最优比率环3635        full tank?3660        传递闭包3662        Telephone Lines
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差分约束

【HDU】1384        Intervals1529        Cashier Employment1531        King1534        Schedule Problem3440        House Man3592        World Exhibition3666        THE MATRIX PROBLEM【POJ】120112751364171629492983315931693687
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二分匹配

普通匹配,多重匹配【HDU】1068        Girls and Boys1150        Machine Schedule1151        Air Raid1179        Ollivanders: Makers of Fine Wands since 382 BC.1281        棋盘游戏1498        50 years, 50 colors1507        Uncle Tom's Inherited Land*1528        Card Game Cheater1845        Jimmy’s Assignment2063        过山车2119        Matrix2444        The Accomodation of Students2768        Cat vs. Dog3081        Marriage Match II3360        National Treasures1045        也可搜索1350        最小路径覆盖3118        类似二分匹配3729238910542819        完全匹配1668        二分+多重匹配3605        多重匹配3861        强连通+二分匹配2236        无题IIhdu3468hdu4185 奇偶匹配【POJ】1087        A Plug for UNIX1274        The Perfect Stall1469        COURSES1486        Sorting Slides          二分图的必须边1548        Robots1698        Alice's Chance1719        Shooting Contest1904        King's Quest            求二分图所有可能的匹配边2060        Taxi Cab Scheme         最小路径覆盖2112        Optimal Milking         二分+多重匹配2226        Muddy Fields            行列的覆盖2239        Selecting Courses2289        Jamie's Contact Groups       二分+多重匹配2446        Chessboard2536        Gopher II2584        T-Shirt Gumbo2594        Treasure Exploration        可相交最小路径覆盖2672        Hotkeys2724        Purifying Machine3020        Antenna Placement3041        Asteroids           简单行列匹配 3189        Steady Cow Assignment       二分+多重匹配3207        Ikki's Story IV - Panda's Trick3216        Repairing Company3343        Against Mammoths3692        Kindergarten2771                        最大独立集
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KM算法

【HDU】2255        奔小康赚大钱1533        Going Home1853        Cyclic Tour3488        Tour3435        A new Graph Game2426        Interesting Housing Problem2853        Assignment3718        Similarity3722        Card Game3395        Special Fish2282        Chocolate2813        One fihgt one2448        Mining Station on the Sea3315        My Brute3523        Image copy detection【POJ】2195        Going Home          最小权值匹配2400        Supervisor, Supervisee      输出所有最小权匹配2516        Minimum Cost            最小权值匹配或最小费用流3565        Ants3686        The Windy's             最小权值匹配
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最大团 & 婚姻稳定

【HDU】1530        Maximum Clique1435        Stable Match3585        maximum shortest distance   二分+最大团1522        Marriage is Stable1914        The Stable Marriage Problem【POJ】1129        四色定理 着色问题1419        最大独立集2989        极大团3487        The Stable Marriage Problem 稳定婚姻
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强双联通

【HDU】强连通:1269        迷宫城堡            判断是否是一个强连通2767        Proving Equivalences        至少加几条边让整个图变成强连通3836        Equivalent Sets         至少加几条边让整个图变成强连通1827        Summer Holiday          传递的最小费用3072        Intelligence System         传递的最小费用3861        The King’s Problem      强连通+二分匹配3639        Hawk-and-Chicken        强连通缩点 + 树形dp（累加子节点的总权值）3594        Cactus              仙人掌图双连通:2242        考研路茫茫——空调教室     双联通缩点+树形DP2460        Network              边双连通3849        By Recognizing These Guys, We Find Social Networks Useful  双连通求桥3896        Greatest TC             双连通4005        The war             边双连通LCA:2586        How far away ？2874        Connections between cities3078        Network             LCA+排序3830        Checkers            二分+LCA【POJ】强连通:1236        Network of Schools2553        The Bottom of a Graph       好题！ 找出度为0的集合2186        Popular Cows            好题！ 找出度为0的，其他分量都指向它的集合2375        Cow Ski Area            强连通2762        Going from u to v or from v to u?  缩点+拓扑排序3160        Father Christmas flymouse   强连通+最短路3180        The Cow Prom            判断有几个环， 分量中元素大于1的个数3114        Countries in War        强连通+最短路3592        Instantaneous Transference      强连通分量+最长路1904        King's Quest            强连通+并查集 双连通：3694        Network             边双连通 (同hdu2460)3177        Redundant Paths         构造边双连通3352        Road Construction           构造边双连通2942        Knights of the Round Table   (点双连通经典题)1515        Street Directions       (无向图改有向图)1438        One-way Traffic         (混合图改有向图)LCA:1330        Nearest Common Ancestors1470        Closest Common Ancestors1986        Distance Queries3417        Network3728        The merchant            LCA+并查集,更新询问2763        Housewife Wind          LCA+树状数组
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2-SAT

【HDU】3062        Party1824        Let's go home3622        Bomb Game3715        Go Deeper1815        Building roads2723        Get Luffy Out1816        Get Luffy Out *1814        Peaceful Commission4115        Eliminate the Conflict【POJ】2296        Map Labeler2723        Get Luffy Out2749        Building roads3207        Ikki's Story IV - Panda's Trick3648        Wedding3678        Katu Puzzle3683        Priest John's Busiest Day3905        Perfect Election
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欧拉回路

【HDU】1878        欧拉回路  判断3018        Ant Trip 一笔画问题11162894        兹鼓欧拉回路19563472        混合欧拉【POJ】2513                        欧拉路1041        John's trip             欧拉回路1386        Play on Words           单词接龙2230        Watchcow            欧拉回路2513        Colored Sticks          无向图欧拉路2337        Catenyms            欧拉路径1392        Ouroboros Snake         兹鼓欧拉回路1780        code1637                        混合欧拉【ZOJ】1992
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拓扑排序

【HDU】   1285        确定比赛名次2094        产生冠军2647        Reward3342        Legal or Not1811        Rank of Tetris          拓扑+并查集3231                        三维拓扑【POJ】1094        Sorting It All Out          Floyd+拓扑2367        Genealogical tree3660        Cow Contest3687        Labeling Balls          神奇的拓扑1128        Frame Stacking          DFS版拓扑1270        Following Orders        拓扑+回溯1420        Spreadsheet             模拟拓扑2762        Going from u to v or from v to u?  强连通+拓扑3553        Task schedule
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竞赛图

竞赛图下的哈密顿问题Strange Country II  ZOJ-3332Task Sequences  POJ-1776The book    SGU-122Tour Route  POJ-3780Tour Route  HDOJ-3414
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网络流

【HDU】1532        Drainage Ditches(基础)        [最大流]3549        Flow Problem(基础)        [最大流]3572        Task Schedule           [最大流]任务分配,判断满流  2732        Leapin' Lizards(难)      [最大流]3338        Kakuro Extension        [最大流][数和]神奇最大流行进列出2883        kebab               [最大流]判断满流3605        Escape              [最大流](多重匹配3081        Marriage Match II       [二分最大流]+并查集3277        Marriage Match III      [二分最大流]同上,多了拆点3416        Marriage Match IV       [最大流]最短路+最大流2485        Destroying the bus stations [最大流]最短路+最大流3468        Treasure Hunting        [最大流](二分匹配)+最短路3551        Hard Problem            [最大流]3998        Sequence(难)         [DP+最大流]最长上升子序列3917        Road constructions      [最大权闭包]3879        Base Station            [最大权闭包]3061        Battle              [最大权闭包]3996        Gold Mine           [最大权闭包]3472        HS BDC              [混合欧拉]4183    来回走不重复点的网络流.1533        Going Home(基础)      [费用流]3488        Tour                [费用流]圈3435        A new Graph Game        [费用流]圈1853        Cyclic Tour         [费用流]圈2686        Matrix              [费用流]3376        Matrix Again            [费用流]3667        Transportation          [费用流]拆边3315        My Brute            [费用流](可用KM)3395        Special Fish            [费用流](可用KM匹配)2448        Mining Station on the Sea   [费用流](可用最短路+KM匹配)4067        Random Maze(难)          [费用流]3947        River Problem(难)        [费用流]神奇费用流,流量不等式建图3046        Pleasant sheep and big big wolf [最小割]1565        方格取数(1)         [最小割]1569        方格取数(2)         [最小割]3820        Golden Eggs         [最小割]方格加强3491        Thieves             [最小割]最小点割集3657        Game                [最小割]最大点权独立集3313        Key Vertex          [最小割]3251        Being a Hero            [最小割]   3157        Crazy Circuits          [上下流]3002        King of Destruction     [全局最小割]3691        Nubulsa Expo            [全局最小割]【POJ】1087        A Plug for UNIX         [最大流](可用二分匹配)1274        The Perfect Stall       [最大流](可用二分匹配)1325        Machine Schedule        [最大流](可用二分匹配)1698        Alice's Chance          [最大流](可用二分匹配)2239        Selecting Courses       [最大流](可用二分匹配)2446        Chessboard          [最大流](可用二分匹配) 好题啊2536        Gopher II           [最大流](可用二分匹配)2771        Guardian of Decency     [最大流]二分匹配最大独立集3041        Asteroids           [最大流](简单二分匹配)2584        T-Shirt Gumbo           [最大流](多重匹配)3189        Steady Cow Assignment(中等)   [二分最大流](多重匹配)1149        PIGS                [最大流] 绝对经典的构图题1273        Drainage Ditches        [最大流](基础)1459        Power Network(基础)       [最大流]3281        Dining              [最大流]2112        Optimal Milking(基础)         [二分最大流]2289        Jamie's Contact Groups      [二分最大流]2391        Ombrophobic Bovines(中等)     [二分最大流]2455        Secret Milking Machine(基础)  [二分最大流]3228        Gold Transportation         [二分最大流](并查集)2699        The Maximum Number of Strong Kings(较难)  [枚举人数 + 最大流]3498        March of the Penguins(中等)   [最大流]枚举汇点,满足点容量限制的网络流2987        Firing(较难)              [最大权闭包]1637        Sightseeing tour(Crazy)     [混合欧拉]2135        Farm Tour           [费用流] (来回最短路)2175        Evacuation Plan(中等)         [费用流] 消圈2195        Going Home          [费用流]2516        Minimum Cost            [费用流]3422        Kaka's Matrix Travels(中等)   [费用流]拆点3680        Intervals(较难)       [费用流]经典,费用流+离散化3686        The Windy's         [费用流](KM匹配)3762        The Bonus Salary!       [费用流]1815        Friendship(中等)          [最小割]最小点割集1966        Cable TV Network(中等)    [最小割]最小点割集2125        Destroying The Graph(难)     [最小割]最小点权覆盖3084        Panic Room(中等，好题)   [最小割]边连通度3204        Ikki's Story I - Road Reconstruction(基础) [最小割]求关键边3308        Paratroopers(较难)        [最小割]乘积取对数,最小点权覆盖3436        ACM Computer Factory        [最小割]收集流,残留搜集找边3469        Dual Core CPU(中等)       [最小割]收集流3921        Destroying the bus stations [最小割]点连通2396        Budget(中等)              [有源汇的上下界可行流]3155        Hard Life(很挑战一题)        [最大密度子图]2914        Minimum Cut         [无向图最小割]
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Dancing Links

1001        Easy Finding            POJ-37401002        Power Stations          HDOJ-36631003        Treasure Map            ZOJ-32091004        Lamp                HDOJ-28281005        whosyourdaddy           HDOJ-34981006        Bomberman - Just Search!    HDOJ-35291007        Square Destroyer        POJ-10841008        Matrix              HDOJ-21191009        Divisibility            HDOJ-33351010        Radar               HDOJ-22951011        Fire station            HDOJ-36561012        Repair Depots           HDOJ-31561013        Dominoes            HDOJ-25181014        Street Fighter          HDOJ-39571015        Sudoku Killer           HDOJ-14261016        Sudoku              POJ-26761017        Sudoku              POJ-30741018        Sudoku              POJ-30761019        Su-Su-Sudoku            HDOJ-27801020        Sudoku              HDOJ-31111021        Sudoku              HDOJ-39091022        Squiggly Sudoku         HDOJ-40691023        Triangle War II         ZOJ-30381024        A Puzzling Problem      HDOJ-16031025        Maximum Clique          HDOJ-1530hust1017                        精确覆盖。fzu1686,nuaa1507                重复覆盖。hit2199,2882,2959               精确覆盖(数独)。SPOJ1771                    精确覆盖(N皇后问题)。poj3435