negative, create the vertex-> T capacity is the opposite number of edges of the weights5. Find a minimum cut.Minimum vertex weight overwrite set in a bipartite graph:Point Coverage: all edges have at least one vertex in this set.Minimum Point Weight overwrite set: Weight Value and minimum point Overwrite1. Add Source Vertex S and sink vertex t2. Change the size of all existing edges to INF.3. S-> U creates an edge with a capacity of the corresponding vertex weight.4. V-> T creates an edge with
desired instrument with an infinity edge.The problem is transformed into a model of the problem of the maximal right closed sub graph, which is then transformed into a minimal cut problem ①Minimum cut equals maximum flow, so use network flow to solveThe instruments and experiments needed are the points in the S set of the smallest cut, that is, the set of vertices that are finally accessible from S.The lea
connections is bi-directional, i.e. data can be transmitted in both directions along a connection, but the sum of the Amount of data transmitted in both directions must is less than the bandwidth.OutputFor each case of input, print the case number and the total bandwidth between the source node s and the Destinati On node T.
Sample Input
Output for Sample Input
241 4 51 2 201 3 102 3 52 4 103 4 2041 4 21 4 201 4 20
Case 1:25Case 2:40
Note: Thi
[NOI2007] Social networks★ Import File: network1.in output file: network1.out Simple comparisonTime limit: 1 s memory limit: MB"Problem description"In the study of social networks (social network), we often use the concept of graph theory to explain some social phenomena. Let's look at a question like this. There are n individuals in a social circle, and there are different levels of relationships between
, ask this k minimum is moreLess?Multiple matches of a one-to-many binary graph. The implementation of the multi-matching algorithm of the binary graph is similar to the Hungarian algorithm, for the element XI in the set X, to find an element that is connected to Yi, check whether the two conditions of the Hungarian algorithm are established, if Yi is not matched, it willXi,yi matches. Otherwise, if the ele
meaning: ax=0 means that when the node potential value, the potential difference between all nodes is 0. Very clearly. When all the nodal potentials are clearly established, namely:We will show the current of each side of the graph in B, then there is the equation ax=b. A indicates the relationship between the circuit nodes, X represents the potential of each point, and B represents the current on each side.this way. We mathematically set a physical
D. There is a one-way network between schools, and each school receives a set of software that can be transmitted through a one-way network to the surrounding schools,Question 1: Initially, at least how many schools need to be distributed software, so that all schools in the network will eventually get the software.Question 2: At least a few transmission lines (e
them.InputThe input file consists of several blocks of lines. Each block describes one network. The first line of each block there is the number of places N N lines contains the number of a place followed by the numbers of some places to which t Here are a direct line from the this place. These at the very N lines completely describe the network, i.e., each direct connection of both places in the
.
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Description there are n children in kindergarten who plan to vote to decide whether to take a nap. For them, this issue is not very important, so they decided to carry forward the spirit of humility. Although everyone has their own opinions, in order to take care of the ideas of their friends, they can also vote for the opposite of their own intentions. We define the number of conflicts in a vote as the total number of conflicts between good friends plus the number of people who
lines. Each block describes one network. The first line of each block there is the number of places N by one space. Each block ends with a line containing just 0. The last block had only one line with N = 0;OutputThe output contains for each block except the last in the input file one line containing the number of critical places.Sample Input55 1 2) 3 4062 1 35 4 6 200Sample Output12HintYou need to determine the end of one line. In order to make it's
initial network.The next line contains a single integerQ(1≤Q≤1,000), which is the number of the new links the administrator plans to add to the network one by one.TheI-th Line of the followingQLines contains-integerAandB(1≤A≠B≤N), which is theI-th added new link connecting computerAandB.The last test was followed by a line containing the zeros.OutputFor each test case, print a line containing the test case number (beginning with 1) and Q lines, the i
loopExercisesEuler Circuit of network flow judgment mixed RoadThe key is to turn the graph into a map and then judgeIt is easy to know if it is the Euler loop, then all points of the in, equal to out of the degree outNo forward Edge (U,V), a forward edge (u,v), or a forward edge (V,u), in[i]-out[i] can be found unchangedThen we can assume that the non-u,v (u,v) becomes the forward edgeStatistics of all poi
Test instructions: Multiple sets of data, and the last 0/1 indicates 0 non-direction 1.Ask if there is a Euro-pull loop.Solving the puzzle : giving it any direction without a direction . First, the point-in degree of the Euler loop = the degree of exit.And then found that each non-directional side if the change direction, the original entry point of +1, out of 1, out of the point.Then we might as well be different in degrees and out of the point with the Yuanhui in one of the edges, the capacity
integer Q (1≤q≤1,000), which are the number of new links the administrator plans to ad D to the network one by one.The i-th line of the following Q lines contains both integer A and B (1≤a≠b≤n), which is the i-th added new link conn Ecting computer A and B.The last test was followed by a line containing the zeros.OutputFor each test case, print a line containing the test case number (beginning with 1) and Q lines, the i-th of which contain S a intege
. The first line of each block there is the number of placesN N lines contains the number of a place followed by the numbers of some places to which t Here are a direct line from the this place. These at the veryN lines completely describe the network, i.e., each direct connection of both places in the network I s contained at least in one row. All numbers on one line is separated by one space. Each block e
; Bque.push (TEM); Vis[s]=1; while(!Bque.empty ()) {tem=Bque.front (); Bque.pop (); Mark (Tem.npoi,1);//according to the original image of the edge mark cannot go inttmp=LEN,TMP2; while(tmp--) {TMP2=nque.front ();//these points are not coming.Nque.pop (); if(!VIS[TMP2]) {Len--; Hh.step=tem.step+1; Hh.npoi=TMP2; Bque.push (HH); ANS[TMP2]=Hh.step; } ElseNque.push (TMP2); if(!len)return; } Mark (Tem.npoi,0); } return;}intMain () {intt,n,m; intu,v,s; s
].f>0) - { A inty=t[i].y; + if(dis[y]==dis[x]+1) the { - intA=ffind (Y,mymin (flow-now,t[i].f)); $t[i].f-=A; thet[t[i].o].f+=A; thenow+=A; the } the if(Now==flow) Break; - } in if(now==0) dis[x]=-1; the returnNow ; the } About the voidoutput () the { the for(intI=1; i2) +printf"%d->%d%d\n", T[I].X,T[I].Y,T[I].F); - } the Bayi intMax_flow () the { the intans=0; - while(BFS ()) - { theans+=Ffind (st,inf); the
imagine a pipe from the cross, there is water outflow from each column, Flow into each column. Since the problem itself is guaranteed to be solvable, it is a perfect match, and the water flowing out of the line will eventually be fully remitted to the into row.Then the intersection traffic of each row and column is the value of that point, because the range of the required values is 1~20, so we let the capacity of the row and column nodes be up to 19, and so on! Why is it 19? Because in the max
Topic linksTest Instructions: The number of cut points is given by a graph without direction .Ideas: very naked subject. You can do this directly by applying a template. Code:#include Copyright notice: This article Bo Master original articles, blogs, without consent may not be reproduced. Uva315-network (non-direction graph cut point)
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