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
, 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
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
the number of paths = number of points at the end of the path = total number of points-number of non-end points = Total number of points-two of the number of matches in the graph, so let's do a binary match.As the ball number increases, the minimum number of columns required is monotonous, so it can be two points. But two points each time to re-build the maximum flow, if enumerated in sequence, each time only need to add some edge, and then continue
Topic linksTest Instructions: The number of cut points is given by a graph without direction .Ideas: very naked topic, direct template can be. code: #include Uva315-network (non-direction graph cut point)
.
#include
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
Question:
Returns an undirected graph and calculates the number of cut points in the graph. (If vertex I and its adjacent edges are removed, the remaining graph is not connected, Then I is the cut point)
Analysis:
There is a mature DFS Algorithm for Finding cut points. One is written as a backup template.
/*
Zju1311 Netwo
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
the absence of a setExample: bzoj1497,bzoj2127,bzoj19342. Two points belong to the same set pay Val priceAt this time, the nature of the graph is a binary graph. (Face-beatingThen we can flip the nature of the two-part point, that is, the left point is selected, and the right point even T is selected.So after the transformation the problem became the first one. And just (I,j,val) (J,i,val)Example: bzoj1976
Topic Links:POJ1637Test instructionsA picture that gives a forward and a no-edge, asking if there is a Euler circuit that passes through all sides only onceProblem Solving Ideas:The solution of Euler circuit of mixed graph requires the use of network flow, and the concrete modeling method is as follows:1, first to all the non-directional direction, and then the statistics of all points in the degree and the
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
ISAP algorithmISAP (Improved shortest augument Path) algorithm is an improved version of the SAP algorithm, if the efficiency requirements are high, the algorithm can be used.(1) Overview: The algorithm is based on the fact that the shortest distance from any node to a sink point (in a residual network) will not decrease after each augmentation. In this way, we can use the d[i[to represent the lower bound of the distance from node I to the sink point.
Transferred from http://blog.csdn.net/regina8023/article/details/45815023 It
's written in front .
Network flow with upper and lower bounds is limited by the flow of the edge, which must be within the range of [Down,up].
In fact, the ordinary network flow is a special network with the upper and lower bounds of the flow, but each side of the flow limit to [0,ca
. 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
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