inty) {returnx*15+y;}78booldfs(intx)9{10for(inty=0;y<ny;++y)11if(g[x][y] && !vy[y])12{13vy[y]=1;14if(my[y]==-1||dfs(my[y]))15{16mx[x]=y;17my[y]=x;18return1;19}20}21return0;22}2324intb_matching()25{26memset(mx,-1,sizeof(mx));27memset(my,-1,sizeof...
Basic algorithm 根据augmenting graph的性质,我们能很快想到一个最基本的算法: Pseudo code: \begin{array}{l}&M\leftarrow \emptyset \\&repeat \\&\ \ \ \ Find\ a\ path\ P\ in\ D_M\ from\ U_M\ to\ W_M\\&\ \ \ \ If\ P\ is\ not\ found,\ return\ M\\&\ \ \ \ M\left...
Summary: The shortest augmenting path ({\\\sc {Sap}}) algorithm is one of the most classical approaches to the maximum matching and maximum flow problems, e.g., using it Edmonds and Karp in 1972 have shown the first strongly polynomial time algorithm for the maximum flow problem. Quite as...
6.4.1 Presentation of the algorithm This algorithm uses the concepts of the augmenting path and the blocking flow. An augmenting path goes from the source s to the sink t in the residual graph Gf. A blocking flow is a flow, found on an augmenting path, that contains an edge whose capaci...
Alekseev, V.: A polynomial algorithm for finding the largest independent sets in fork-free graphs. Diskretn. Anal. Issled. Oper. Ser. 1 6(4), 3–19 (1999) (in Russian; English translation in Alekseev, V.: Polynomial algorithm for finding the largest independent sets in graphs without fo...
Bäıou and Balinski also proposed the first stronglypolynomial algorithm for the stable allocation problem, with worst-case running time Θ(mn) on a bipartite instance with n vertices and m edges; we...Finite termination of “augmenting path” algorithms in the presence of irrational ...
Summary: The shortest augmenting path ({\\\sc {Sap}}) algorithm is one of the most classical approaches to the maximum matching and maximum flow problems, e.g., using it Edmonds and Karp in 1972 have shown the first strongly polynomial time algorithm for the maximum flow problem. Quite as...
Bäıou and Balinski also proposed the first stronglypolynomial algorithm for the stable allocation problem, with worst-case running time Θ(mn) on a bipartite instance with n vertices and m edges; we...Finite termination of “augmenting path” algorithms in the presence of irrational ...