257:
25:
145:, numerical values on each edge that respect the capacity constraints and that have incoming flow equal to outgoing flow at all vertices except for certain designated terminals.
163:, in which the edges have costs as well as capacities and the goal is to achieve a given amount of flow (or a maximum flow) that has the minimum possible cost
241:
188:, a partition of the vertices of the flow network that minimizes the total capacity of edges crossing from one side of the partition to the other.
46:
189:
304:
116:
97:
196:
of an undirected flow network provides a concise representation of all minimum cuts between different pairs of terminal vertices.
69:
170:, in which one must construct multiple flows for different commodities whose total flow amounts together respect the capacities
50:
76:
294:
220:
265:
167:
289:
83:
213:
176:, a type of flow studied in combinatorics in which the flow amounts are restricted to a finite set of nonzero values
156:, in which the goal is to maximize the total amount of flow out of the source terminals and into the sink terminals
130:
299:
227:
160:
65:
309:
181:
35:
234:
54:
39:
206:
153:
275:
incorrectly led you here, you may wish to change the link to point directly to the intended article.
193:
90:
173:
249:
283:
142:
138:
141:(a graph with numerical capacities on its edges), and the goal is to construct a
223:, a greedy algorithm for maximum flow that is not in general strongly polynomial
185:
24:
268:
includes a list of related items that share the same name (or similar names).
199:
256:
192:
provide an extension of this result to multi-commodity flow problems. The
230:, a method based on linear programming but specialized for network flow
252:
or similar and solved using a general purpose optimization solver.
248:
Otherwise the problem can be formulated as a more conventional
137:
are a class of computational problems in which the input is a
18:
244:, one of the most efficient known techniques for maximum flow
216:, a faster strongly polynomial algorithm for maximum flow
272:
184:
equates the value of a maximum flow to the value of a
209:, a strongly polynomial algorithm for maximum flow
148:Specific types of network flow problems include:
262:Index of articles associated with the same name
8:
53:. Unsourced material may be challenged and
117:Learn how and when to remove this message
190:Approximate max-flow min-cut theorems
7:
51:adding citations to reliable sources
242:push–relabel maximum flow algorithm
14:
255:
23:
202:for constructing flows include
16:Class of computational problems
1:
168:multi-commodity flow problem
326:
305:Combinatorial optimization
254:
131:combinatorial optimization
228:network simplex algorithm
161:minimum-cost flow problem
221:Ford–Fulkerson algorithm
182:max-flow min-cut theorem
235:out-of-kilter algorithm
214:Edmonds–Karp algorithm
66:"Network flow problem"
237:for minimum-cost flow
135:network flow problems
295:Network flow problem
154:maximum flow problem
47:improve this article
290:Set index articles
266:set index article
207:Dinic's algorithm
174:Nowhere-zero flow
127:
126:
119:
101:
317:
300:Graph algorithms
276:
259:
122:
115:
111:
108:
102:
100:
59:
27:
19:
325:
324:
320:
319:
318:
316:
315:
314:
310:Directed graphs
280:
279:
278:
277:
270:
269:
263:
123:
112:
106:
103:
60:
58:
44:
28:
17:
12:
11:
5:
323:
321:
313:
312:
307:
302:
297:
292:
282:
281:
261:
260:
250:linear program
246:
245:
238:
231:
224:
217:
210:
194:Gomory–Hu tree
178:
177:
171:
164:
157:
125:
124:
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
322:
311:
308:
306:
303:
301:
298:
296:
293:
291:
288:
287:
285:
274:
273:internal link
267:
258:
253:
251:
243:
239:
236:
232:
229:
225:
222:
218:
215:
211:
208:
205:
204:
203:
201:
197:
195:
191:
187:
183:
175:
172:
169:
165:
162:
158:
155:
151:
150:
149:
146:
144:
140:
136:
132:
121:
118:
110:
99:
96:
92:
89:
85:
82:
78:
75:
71:
68: –
67:
63:
62:Find sources:
56:
52:
48:
42:
41:
37:
32:This article
30:
26:
21:
20:
247:
198:
179:
147:
139:flow network
134:
128:
113:
104:
94:
87:
80:
73:
61:
45:Please help
33:
186:minimum cut
284:Categories
200:Algorithms
107:April 2018
77:newspapers
34:does not
91:scholar
55:removed
40:sources
271:If an
93:
86:
79:
72:
64:
264:This
98:JSTOR
84:books
240:The
233:The
226:The
219:The
212:The
180:The
166:The
159:The
152:The
143:flow
70:news
38:any
36:cite
129:In
49:by
286::
133:,
120:)
114:(
109:)
105:(
95:·
88:·
81:·
74:·
57:.
43:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.