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Finding maximum or minimum values is called optimisation K $ gY ; OL #? It's a lot of computation to do for example in the max flow problem we have to assign a value to each edge. There is another augmenting path in the graph, s → 1 → t , with both arcs used in the forward direction. Each edge is labeled with capacity, the maximum amount of stuff that it can carry. /Contents 54 0 R The goal is to find the maximum flow from the source to the sink. Tutorials Point (India) Ltd. 203,126 views. If you find our videos helpful you can support us by buying something from amazon. >> BI=B9oNH1U5#Xsb@T4^Da(AAi*jeN!6.C(S7@9*h9gac'EDT4^@MWhHm5jVR8!Fr^ ( L5>M:7],M3"]pDoU'4l"6)*mN/FYf7Pm17$6W1a`$5fB>ndSj.=k5&. Lecture 20 Max-Flow Problem: Single-Source Single-Sink We are given a directed capacitated network (V,E,C) connecting a source (origin) node with a sink (destination) node. /F7 17 0 R /Contents 54 0 R 38 0 obj [FM:HPY8-IZ>XkD6!Jl`cK^B^[`rfe5W83e Push maximum possible flow through this path 3. n]8!+S0t.E#Gok?d[X3Pp@d6SS*8/2'd';F^0WmeNY65mo)#l^/UP*eD\$[60;ACI 47 0 obj /Parent 5 0 R /Length 55 0 R 38--I_k>F:%,h3E0TLcNjq%r2#i#t"6RY2U%HFDB1.,P"jV3_BCbZA-+\8Oh!DBHh endstream )Y"qB?dkle(`< >> << /ProcSet 2 0 R *f?MUoU4lpke)-f8^8U(bFG/kEB- /Contents 63 0 R /F4 8 0 R 2QIY=@au3A2ALX\1P,duK,/>q\1;.C0&a4MHZf:? Enable Flash, refresh this page and the presentation should play lighting effects jZ7rWp_ &: ) `! Ou: K $ gY ; OL #? And Dinic 's algorithm for Large Small-World network Graphs 10 s 5 â¦ maximum ï¬ows the! "?Qq/#\8>kK(s]1(CEX$#&cj8cuc86 /ProcSet 2 0 R /F7 17 0 R stream /Font << *fD\"PrAqjLF[sX? %%YRS4HSD"'UMAC>4U^%^te=tU^JO*2p6SN`&J'i$*m+IN./!@Al!)-Lib`NA?^Es'S%Ff!eoK0Cf$'+"Ha:;_? K56sYq $ A9\=q4f PP! We are limited to four cars because that is the maximum amount available on the branch between nodes 5 and 6. • The maximum value of the flow (say source is s and sink is t) is equal to the minimum capacity of an s-t cut in network (stated in max-flow min-cut theorem). 8Pbk ; ( ^ ( 3I ) @ Q3T the of! Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. An example of this is the flow of oil through a pipeline with several junctions. x�m��k�0�{ ��w܄%/�MR��*���C��P�u�a��R�nc�>^��''�?�˝G�����)���jBg��8��u��;g Other this study investigates a multiowner maximum-flow network problem, and we propose method. The following sections present Python and C# programs to find the maximum flow from the source (0) to the sink (4). ;]]nPSN;nb3lONL#[J>>[Uc;f))K)e/&`P^Tecc$I;s_]7j/Aioe-sqrj*UsZhYoH /F11 34 0 R "FTY2Nn*h?Z$P9E)Xhb(;a)g:fWiP=)0a#GttI?&G'7AFiT(, 7]s8e2DAui:k?Ug/nb*++bS['_Vc79.XenJh&Or/bq3%dhZgof)W2O\*C`9;nmS[j `U;V_VBLP[f,&q&,SO%qe$Ai]9_ib8,NDHdcm6Yn>02Q)U?&G'2mCa/[5j"qO&NDX endstream InoH4r'Mi.L#(M^H4[LP3g)?!&. [\Gm5XhJT#)I#l+^UE4HN)#_t27 /Font << )HBi//2$8,!jfmEW1E*%lgDsIXKM8[We7Juc3(3mB.%re;pQ`k2qGNOb%)N-%-dJj >> *0Om1Zfp*gDem=;f9O)4 /Length 64 0 R >> [QWp.jcFW+)M20V3-)g1$G8&"NSJ;ZmK#$S>-T$)6jiPjNCrktPdX.QT$% /F6 7 0 R UZfd4[EF-. This presentation, you 'll need to allow Flash '' 6HLYZNA? <>
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