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suppose that the only arcs that have negative lengths are outgoing from the origin node 1 show how to adapt dijkstras
consider a feasible max-flow problem show that if the upper flow bound of each arc is increased by alpha gt 0 then the
graph connectivity - mengers theorem let s and t be two nodes in a directed graph use the max-flowmin-cut theorem to
duality and the max-flowmin-cut theorem consider a feasible max-flow problem and let q s n -s be a minimum capacity
a solve the problem of exercise 31 using the layered network algorithm cf fig 38b construct an example of a max-flow
layered network algorithm consider the algorithm described near the end of section 32 which uses phases and
on23a complexity for unit capacity graphs consider the max-flow problem in the special case where the arc flow range is
consider a bipartite graph consisting of two sets of nodes s and t such that every arc has its start node in s and its
this counterexample from chvatal 1983 illustrates how the version of the fordfulkerson method where augmenting paths
relation of path construction and assignment the purpose of this exercise from bertsekas 1995c is to show the
consider an n times n chessboard and let a and b be two given squaresa consider the problem of finding the maximal
a town has m dating agencies that match men and women agency i has a list of men and a list of women and may match a
consider the opposite to the max-flow problem which is to minimize the divergence out of s over all capacity-feasible
consider the max-flow problem of fig 311 where s 1 and t 5a enumerate all cuts of the form s n -s such that 1 isin s
consider the minimum cost flow problem with nonnegativity constraints show that the dual problem is feasible ie there
consider the arc incidence matrix e of a graph this matrix has a row for each node and a column for each arc the
construct an example where m does not satisfy the condition 513 and the original problem has an optimal solution while
reduction to one sourceone sink format show how the minimum cost flow problem can be transformed to an equivalent
duality for assignment problems consider the assignment problem of example 12 derive the dual problem and the cs
consider the minimum cost flow problem with nonnegativity constraints given in fig 520 supplies and demands are shown
from a feasible to a basic feasible flow vector consider a feasible minimum cost flow problem such that the
in a procedure described in this chapter participants are given false feedback about an unfavorable personality trait
suppose the best algorithm for solving a problem would require 100 years to execute would you consider the problem to
51 consider the timing diagram in figure p51 assuming that the d and clock inputs shown are applied to the circuit in
311 consider the circuit in figure p31 can this circuit be used as one stage in a ripple-carry adder discuss the pros