May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Topics in Graph Theory 10-75
(iv) Name all the saturated arcs.
(v) Is the given flow saturated?
5. For the network flow with source s and sink t,
a
s
bd
t
c
5, 4
4, 3
6, 4
4, 3
4, 4
5, 4
2, 1
2, 2
2, 1
(i) Verify the law of conservation of flow at a, b, and d.
(ii) Find the value of the indicated flow.
(iii) Is the given flow maximum?
(iv) Can the flow along the path s b c t be increased?
(v) Find the capacity of (S, T) cut where
S = {s, a, b} and T = {c, d, t}
6. Find the maximum flow for the network with edges labelled with their capacities shown in
the figure by listing all (S, T) cuts.
a
s
b
d
t
c
5
4
4
3
6
5
5
9
7
7. For the (s, t) network flow
(i) Find the value of flow. ...
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