May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Author: Uma Shanker Gupta and ISBN: 978-93-325-2139-1
Solution Manual A-83
(iv) The saturated arcs are (s, e), (e, t) and (d, t).
(v) The given flow is not saturated as there is a path s a c t along which the flow can be
increased by 1.
5. (i) The law of conservation at vertices a, b and d can be verified as done in earlier solutions.
(ii) The value of flow f = f(s, a) + f(s, b) = 4 + 4 = 8
(iii) The flow is not maximum as the path sact is unsaturated.
(iv) The flow along the path sbct cannot be increased as the are (b, c) is saturated.
(vii) The capacity of (S, T) cut where S = {s, a, b} and T = {c, d, t}
is C(a, c) + C(b, c) + C
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