Answered: Problem 1. Σvex (f+(v) - ƒ¯(v)) = a)… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 19E

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Problem 1.
Σvex (f+(v) - ƒ¯(v))
=
a) Show that, for any flow f in a network N and any set X CV,
f+(X) — ƒ¯(X). (15 points). b) Give an example of a flow f in a
network such that Σvex ƒ+(v) ‡ ƒ+(X), and Σvex ƒ¯(v) ‡ ƒ¯(X). (10 points).

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