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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 18RE
icon
Related questions
Question
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).
Transcribed Image Text: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).
Expert Solution
steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning