# SOLUTION: Math 160 Combinatorial Optimization Models Questions

Hello see the robust separation.

Project 4

Combinatorial Optimization Models

Name

Date

1.

a)

Proof by confliction:

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Suppose that the directed graph G has nodes 𝑉1 , 𝑉2 , 𝑉3 , . .. 𝑉𝑛 delay a cycle C.

Take 𝑉𝑖 be the last incurvation in the cycle followed by node 𝑉𝑗 . Such that 𝑖
This implies (𝑉𝑖 , 𝑉𝑗 ) are om the aspect.

For the confliction (𝑗
Thus, the directed incurvation is in a topological order

𝑉𝑖

𝑉𝑗

b)

The are indecent pre-requisite courses for economics major: micro-economics and

macroeconomics, statistics, and mathematics.

There are 4 node and three arcs. Micro-economics dispose ought to be produced antecedently macroeconomics. Similar, the math dispose should be handled succeeding letters basics in statistics. A

omission of any of the...

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