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Minimum Cut and Maximum Flow in Transport Networks, Summaries of Algorithms and Programming

Exercises on finding the maximum flow in transport networks using the labeling procedure and determining the corresponding minimum cut. it introduces the concept of a cut as a disconnection of paths from the source to the sink and provides two example networks for analysis. The exercises are valuable for understanding fundamental graph theory concepts and algorithms.

Typology: Summaries

2024/2025

Available from 04/20/2025

rik-saha
rik-saha 🇮🇳

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Todays Session
MINIMUM CUT
PROVE MIN CUT = MAX FLOW
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Today’s Session

MINIMUM CUT

PROVE MIN CUT = MAX FLOW

CUT

Disconnection of paths connected from Source to the Sink.

OR

Set of edges whose removal, divides network into two halves X and Y,

where S ∈ X and T ∈ Y. [Here, S represents Source and T represents Sink ]

S 1 T

D

A B

C

Q2. Find the maximum flow in the transport network using labelling procedure. Determine the corresponding MIN CUT.