❖ Flows and Cuts in Graph Theory ❖

In this video, we dive into the foundational concepts of transportation networks from a graph theory perspective. This brief introduction covers key topics such as capacity, flows, and cuts, with a focus on essential graph theory elements including source, sink, and edge capacity.

What You’ll Learn:

Transportation Networks Overview: Gain a fundamental understanding of how transportation networks are modeled using graph theory.
Source and Sink: Learn about the roles of source and sink nodes in network flow problems and their significance in optimizing transportation systems.
Edge Capacity: Explore the concept of edge capacity and its impact on network flow and efficiency.
Flows and Cuts: Get an introduction to how flows are managed within the network and the concept of cuts, which are crucial for analyzing network connectivity and capacity.
Why This Video?

Concise and clear explanations of graph theory concepts
Focused discussion on practical applications in transportation networks
Ideal for students and professionals seeking a quick yet thorough overview
Whether you’re studying graph theory, operations research, or just curious about the mathematical aspects of transportation networks, this video provides a solid foundation in these key concepts.

Don’t forget to like, subscribe, and hit the notification bell for more insightful content on graph theory and network analysis!

[Brickzot]

We literally just learned about this in class today. You rock my socks Patrick.

[AznJsn]

Please more videos on graph theory! I'm taking Graph Theory this summer!

[dietrompetenils]

Thank you. I only came to find out how to determine a min cut and I was not disappointed :)

[goodrow]

i love your channel you helped me through a homework problem that not even Khan Academy could...

[SlickOnTop]

God bless you for spreading the fruits of knowledge!

[A-R]

It is gonna be pretty good if you put more videos about this.
Once again, thanks!

[starhawk]

Hey in my book applied combinatorics 2016 edition(M.Keller and W.Trotter), the capacity of a cut is measured by adding the "capacity" of edges going from one partition to other ....I am confused.

[YuriLiu-nr]

hI can I have the link to next video please?

[parthi]

Why did you calculate capacity of a cut as sum of flows, not sum of capacities?

[al-anoud-]

Very useful! Have you made the follow-up video for the max flow - min cut ?? I can not find it in your channel

[sujatatamang]

wondering how it would work for a closed graph? If there was no flow going out from (C, D) to E ?

[redasketchum]

Hi Patrick. Why there are no calculus 3 videos like 3D spaces, Quadratic surfaces etc. this kind of stuff? it feels like youtube barely has any content for this class. Please consider it. Thank you!

[Unstable_Diffusion]

could you have functions as flow or capacity values?

So say if you were modelling the flow of a liquid through a pipe that's radius changes size, so the rate of flow, F, would change as a function of the radius, r ; F(r).

[JUDALUCI]

Hi, I heard you are saying there is another video talking about maximize the flow, can you show me the link? Thanks. Very useful video.

[elzohryAcademy]

Thanks alot 
Which tools and Camera you use to make such videos.

[hironhassan]

I love my best youtube teacher"Patrick"❤️ I am from Kurdistan-Iraq

[mariamakter]

MashaAllah you are a very good
Eagerly waiting for your following vidios on the topic an more

[pablobiedma]

I think there is a mistake, you added the flows but you were supposed to add the capacities (in your example the result is the same though)

[asdwasdw-zm]

can i get the reference for this, pls?

[aravind]

will you do videos in electromagnetics part? its full of maths rather than electricals or anyother subjects. can you please give it a try?