Introduction to Graph Theory: A Computer Science Perspective
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- เผยแพร่เมื่อ 7 มิ.ย. 2024
- In this video, I introduce the field of graph theory. We first answer the important question of why someone should even care about studying graph theory through an application perspective. Afterwards, we introduce definitions and essential terminology in graph theory, followed by a discussion of the types of graphs you may encounter. We then define several ways to represent graphs as a data structure and finish off the video with a discussion of what types of interesting problems you can ask about graphs to help motivate the ideas in future videos.
Typo correction: at 5:12 the vertex set V should be {0, 1, 2, 3, 4} instead of {0, 1, 2, 3, 4, 5} (there is no vertex 5).
Big thanks to Dániel László Bertalan for making the closed captions for this video!
The sudoku example was inspired by this incredible reddit visualization: / visualizing_the_sudoku...
Support: / reducible
This video wouldn't be possible without the open source manim library created by 3blue1brown: github.com/3b1b/manim
Here is link to the repository that contains the code used to generate the animations in this video: github.com/nipunramk/Reducible
Music:
October by Kai Engel freemusicarchive.org/music/Ka...
November by Kai Engel
freemusicarchive.org/music/Ka...
Cobweb Morning by Kai Engel
freemusicarchive.org/music/Ka...
![[TH] VCT Masters Shanghai Playoffs DAY 6 // G2 vs GEN | 100T vs TH](http://i.ytimg.com/vi/M6jxF80AajI/mqdefault.jpg)
I was unable to take admission to an engineering college to pursue Software Engineering due to my financial conditions. But I never lost hope I am studying on my own self and I feel privileged that I came to know about your channel. Thank you so much for such valuable content.
Are you indian or paki?
I wish you success
@@harrykekgmail I wish you too :)
I am a self-taught software developer with an established career. you can do this too. university is not required. the best advice to all readers is to start with web dev because it is the easiest path to starting a career. then on your own time study CS and interesting problems - because of this you will gain a fabulous education and your career will advance.
good luck Ali Farhan
I am an autodidact Data Scientist, i started with Web development and i did everything using only google, no school. You can do it but you need to be 10 times better than the others may god help you in your journey.
3Blue1Brown of Computer Science. Brilliant video.
Absolutely.
When I was watching this I thought hmm why does 3B1B's voice sound different
haha even i thought so
Absolutely Brother. Such nice content in this vast ocean of copy cat junks.
@@KonigKlack They are. He gives credit in the notes below the video.
I think it is the best video on TH-cam that discuss and give an existing introduction about graph theory. It was my duty to thank you for this video!
4 years into software engineering and had to refresh the knowdlegd on this. SO far the best explanation of such complex and abstract for many topic graphs. A true GEM video. Thanks!
This is by far the best video regarding graph theory I have seen in my (quite long) life. Extremely clear, extremely accurate and extremely useful. As "Einstein Newton" here said 8 months ago, this can be considered the 3Blue1Brown of Computer Science. Congratulations!
I was about to say that!
Your videos are absolutely amazing ! Especially your recursion video helped me immensely. Looking forward to more of your work. Keep going, this channel is going to be big! The video quality is just soo goood.
Thank you! Glad you find these videos helpful and yup I have so many ideas for content so don't plan on stopping any time soon :)
I love the mission of this channel! We need more interesting ways to delve into computer science for people who don’t want to sit down for 2 hours to understand fundamental (often complex) computer science topics!!! KEEP UP THE GOOD WORK!
Dude the way of explained this topic is so amazing and you made it look so easy to understand, It is so hard to understand this topic from books for someone like me. Thanks alot for your help. GOD bless!!
This is going to be one of the most popular study channel in the future ♥️
Beautifully explained and easily understandable to someone who knows little to nothing about graph theory or computer science. Keep up the good work!
Man!... your animations blow my mind 🤯 brilliantissime!!! Please keep doing them. I spent a moment on YT to find something understandable about graphs... and I found you! Thank you very much 🙏🏻🙏🏻
This is a great channel, definitely will get much more recognitions in the future!
I'm from the future! You were right. Just discovered this channel and I love it.
It's happening
I agree :)
I am from far future
Just found this, from the farer future
thank you SO MUCH for always providing representation of everything in terms of data structures. this is a differences between a topic being complete jargon and an actually making practical sense
wow never would've thought about sudoku like this - that's awesome!
Thank you for this video, I’ve been having a hard time motivating myself to start studying the graph theory chapter for my discrete math class, and this has helped me to finally open my textbook!
Im just can't thank you enough, this video was so enlightening that actually gives me a hope, it proves that I am able to learn and understand hard concept w/o expensive education. Eventually I would become a programmer.
Thank you from the bottom of my heart
Never seen a solution to a sodoku with graph theory! I just learned this to prepare for some competetive programming, I knew it was possible to solve using some disgusting nested for loops, but never knew graph would be a solution. Thank you!
The amount of time and care taken to produce this video shows. This is my first time on this channel and i'm looking forward to going through it more.
Another great one. Can’ t wait for more:)
I like the little bit at the end regarding the path through each vertex only once.
Welcome to graph theory 101. After some foundational examples let's jump straight to proving that P=NP. lol
hats off, the production quality is mind boggling.
Amazing Explanation !! You explained such a complex topic in so easy to understand language. I learnt a lot today and also found out interesting ways to visualize a graph. Thank you !!!
This was your first video that i saw amd let me say I'll always come here whenever there'll be a new math concept in CS that i want to understand.
Cheers👍
If everyone was like you, study wouldn't not be tough. Thank you for this video and graph theory explanation. What you made is not just knowledge, but enlightment for me. You do it like its a cake to you, and I actually understand your explanation.
Introduction :- 0:00
Why Study Graph :- 1:33
Definition :- 4:35
Terminologies :- 5:22
Types of Graph :- 8:32
Representation :- 10:15
Graph Problems :- 12:44
Pro-tip: if you put the timestamps on the left, they'll line up better.
This is amazing! Reminded me of Vector Art, Wave Function Collapse, and Neuronets a lot.
I have learned a lot, and deffinately want to learn way more!
Superb breakdown of the subject. Had no idea before the video and now I really understand if fundamentally.
Explain theories with clear diagrams and clear pronunciation. Great !
Brilliant elegant explanation, wow. Thank you one thousand times !
As a CS student this is really good content. Love all the videos you make!
I'm so happy I got here. I'm a completely new to all of this yet I cam out understanding every single thing you just said. That was amazing. Thsnk you so much
Keep on going! Your channel is just amazing! (Watching from France)
Brilliantly explained the concept of graph theory. Thank you.
Great Introduction to Graph Theory. Amazing Explanation.
Great video. Simple and easy to understand, and yet it gives a great overview of graph theory concepts.
I came here because of 3B1B, please keep up the good work. You've got great potential.
As a network engineer, this is really interesting! I visualize my networks with python and networkx and dot-graphs. Really fun!
Very nicely presented, clear and concise. You are the great teacher.
This was GREAT! I'm boning up on graph theory for cheminformatics, and this is providing a great foundation!
Please keep up these sensational videos, incredible amount of work and effort gone into these!
Awesome video! Can't wait to see more videos like this being posted!
Thank you for existing!
Your videos are so well explained. Wish i had a teacher like you from high school...
What a clean video anyone can understand from images itself
Thanks a lot for this
Beautifully explained. Thank you!
A very interesting video that explains the concepts well. Very inspiring.
Wow!! Amazing Video. One the best video, I have ever seen.
Just discovered your channel. I'm about to binge everything you've made.
Imagine Every Single Teacher in The World Teach Like HIM!! I mean there is no Teacher in my College who teach like him. His Explanations are clear and the way he presents his presentation is easy to understand and not boring to watch.
well, I presume no teacher has a couple of weeks/months time to prepare a single lecture that introduces basic concepts
absolutely amazing explanation!
this video was better than most videos on youtube related to graphs
I think I'm in love, thank you for the video!
Fantastic, just needed info for programming.Thank you.
Wow, so glad I found this channel. Subbed.
very good video, thank you so much, keep up the good work, watching 2 days before an exam
Simply awesome ! keep the good work going 👍
Great video !!! It Accomplish his goal of giving an introduction on the topic.
Thank you very much, that was a great introduction. Much appreciated
Taking this as a grad level course rn. Its very stimulating for visual learners
The Sudoku example is outstanding and useful.
The sudoku Example was the best! Please make more videos on graph theory
I will sit and watch all your videos one by one
I love this style of video.
Excellent Channel and very informative with rigor.
Nice introduction. Now I understand why git commits are directed acyclic graphs. Thanks man!
Thank you so much for the video, please make a whole playlist of videos on the graph theory course that they teach in Universities
What an amazing video. I am about to take graph theory next semester, your video absolutely makes my hope high for that course now. Keep the good work, hope the channel to get more attention in the future.
P.s: Is that possible if you can give a link to the script of the video or the summarize of what you talk about in the video. It will become a super helpful study material.
Thanks for the wonderful comment, I really appreciate it!
That's an interesting idea, l think the easiest solution would be adding text files for scripts into the linked Github under a new folder. I'll try to remember to do that when the next video comes out (should be in 1 - 2 weeks).
I will warn you, however, the scripts have a ton of notes on them about random animation files and things I need to remember when editing it all together that I probably won't have time to go back through and remove, so by no means will it be the cleanest "video script." Hope that's alright haha.
Absolutely smooth!
Why didnt i find this channel sooner? Love this
I spent a few hours building a Graph data type in Haskell (and I do not remember why), and how I did it was as a (cyclic) list of pairs, where the first entry is the node value, and the second is a list of offsets of the node's neighbors. For example, it would represent the graph at 12:38 as [(0, [1,2,3]), (1, [4, 2]), (2, [3, 1]), (3, [2, 3, 4, 1]), (4, [4])]
Keep on going! Your are doing an amazing work!!
OMG!! Great explanation, Great Presentation. Of course, going to crack university examinations with excellent points.😍😍 I'm confused about whether should I tell about this channel to my competitors or leave them on their fate.
very nice, thanks for the vizualisation and soothing music
Very well explained. Subscribed!
Absolutely amazing content.
Awesome video. Thank you!
great channel ,please continue making such great videos .
Just found you channel through this video. Great presentation.
It feels so great that Grant has inspired people to follow this cool way of explaining things, keep up !!!
Excellent video and narration
Outstanding presentation.
nice channel i just found it today, i like the concise summary's of topics
i cant read my college material for this particualr topic and found your videos, ist really great!!
Very nicely introduced, I hope you have some very complex cutting edge applications of graph theory to show off :)
Thank you for putting subtitles
Brilliant video. are there any recommendation on learning resources you can suggest while we wait for the next in the series?
Amazing! Thank you!
Great Video!! Thank you!
i wish anyone who has interest in Graph, Watch this, the very first Day. Great Work, Thanks!!!!
thank you very much for this explanation !
Thank you, nice introduction!
Excellent video!
Thank you so much! This was very helpful.
Amazing video !!! Thank you !!!
Great video! thanks so much!
Excellent intro to graphs. I'd like to find applications for large dynamic graphs to solve complex problems.
Great Video, got me Subscribed!
You need content.
Binge watchable sets of 20+ min videos on related topics from video to video.
Trust the community.
Keep it up great job.
Thank you so much for your effort, It was a very informative and very interesting video
There is a small mistake at 4:15
You would need to connect every point on a column with every other point on the same column same for the rows. Otherwise a graph coloring algorithm wouldn't work here, since graph coloring algorithms only test for the constraint that each neightbor has a different color.