How Dijkstra's Algorithm Works

Dijkstra's Algorithm allows us to find the shortest path between two vertices in a graph. Here, we explore the intuition behind the algorithm - what information we need to keep track of, in what order we need to explore vertices, and what the limitations of the algorithm are.
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Spanning Tree is an educational video series about computer science and mathematics. See more at spanningtree.me
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Spanning Tree is created by Brian Yu. brianyu.me/
Email me at brian@spanningtree.me to suggest a future topic.

Пікірлер: 697

  • @beketmyrzanov1979
    @beketmyrzanov19793 жыл бұрын

    This video is ridiculously underrated ((

  • @vn5051

    @vn5051

    3 жыл бұрын

    istg

  • @travelrealindia1

    @travelrealindia1

    2 жыл бұрын

    Can't agree more

  • @thishandleistaken.

    @thishandleistaken.

    2 жыл бұрын

    I noticed that people put everything between is and underrated

  • @myleshayhurst5187

    @myleshayhurst5187

    Жыл бұрын

    Truuee

  • @nayankumarbarwa4317

    @nayankumarbarwa4317

    Жыл бұрын

    Criminally underrated, Brian Yu also teaches in Cs50 topics like AI and Web dev

  • @hongweichen3581
    @hongweichen35813 жыл бұрын

    Came from Computerphile's video after not understanding, and this is just so much better! You made advanced concepts so easy to understand for beginners like me, thank you.

  • @TainuiaKid1973

    @TainuiaKid1973

    Жыл бұрын

    Here's the implementation in Python kzread.info/dash/bejne/iKKIzrluZ5W5k5c.html

  • @Itachi.Uchiha.Offical

    @Itachi.Uchiha.Offical

    Жыл бұрын

    Same! Came from Computerphile, felt dumb, watched this, and understood.

  • @turuus5215

    @turuus5215

    Жыл бұрын

    Same, concepts should be intuitive for humans.

  • @dineshkumare1750

    @dineshkumare1750

    Жыл бұрын

    @@TainuiaKid1973 I also came here after seeing Computerphile video😂..

  • @nayankumarbarwa4317

    @nayankumarbarwa4317

    Жыл бұрын

    This video is criminally underrated

  • @aries3690
    @aries36902 жыл бұрын

    I cant stress how amazing these animations are! You are a livesaver for "self-learners" like us :)

  • @acedev003

    @acedev003

    2 жыл бұрын

    Absolutely!

  • @Yell-Heah

    @Yell-Heah

    2 жыл бұрын

    fuck, dude, yeah. I don't learn anything from my college lectures- I need stuff I can pause and rewind, and my monkey brain does great with visual assistance. needing to basically self-teach myself all my CompSci, I don't wanna think about where I'd be without videos like this

  • @MichaelKingsfordGray

    @MichaelKingsfordGray

    Жыл бұрын

    Learn your real name first!

  • @MikhailFederov

    @MikhailFederov

    Жыл бұрын

    Calling yourself a self learner is meaningless. Everyone is a self learner.

  • @MichaelKingsfordGray

    @MichaelKingsfordGray

    Жыл бұрын

    @@MikhailFederov There is a more respectable term for self-taught: Autodidact.

  • @Yell-Heah
    @Yell-Heah2 жыл бұрын

    I've been agonizing over trying to understand this algorithm for a class for hours- and now I'm about halfway through this video, and I'm already feeling enlightened. It's FINALLY clicking. You're a lifesaver, mate!

  • @Mobin92
    @Mobin92 Жыл бұрын

    THANK YOU for the part at 6:28 ! Nobody else seems to explain how to actually find the path, and not just it's length.

  • @dominiorrr6510
    @dominiorrr6510 Жыл бұрын

    I love learning based on examples and this is by far the best example of Dijkstra's algorithm I've seen so far. It covers a lot of aspects that might not be obvious at first. I haven't even learned Dijkstra yet, but it feels trivial to implement after knowing how simple graph algorithms like DFS or BFS work.

  • @penguinjuice7543
    @penguinjuice754311 ай бұрын

    Absoloute life saver. Got taught this by a teacher who literally doesn't know computer science so videos like this are vital.

  • @whatsup_internet
    @whatsup_internet4 ай бұрын

    So far the best and easiest explainations i have ever seen on YT yet for dijkstra;s Algo. Great work !!! Thank you :)

  • @skidoodles
    @skidoodles3 жыл бұрын

    For each vertex v: Dist[v] = infinite Prev[v] = none Dist source = 0 Set all vertices to unexplored While destination not explored: V = least valued unexplored vortex Set v to explored For each edge (v, w): If dist[v] + len(v, w) Dist[w] = dist[v] + len[v, w] Prev[w] = v

  • @adharlak510

    @adharlak510

    3 жыл бұрын

    Thank you to SpanningTree for the insight and thank you for the memo !

  • @abam9787

    @abam9787

    Жыл бұрын

    What's the significance of Prev[w] when the latest update of Dist[w] is more important?

  • @AlumniQuad

    @AlumniQuad

    Жыл бұрын

    @@abam9787 6:24

  • @irrelevant_noob

    @irrelevant_noob

    Жыл бұрын

    @Skidoodles the last two lines should be indented more, to indicate they are both part of the "if true" branch of the conditional. Also, why not indent for the while loop?

  • @shiko4959

    @shiko4959

    Жыл бұрын

    Thanks man

  • @prashanthvaidya
    @prashanthvaidya2 жыл бұрын

    The animation is just outstanding! A video on "how" you make these videos or just what inspired you to get started on this creative journey would be awesome. Keep up the amazing work. I have subscribed and also pressed the bell icon. :)

  • @ozboomer_au
    @ozboomer_au Жыл бұрын

    A very helpful video. Just looking at code and some rambling explanation in a book made the algorithm as clear as mud in a beer bottle to me... but this video has made it so abundantly clear... and seeing how code is derived from it is more than helpful. Thanks so much for posting.

  • @artycrafty8691
    @artycrafty869111 ай бұрын

    Not only the video is underrated but the whole youtube channel is underrated. best of luck you spanning tree. This is the future of education. I feels so good when i look up to such unique educational channels.

  • @pend_deletepatrickguarente4916
    @pend_deletepatrickguarente49168 ай бұрын

    By far the best video on this subject I have ever seen, FANTASTIC job with those animations they are really good!

  • @keitumetsemolefe3515
    @keitumetsemolefe3515 Жыл бұрын

    This is the best explanation on Dijkstra's algorithm I've ever come across!! 🙌🙌

  • @supersakib62
    @supersakib6211 ай бұрын

    One thing I realized, visualization is more helpful to grasp a context than just reading about it.

  • @soyandoat4106
    @soyandoat41062 жыл бұрын

    Please continue to do more of this video! Thank you so much for your content!!

  • @jaylensung7332
    @jaylensung73328 ай бұрын

    It's amazing that I recognized this voice immediately and realized this random video I picked is actually from Brain! Thank you for all the hard work you've done!

  • @demonking2526
    @demonking2526 Жыл бұрын

    Very great explanation, I just followed along Dikstra's algorithm in pseudo code and implemented pathfinding in Unity using it. This visual tool really helps explain the algorithm at hand! Great work.

  • @KingstonFortune
    @KingstonFortune Жыл бұрын

    This is so much better than some other ones I already saw....and that was a nice tip at the end, referring to the negative value.

  • @alliepiper4772
    @alliepiper47722 ай бұрын

    I've been watching a few of your videos over the last day or so, and they're all just so good. You really have a knack for explaining complicated concepts with a clear, easy-to-grasp visual style. I think I'd describe your channel as "3blue1brown for computer science" :) I hope that comes off as complementary as it's intended. Kudos, and keep up the great work, I'm looking forward to more!

  • @ajaysrinivas2814
    @ajaysrinivas2814 Жыл бұрын

    What a great explainer video! Please make more of algorithms. Thanks a lot for making this video.

  • @saipan1970
    @saipan197010 ай бұрын

    The ambience,sound the illustration and putting the main logic behind this algorithm : Clarity and transparency are optimum.Please do make videos like this for every important algo,a request.Refreshing..

  • @taumah7302
    @taumah730210 ай бұрын

    Incroyable ! Mes profs n'ont pas réussi à ma faire comprendre cet algo en 1h et là je tombe sur cette vidéo ! Merci tu viens de sauver mon année !

  • @curesnow6493
    @curesnow6493 Жыл бұрын

    I am a virtual person and this is my first video so far, and it is very easy to understand!

  • @OneTrueBadShoe
    @OneTrueBadShoe Жыл бұрын

    I saw this in a class in 1994 or 5. This has always been my favorite algorithm I've ever learned. Nice video

  • @egalomon
    @egalomon Жыл бұрын

    I don't know why YT is recommending this to me 2 years after its upload, but I gladly clicked on the video! This is pretty much the only thing I remember from when I was studying Geoinformatics before I quit lol so it's a nice throwback for me. Very well explained too! 8:30 for something our professor needed like 2 weeks for

  • @MartinStaykov
    @MartinStaykov Жыл бұрын

    I don't think I've ever watched anything ever explained in a clearer way than this.

  • @megamaser
    @megamaser6 ай бұрын

    The first time I figured out this algorithm, it was by reading code. That worked, but took way longer than watching this video. This video is very nice. It is clear and touched the most important points. You've made an intuitive understanding of Dijkstra's algorithm easily accessible to anyone. The only thing I would add to this video is at least a brief mention that you would put the data in a heap. This could be a nice segue into a separate video about heaps.

  • @qazizayad4860
    @qazizayad486011 ай бұрын

    i have my Alevel Comp Sci paper 12 hours from now. I love you man. Youre a real life saver

  • @rockstarpesu
    @rockstarpesu9 ай бұрын

    Such a great way to explain the complex topic. Thanks a lot. 😊

  • @chrisogonas
    @chrisogonas Жыл бұрын

    Excellent illustration of the Dijkstra's algorithm. Superb!

  • @adrienw4704
    @adrienw4704 Жыл бұрын

    very interesting! i love how you voice over your code. you make it super understandable!

  • @johnle7705
    @johnle77053 жыл бұрын

    This channel is a germ!! So glad I found you!

  • @BrianOSheaPlus
    @BrianOSheaPlus Жыл бұрын

    Excellent video. Clear and concise description of Dijkstra's algorithm.

  • @davewilson4493
    @davewilson449311 ай бұрын

    No doubt like many other people, I reinvented a variant of this particular wheel (in my case back in the mid 90s while writing "AI" code for NPCs at a games company). A guy on our team who actually liked writing in x86 assembly language had written a brute-force A-B routefinding function that was slow enough to take up meaningful time. After some playing around in C, I ended up zeroing in on the offspring of Dijkstra which fully explores the graph and finds the shortest routes to everywhere, and it was several orders of magnitude faster than the assembly guy's code.

  • @SimonTheDankOne
    @SimonTheDankOne Жыл бұрын

    I have a shortest path problem that I am currently working on, and even though I am familiar with the Dijkstra algorithm this somehow just made me instantly realise of my mistake in code. Gracias

  • @magik0630
    @magik06303 жыл бұрын

    Excellent walkthrough. 4th video down and I finally get it. Thanks

  • @ghanshyamtripathi221
    @ghanshyamtripathi2213 ай бұрын

    not even kidding this is the best explanation/ visualisation one can ever get Thank you sir!!

  • @SaidElnaffar
    @SaidElnaffar Жыл бұрын

    I am sharing this link with my students in the Data Structures course -- Keep it up!

  • @smikkelbeer7890
    @smikkelbeer7890 Жыл бұрын

    By far the best explanation on the internet. Thank you

  • @aakashdp
    @aakashdp3 жыл бұрын

    thanks! easy to follow. explained in simple terms.

  • @DaveAlexKD
    @DaveAlexKD Жыл бұрын

    I love this explanation is so simple to understand. Thank you!

  • @tongluo9860
    @tongluo98602 жыл бұрын

    I am taking CS50 Edx class, I recognized this voice. It must be you Brain. Wonderful job explaining this concept, just like you did in CS50!

  • @ujjwalgupta4160
    @ujjwalgupta41603 жыл бұрын

    Kudos to the animation and explation.

  • @dailyamazingshortvideos
    @dailyamazingshortvideos Жыл бұрын

    This is the best explanation,one can ask for. . Waiting for more such algo explanations

  • @CrescentDolluwu
    @CrescentDolluwu11 ай бұрын

    Besides how great of a job this video explains this concept, The absolute best part is the little blue robot blinking and looking around.

  • @davngo
    @davngo3 жыл бұрын

    Awesome explanation, short and to the point.

  • @ikuubi
    @ikuubi5 ай бұрын

    Most grandiose of respect, the other day I saw a video that jump straight to explaining the 'cost'. Me being a non technic person can't understand why a to b took so long, while you can just hypothenuse your way to b. But now it makes sense!

  • @kacperwodiczko
    @kacperwodiczko2 жыл бұрын

    Thank you! You've made it so easy to comprehend

  • @bscorvin
    @bscorvin Жыл бұрын

    My professors love bringing up the traveling salesman problem and then not elaborating, so this was fun. Thanks!

  • @ccsmooth55
    @ccsmooth55 Жыл бұрын

    Very helpful video. Im a Network Engineer and this is how OSPF works (because it uses Djikstras Alg.). Instead of towns, its nodes (routers) on a network.

  • @naughtiusmaximus
    @naughtiusmaximus Жыл бұрын

    To understand Djikstra, you need to understand Roche and Ves's Theorems. And then Geralt's theorems.

  • @quadroninja2708

    @quadroninja2708

    11 ай бұрын

    I can't find anything about Ves's and Geralt's theorems. Could you please share some links to these?

  • @quadroninja2708

    @quadroninja2708

    11 ай бұрын

    oh i see, it's a joke :-)

  • @naughtiusmaximus

    @naughtiusmaximus

    11 ай бұрын

    Its a Witcher joke :D

  • @Adarsh_Tiwari
    @Adarsh_Tiwari Жыл бұрын

    This is almost similar to the CPM (Critical Path Method) that we study in Project Planning and Management. So beautifully explained

  • @TheMofRider2

    @TheMofRider2

    Жыл бұрын

    Just wanted to mention that. You're absolutely right 🙂

  • @saragul2806
    @saragul2806 Жыл бұрын

    Amazing job! I have a logistics course in uni and I didn't understand the class. Lucky me found this video. Thank you!!!

  • @rpgprime
    @rpgprime Жыл бұрын

    By far THE best graphical explanation of Dijkstra's algorithm and it covers improving it to get the actual path 👍

  • @opinions8731
    @opinions8731 Жыл бұрын

    Damn, I recognised Brians' voice from CS50AI. Respect for your joy of teaching man!!

  • @namankeshari7332
    @namankeshari73329 ай бұрын

    This is the first video I watched on your channel and on dijkstra's algorithm and damnn it was sooo good! Loved it!

  • @rodrigo-tj1gf
    @rodrigo-tj1gf5 ай бұрын

    You need to post more, those videos are freaking good

  • @gargolario
    @gargolario Жыл бұрын

    Great, clean and simple! Congrats!

  • @soniahandle
    @soniahandle Жыл бұрын

    Exactly what we need more of! Amazing explanation

  • @HabunoGD1821
    @HabunoGD18216 ай бұрын

    I loved the video and your explanation. I read something out there and I want to share it 3:47 - 4:42 "It's important to note that this approach may have limitations and doesn't always ensure the most accurate result. In certain situations, it could lead to inaccurate estimates if the initial estimation doesn't precisely reflect the reality of the path. In the original Dijkstra's algorithm, continually updating estimations is crucial to ensure the accuracy of the shortest path."

  • @gauravbhalerao7420
    @gauravbhalerao7420 Жыл бұрын

    From Google Maps to Project Management (CPM) the applications of this algo are literally limitless

  • @DontAddMe
    @DontAddMe Жыл бұрын

    beautifuly explained! Dont stop making these videos. You are the savior of cs students

  • @s1mplelance964
    @s1mplelance9642 жыл бұрын

    Great video with clear explanation! It would fit those entry level guys.

  • @bapynshngain
    @bapynshngain Жыл бұрын

    This was really very insightful. I wish more teachers would adopt this method of teaching because it is so much easier to understand than the traditional textbook method!

  • @tirateehoffenberg8824

    @tirateehoffenberg8824

    8 ай бұрын

    Making a high quality KZread videos like this takes a lot more time than drawing nodes and edges on a whiteboard.

  • @ghad6799

    @ghad6799

    3 ай бұрын

    While giving high quality lectures on white board is skill. Honestly, our education system is fine, just the skill issue of conveying an idea. Fucking hell my "international university" profs can't even speak English.

  • @sankalpspatil4890
    @sankalpspatil48902 жыл бұрын

    After watching a few videos on this, for some reason the robot and town animation made the concept finally click. Thanks!

  • @javel476
    @javel4762 жыл бұрын

    Best video about dijkstra algorithm I have ever seen

  • @JamesCheng999
    @JamesCheng999Ай бұрын

    Great video, very intuitive and help me a lot!

  • @Mercury2wo
    @Mercury2wo Жыл бұрын

    Fantastic video!! Am watching all your videos back to back

  • @rocket007
    @rocket007 Жыл бұрын

    Really cool stuff. I am also happy about the snippet code algorithm at the end

  • @koomky
    @koomky10 ай бұрын

    I used the Dantzig method to do this. Now I understand a new method, thanks

  • @sayantankundu973
    @sayantankundu9732 жыл бұрын

    Just gotta a say, thanks a lot.... U have made it so easy to understand... The animation is very helpful... Keep going

  • @firebraingames
    @firebraingames2 жыл бұрын

    Great way to get a feel of Dijkstra's Algorithm

  • @jessojohn9226
    @jessojohn922610 ай бұрын

    i never subscribed a channel just watching one video before..You are so good

  • @___vandanagupta___
    @___vandanagupta___9 ай бұрын

    The amazing quality of your videos is super underrated

  • @JayantKumarZ
    @JayantKumarZ Жыл бұрын

    my god this is amazing!!!!! How expert you must be at your art to be able to simplify to this extent

  • @emmanuelonah4596
    @emmanuelonah4596 Жыл бұрын

    Thank you for this simplification

  • @amrutaj28
    @amrutaj28 Жыл бұрын

    Beautiful explanation. Thank u so much.

  • @abdullahmustafa3746
    @abdullahmustafa37462 жыл бұрын

    you are just doing a great job right there, Thank you

  • @shandou5276
    @shandou52762 жыл бұрын

    This is incredibly well made!

  • @souvikbera6725
    @souvikbera6725 Жыл бұрын

    Great video and audio visual representation of the complex algorithm. Made it look like so easy for anybody to learn. Can we have a similar video maybe for A* algorithm, that would be pretty awesome. Also any algorithm google might be using for their routing solution. Thank you.

  • @nojoodothmanal-ghamdi1026
    @nojoodothmanal-ghamdi10262 жыл бұрын

    How this video have less than 30k views!! It deserves ar least 1M, I really understood it so well thank you so much

  • @gowinidea
    @gowinidea11 ай бұрын

    You guys have produced super videos..thanks much!❤

  • @ghostfjdgcsusvsgsj
    @ghostfjdgcsusvsgsj Жыл бұрын

    best explanation of dijkstra's algo so far

  • @matteobecatti3157
    @matteobecatti31572 жыл бұрын

    Very clear explanation, thank you!

  • @SatyarthShankar
    @SatyarthShankar Жыл бұрын

    Your channel should grow! Amazing work!

  • @ssamship2275
    @ssamship22757 ай бұрын

    This video had actually insane timing. Just went over this in class.

  • @manishmakode6332
    @manishmakode633210 ай бұрын

    Really great animation for explaining the concept, loved it

  • @Agamista379
    @Agamista379 Жыл бұрын

    This is amazing. Please keep the good work.

  • @sherazdotnet
    @sherazdotnet Жыл бұрын

    Very nicely explained and graphics effect are perfect as well. If you pay attention to what the author is speaking, you'll notice that he used proper terms like "go to the town we haven't visited". In other words, only visited if its not visited. In other words, keep track of visited nodes. Very nice explained.

  • @ChazWinter
    @ChazWinter4 ай бұрын

    We are covering this in class right now, and my class loves this video.

  • @TuanNX87
    @TuanNX872 жыл бұрын

    Please add more algorithms videos like this. Thanks!!

  • @gutzimmumdo4910
    @gutzimmumdo4910 Жыл бұрын

    perfectly explained, intuitive well ordered and perfect example. great work

  • @mdkhaledhossain996
    @mdkhaledhossain99611 ай бұрын

    this is just mindblowing, keep creating content like this, you will reach to million subscriber within no time

  • @tyronefrielinghaus3467
    @tyronefrielinghaus3467 Жыл бұрын

    Also...a great voice too. Very clear.

  • @minhlaburninghihi5627
    @minhlaburninghihi56273 жыл бұрын

    Coolest video on Dijkstra's ever. So easy to understand, thank you so much.

  • @DC-zb7uf
    @DC-zb7uf2 жыл бұрын

    Best video explanation out of them all, thanks !

  • @stith_pragya
    @stith_pragya4 ай бұрын

    Thank You So Much for this wonderful video...........🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

  • @minhucbui9566
    @minhucbui9566 Жыл бұрын

    Brilliant explanation. Thank you!

  • @Gooloso98
    @Gooloso983 жыл бұрын

    nice video, especially the negative values and heap