Intro to Hypercube Graphs (n-cube or k-cube graphs) | Graph Theory, Hypercube Graph

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  • เผยแพร่เมื่อ 21 ต.ค. 2024

ความคิดเห็น • 96

  • @WrathofMath
    @WrathofMath  หลายเดือนก่อน +1

    Rapping 17,000 Digits of Pi, if that's your thing: th-cam.com/video/Qt4pdX-w2JA/w-d-xo.html

  • @giatoyama
    @giatoyama หลายเดือนก่อน +55

    Please use this knowledge to solve the kn-44 hypercube blueprint cypher 🙏

    • @WrathofMath
      @WrathofMath  หลายเดือนก่อน +31

      Soon as I 100% Math Patrol for gameboy advance I'll check out this Call of Duty easter egg

    • @BananaArm
      @BananaArm หลายเดือนก่อน +6

      @@WrathofMaththis is where the fun begins

    • @Daximus7
      @Daximus7 9 วันที่ผ่านมา

      @@WrathofMathjust curious did you ever get a second to check out the hypercube Easter egg? I know you got more important things you’re working on. Just checking old leads.

  • @CarlosD7
    @CarlosD7 หลายเดือนก่อน +23

    KN-44 🤯

  • @benmack8746
    @benmack8746 หลายเดือนก่อน +62

    Who else is here after the kn-44 hypercube Cypher was discovered? 😂

    • @maxthebabe
      @maxthebabe หลายเดือนก่อน +1

      ME! 😂😂

    • @giatoyama
      @giatoyama หลายเดือนก่อน

      LMAOOO

    • @trulysavage9979
      @trulysavage9979 หลายเดือนก่อน

      Bro this is insane😂

    • @brandonn1849
      @brandonn1849 หลายเดือนก่อน +1

      My childhood is finally coming to an end 😌

    • @giatoyama
      @giatoyama หลายเดือนก่อน +1

      @@brandonn1849 not yet, half the revelations ciphers still unsolved

  • @siddharthasingh1880
    @siddharthasingh1880 4 ปีที่แล้ว +8

    I am wondering why do we have such a low no of likes for such a fantastic explaination of hypercube graph. I am amazed with how easily it explains it all.

  • @oranghue6866
    @oranghue6866 หลายเดือนก่อน +16

    I ask of you to assist the COD Zombies community in solving the KN-44 hypercube cypher.

  • @anaghgupta9348
    @anaghgupta9348 4 ปีที่แล้ว +13

    Really loved how beautifully you described each and everything in the video. Big ups for your content bro!

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thanks so much Anagh! Glad you found the explanations clear!

  • @ScriptureResearchCentre
    @ScriptureResearchCentre หลายเดือนก่อน +12

    Anyone here from Skite innit's video on THE IMPOSSIBLE EASTER EGG FINALLY FOUND! JASON BLUNDELL'S 8 YER SECRET (Black Ops 3 Zombies). I wish one of these mathematicians would look into it.

  • @mubasshirkhan9449
    @mubasshirkhan9449 10 หลายเดือนก่อน

    I was struggling in this topic, thank you so much , you really explained it so beautifully... 👍

    • @WrathofMath
      @WrathofMath  10 หลายเดือนก่อน

      My pleasure 😊

  • @monettedyar2837
    @monettedyar2837 4 ปีที่แล้ว

    Learned a lot. My instructor's explanation didn't come close to this quality of instruction. Thank you so much!

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thanks for watching, Monette; I am super glad it helped!

  • @mounikathogiti7213
    @mounikathogiti7213 2 ปีที่แล้ว +2

    Really helpful and clearly explained. Thank you!

    • @WrathofMath
      @WrathofMath  2 ปีที่แล้ว

      My pleasure! Thanks for watching and check out my graph theory playlist for more! th-cam.com/play/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH.html Let me know if you have any questions!

  • @priyanshinahar5490
    @priyanshinahar5490 3 ปีที่แล้ว

    Thank you so much for the amazing video ❤️
    Love from India 🇮🇳

  • @callofdutywii1
    @callofdutywii1 หลายเดือนก่อน +4

    Help us WrathOfMath you’re our only hope to solve the KN44 cipher

  • @shraddharoy9662
    @shraddharoy9662 3 ปีที่แล้ว +1

    🙋 You are a Great Guru🙏

  • @mugiwara-no-luffy
    @mugiwara-no-luffy 2 ปีที่แล้ว

    so well explained

    • @WrathofMath
      @WrathofMath  2 ปีที่แล้ว

      Thank you, I do my best!

  • @brandonn1849
    @brandonn1849 หลายเดือนก่อน

    “You know how long I’ve been waiting for this…”

  • @adriasorensen2249
    @adriasorensen2249 2 ปีที่แล้ว

    2^0 =1 which could stand for the number of points in a dimension. For example 2^0=1, so 0 is the dimension and 1 is the point in the zeroth dimension. Then, 2^1=2 which would be the 1st dimension that has 2 points on a line. 2^2=4 which equals the 4 points on a 2D square for the second dimension. 2^3=8 which would be the 8 points on a 3d cube in the third dimension. 2^4 = 16 which would be the 16 vertices on a 4 dimensional cube or tesseract....then, a 5d cube has 32 vertices (2^5=32). etc
    You can also connect binary points, music note lengths, and physics light colors going in opposite directions for the dimensions of a 3d cube to connect them all.

  • @hassanahmed8216
    @hassanahmed8216 3 ปีที่แล้ว

    So much helpful! Great explaination

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว

      Thank you, glad it helped!

  • @iddrisuibrahimnyaba8872
    @iddrisuibrahimnyaba8872 7 หลายเดือนก่อน

    this tutorial is really helpful

  • @godingly2
    @godingly2 3 ปีที่แล้ว +4

    Thank you very much, very helpful. I'm interested in what software / app you use for writing, it looks great.

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว

      You're very welcome, thanks a lot for watching and I am glad you think it looks great! This is recorded on "Notability" for iPad Pro.

  • @rahulshah6119
    @rahulshah6119 4 ปีที่แล้ว +1

    Another great video! Can we see more hypercube videos? Good videos on De Bruijn sequence with eulerian tours and proving hypercube proofs with induction are especially hard to find ;)

  • @sayakbanerjee9990
    @sayakbanerjee9990 ปีที่แล้ว

    nice one completely understood

    • @WrathofMath
      @WrathofMath  ปีที่แล้ว +1

      Awesome - thanks for watching!

  • @sophiecs9668
    @sophiecs9668 4 ปีที่แล้ว

    super clear and helpful. Thank you so much!!!!!

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      You're very welcome, I'm glad it helped!

  • @loszhor
    @loszhor 4 ปีที่แล้ว +1

    Thank you for the information.

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      You're welcome, thanks for watching!

  • @ARADHAKCA
    @ARADHAKCA 2 ปีที่แล้ว

    well explained. thank you!

    • @WrathofMath
      @WrathofMath  2 ปีที่แล้ว

      My pleasure! Thanks for watching and check out my graph theory playlist for more! th-cam.com/play/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH.html

  • @brandonn1849
    @brandonn1849 หลายเดือนก่อน +2

    Please help us solve the call of duty black ops 3 impossible Easter egg. The zombies community needs you!!!!!

  • @zafer8917
    @zafer8917 4 ปีที่แล้ว

    Very nice drawing, thanks for your time!

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thanks for watching!

  • @peterburbery2341
    @peterburbery2341 2 ปีที่แล้ว

    Can you do a video on the Chinese postman problem in graph theory?

  • @taniadevi12
    @taniadevi12 3 ปีที่แล้ว

    thanks it was really very much helpful

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว

      So glad it helped, thanks for watching Tania! If you're looking for more graph theory, check out my playlist! th-cam.com/play/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH.html

  • @aidaemrani4338
    @aidaemrani4338 4 ปีที่แล้ว +1

    honestly, I enjoyed it👌

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thank you for watching and I am glad you enjoyed the lesson!

  • @duelz9366
    @duelz9366 4 ปีที่แล้ว

    Love these videos bro

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thanks so much! I'm glad you're finding them useful!

  • @zoasis7805
    @zoasis7805 3 ปีที่แล้ว +1

    Thanks for this!
    Question: How do we prove sum(deg-(v)) = sum(deg+(v)) = |E| for directed graphs?

  • @vipulsolanki1611
    @vipulsolanki1611 3 ปีที่แล้ว +2

    Your way is nice ❤️

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว +1

      Glad it helped! Thanks a lot for watching, and if you're looking for more graph theory, check out my graph theory playlist! th-cam.com/play/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH.html

  • @НикитаПупкин-х5щ
    @НикитаПупкин-х5щ 4 ปีที่แล้ว

    Hi !
    I have a question to the definition of the Hypercube . Do you know how you can formally and cleanly define Q(n) = (Vn ,En)??Because we have some task at the school , where we define it as reсursively , like<
    For n e N, the hypercube Qn is defined as follows:
    1) Q(0) is a single vertex ( 1 point )
    2) Qn+1 is obtained by taking two disjoint copies of Qn and linking each vertex in one copy of Qn to the corresponding vertex in the other copy of Qn.
    *We could also obtain Qn by labeling 2^n vertices with distinct n-bit binary strings, and by connecting those vertices by edges whose strings differ in exactly one bit >
    And they want have for this 2 version formal and cleanly definition... If you have some idea what does it mean, I'll be very grateful to you ((:

  • @رِهامعدنانحنونأبوالهيل
    @رِهامعدنانحنونأبوالهيل 3 ปีที่แล้ว

    Sir .. can you help me. prove that the n_cube graph Q sub n(n>=2 ) is 4_partite graph of order 2^n

  • @peterburbery2341
    @peterburbery2341 2 ปีที่แล้ว

    Can you do a video on the eigensystems of graph's and their matrix representation?

  • @alirazakhan2520
    @alirazakhan2520 4 ปีที่แล้ว

    Thanku for such an AmZinG explanation
    God bless U

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      It is my pleasure, and thanks so much for watching! Let me know if you ever have any questions!

    • @alirazakhan2520
      @alirazakhan2520 4 ปีที่แล้ว

      @@WrathofMath yup sir I have question that,
      How to draw spanning trees of Cube Q3?
      And thanks to U sir for replying me

    • @alirazakhan2520
      @alirazakhan2520 4 ปีที่แล้ว

      @@WrathofMath sir please answer the above question My exams are quite near

  • @shruthiselvakumaran88
    @shruthiselvakumaran88 2 ปีที่แล้ว

    do we need to add 0 and 1 in the left side of the binary number? or is it okay to add them in the right side?

  • @ramanibalaji7192
    @ramanibalaji7192 ปีที่แล้ว

    Hi sir, then can we relate hyper graphs and hamming graphs as same?

  • @arjumandmujassim371
    @arjumandmujassim371 4 ปีที่แล้ว

    sir, could you please make videos on the De Bruijn network, Kautz network, and circulant network

  • @ethanhunt8989
    @ethanhunt8989 4 ปีที่แล้ว +1

    can you explain crossing number of Hypercube as well

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว +1

      Thanks for watching and for the request! I'm not super familiar with crossing numbers besides their definition, but the crossing number of the hypercube is not known in general, so far as I am aware. Were you hoping to just see a few examples?

    • @ethanhunt8989
      @ethanhunt8989 4 ปีที่แล้ว +1

      @@WrathofMath Thanks for reply really appreciate it !!
      Why crossing number of hypercube is not known can you explain a little bit.
      Examples will be great it will clear my doubts :)

  • @jeremycai5870
    @jeremycai5870 4 ปีที่แล้ว

    Great video

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thanks a lot! I'm glad it was clear and thank you for watching!

  • @justanaverageguy4739
    @justanaverageguy4739 3 ปีที่แล้ว

    Thank you so much god bless you

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว

      My pleasure, thank you for watching!

  • @mrigankomandal710
    @mrigankomandal710 4 ปีที่แล้ว

    Nice outro too! Just checked his page. Nice music. Can you tell me which one is the one you added?

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว +1

      Thanks for watching and I'm glad you checked out his music, it is my favorite music in the world and I'm happy to spread it! The song I used in this outro is called "Out of It" Here is a link: vallow.bandcamp.com/track/out-of-it

  • @preranamayekar6024
    @preranamayekar6024 2 ปีที่แล้ว

    How to find hamiltonin cycle in Q4

  • @prafulrane9037
    @prafulrane9037 4 ปีที่แล้ว

    Keep going sir 😘

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thank you for watching and I will! Plenty more lessons on the way!

  • @sumitrachowdhury3651
    @sumitrachowdhury3651 3 ปีที่แล้ว

    Thanks a lot

    • @WrathofMath
      @WrathofMath  3 ปีที่แล้ว +1

      No problem, thanks for watching! If you're looking for more graph theory, be sure to check out my graph theory playlist! th-cam.com/play/PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH.html

  • @syamkrishnan99
    @syamkrishnan99 5 ปีที่แล้ว

    Thank you very much ....😘😘

    • @WrathofMath
      @WrathofMath  5 ปีที่แล้ว +1

      You're very welcome, I do my best! :) Thanks for watching!

  • @brianna8587
    @brianna8587 2 ปีที่แล้ว

    how come you didnt connect 110 and 011 in Q2?

    • @brianna8587
      @brianna8587 2 ปีที่แล้ว

      order of bits doesnt matter ?

    • @brianna8587
      @brianna8587 2 ปีที่แล้ว

      if it didnt, then how come you didnt connect 000 and 111?

  • @meliodas.1108
    @meliodas.1108 4 ปีที่แล้ว

    Thanks 😊

    • @WrathofMath
      @WrathofMath  4 ปีที่แล้ว

      Thank you for watching! :)

  • @slimeyguy8805
    @slimeyguy8805 หลายเดือนก่อน

    Solve our easter egg!

  • @amithhdise20a4
    @amithhdise20a4 2 ปีที่แล้ว

    I got Q4

  • @PunmasterSTP
    @PunmasterSTP 5 หลายเดือนก่อน

    Anyone ever see the movie Hypercube? Or the vastly superior first movie, Cube?

  • @osamakamal28620
    @osamakamal28620 4 ปีที่แล้ว

    Tell me Q4 cube graph

  • @ROFLSTOMPERIWNL
    @ROFLSTOMPERIWNL หลายเดือนก่อน

    hmmmm