Introduction to Coloring Graphs & Chromatic Number

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  • Опубликовано: 15 дек 2024

Комментарии • 64

  • @christianmassuh5985
    @christianmassuh5985 7 лет назад +9

    Amazing. Simple and straightforward explanation. Thank you!

    • @MzMath
      @MzMath  7 лет назад

      Thanks for the positive feedback! :-)

  • @deannedejella9782
    @deannedejella9782 3 года назад

    A friend asked me to help her answer exercises about this topic, which I never encountered before. And after watching this video, I can totally answer those exercises sooo thank you!

    • @MzMath
      @MzMath  3 года назад +1

      That’s awesome! 👍 👏

  • @apofundraiser5382
    @apofundraiser5382 4 года назад +4

    one of the vertex points has degree 4, not three. it doesn't change the chromatic number, but it does change the coloring that is shown in the video

    • @MzMath
      @MzMath  4 года назад

      Thanks, Julia! I need to fix that. :-)

  • @clareysart2218
    @clareysart2218 3 года назад +1

    You literally saved me for my online class. I learned a lot from this 3min. vid. rather than my 1 hour class lmao. Thank you.

    • @MzMath
      @MzMath  3 года назад

      I'm so glad!

  • @bone5200
    @bone5200 3 года назад

    simple and quick, and you provide more than enough information to understand the topic.

    • @MzMath
      @MzMath  3 года назад +1

      Thanks! I appreciate the positive feedback.

    • @bone5200
      @bone5200 3 года назад

      @@MzMath i really appreciate your help! before this video, i was watching ten minute long videos that didn't cover the topic as well as you did. Keep it up!

  • @maheswaran6628
    @maheswaran6628 3 года назад +1

    Thankyou so much the content is short and perfect :)

    • @MzMath
      @MzMath  3 года назад +1

      You're very welcome! Thanks for watching! 👍😁

  • @angelalocke7715
    @angelalocke7715 5 лет назад

    Angela Locke
    MGF 1107 21Z (Fall 2019)
    Watching the coloring of the vertex' starting at 1:42 was very helpful to understand. Especially when you explained that "the vertex of the highest degree is degree 5, so we'll start by coloring that one." Thank you for the video to visually connect the definitions to better understand.

  • @eselpi01
    @eselpi01 2 года назад

    thank you so much! this was very easy to understand, so simply explained :)

    • @MzMath
      @MzMath  2 года назад

      You're very welcome!

  • @lamha8801
    @lamha8801 4 года назад +1

    You better be my prof for this class! It took me less than 3 minutes to understand the whole concept compare to my prof with 30 minutes to get a mess!

    • @MzMath
      @MzMath  4 года назад

      Thanks for watching and for the positive feedback!

  • @robertp2552
    @robertp2552 3 года назад

    Yay! I can answer chromatic questions with confidence now! :D

    • @MzMath
      @MzMath  3 года назад

      Great! That's awesome! 👍😁

  • @johnalvarez629
    @johnalvarez629 5 лет назад

    Julieth Alvarez
    MGF1107 21Z
    Fall 2019
    Watching this video helped understand the coloring of graph a lot easier because working this section I remembered having difficulty figuring it out. The quote I chose from this video is "Choose a vertex with the highest degree, and color it. Use the same color to color as many vertices as you can without coloring vertices joined by an edge of the same color."

  • @OscarMartinez-nt6zn
    @OscarMartinez-nt6zn Год назад

    Thanks for this explanation Ms Hearn, I have a question, the step 1 when start coloring a graph you said we have to choose the vertex with the highest degree, why can't we choose a random vertex without taking into account the vertex degree? I ask because I've watched some videos as the rule is starting coloring the vertex with the highest degree but I don't get why the reason is.

    • @MzMath
      @MzMath  Год назад

      What a great question!
      I have responded with a video. ruclips.net/video/rPo-8YsOFII/видео.html
      Thanks for watching!

  • @cristinejoydelara4057
    @cristinejoydelara4057 3 года назад

    Thank you so much! You helped me a lot! Coz I'm struggling with how to assign colors correctly. These steps help me somehow.

    • @MzMath
      @MzMath  3 года назад

      I am so happy to hear that it helped! Thank you for watching. :-)

  • @samikuikka2193
    @samikuikka2193 5 лет назад

    This video helped me a lot. Very well done.

  • @HamsaShehadeh
    @HamsaShehadeh 3 года назад

    how about the point that dont connect to any other point? what should i color it? a different color that no point got it? or same as any point color?

    • @MzMath
      @MzMath  3 года назад +1

      Great question! If it’s not adjacent to any other point, you can use any of the existing colors. Don’t use a new color.

    • @HamsaShehadeh
      @HamsaShehadeh 3 года назад

      @@MzMath thank you! ❤️

  • @ahmettunaergul9598
    @ahmettunaergul9598 11 месяцев назад

    that was soo clear thank you so much

  • @d.deydrei2369
    @d.deydrei2369 8 месяцев назад

    one vertex in the example has a degree of 4, one located in the lower right hand side

    • @MzMath
      @MzMath  8 месяцев назад

      Thanks! Yes, you are right. I just wish there were a way to update it without taking the video down and starting over.

  • @amaitra
    @amaitra 4 года назад

    Very clear explanation!

    • @MzMath
      @MzMath  4 года назад

      Glad you think so!

  • @МіланаЖугаєвич
    @МіланаЖугаєвич 2 года назад

    Hi! Thank you very much for this video! I would like to use it in my unversity works, but i really need to get this algorithm`s name. Could you help me please?

    • @MzMath
      @MzMath  2 года назад

      That's a good question. I am not familiar with the name of the algorithm.

  • @jennichols7849
    @jennichols7849 4 года назад

    Jenniffer Nichols
    MGF 1107 @ 9:30 MF
    Coloring graphs and identify the chromatic

  • @redrose5950
    @redrose5950 3 года назад

    Thank you Mam for this excellent lecture

    • @MzMath
      @MzMath  3 года назад

      You at very welcome! ☺️ Thanks for watching!

  • @sarahkimble4118
    @sarahkimble4118 6 лет назад

    sarah kimble
    MGF1107 fall 2018
    well explained! actually enjoyed this part of the class. pretty cool to know that coloring maps is used for the study of cell phone traffic.

  • @courtneydehbi5757
    @courtneydehbi5757 5 лет назад

    Courtney D.
    MGF1107 21Z
    Fall 2019
    "The coloring of graphs is used to sove practical problems such as:
    Scheduling problems in management science"
    I wish I saw this before the test, glad I get it now for the final though!

  • @gabrieltremblay372
    @gabrieltremblay372 3 года назад

    Hi, I'm a math teacher and I'm currently on this curriculum. I've noticed that this technique does not always work. I have a specific graph that can give me 4 or 3 depending which one is colored. Maybe I'm missing something. Would you like me to send it to you?

    • @MzMath
      @MzMath  3 года назад

      Sure! I'd love to take a look. I am actually working on a chapter of Graph Theory right now. This would be helpful. You can email me at ms.hearn.math@gmail.com.

  • @adib.maket.
    @adib.maket. Год назад

    IN 2:19 THERE IS A BIG MISTAKE:
    Second point from bottom right
    Degree is 4, so you should choose IT as the second coloring!!!!!!!

    • @MzMath
      @MzMath  Год назад

      I agree. One of these days I will fix it. :-)

  • @bayleedlouhy4066
    @bayleedlouhy4066 5 лет назад

    Baylee Dlouhy
    MGF 1107 21Z (Fall 2019)
    "If you experiment with different colorings, you will find it's chromatic number is 3 as it appears to be in the graph above."

  • @ebrahemhesham589
    @ebrahemhesham589 4 года назад

    Oh my god you are awesome god bless u iam thankful from my heart to you thanks very very much for that easy and understandable explanation you are incredible

    • @MzMath
      @MzMath  4 года назад +1

      So nice of you! I am glad it helped. You are very welcome. :-)

  • @vambire02
    @vambire02 4 года назад

    Thank you. This helped me solve a challenge on CodeWars :)

    • @MzMath
      @MzMath  4 года назад +1

      That's awesome! I am glad to hear it. Way to go!

  • @petrustefanescu5842
    @petrustefanescu5842 3 года назад

    Thank you!

    • @MzMath
      @MzMath  3 года назад

      You're welcome! Thanks for watching! 👍😁

  • @bagtasosmikaela5402
    @bagtasosmikaela5402 3 года назад

    THANK U SO MUCH

  • @savannagood1617
    @savannagood1617 5 лет назад

    Savanna Goodwin
    MGF1107 21Z
    Fall 2019
    "All of the remaining verticies are joined to those same red verticies by the same edge"

  • @xyzzyx9357
    @xyzzyx9357 4 года назад

    Thanks

    • @MzMath
      @MzMath  4 года назад

      Welcome! Thank you for watching!

  • @dashaunmalone2309
    @dashaunmalone2309 5 лет назад

    Dashaun Malone
    MGF1107 21Z
    Fall 2019
    "Anyone of them will work. I pick this one, and I'll color it blue."

  • @aaronrhodes8535
    @aaronrhodes8535 5 лет назад

    William Aaron Rhodes
    MGF 1107 217 (Fall 2019)
    "The chromatic number of a graph is the least number of colors needed to make a coloring.
    Thank you for sharing!

  • @nj_9053
    @nj_9053 2 года назад

    😃👍

    • @MzMath
      @MzMath  2 года назад +1

      Thanks!

  • @vaibhavhandge2311
    @vaibhavhandge2311 4 года назад

    Can I have your insta I'd??

    • @MzMath
      @MzMath  4 года назад

      Hi! I don't have an Instagram account. Thanks for watching!

    • @vaibhavhandge2311
      @vaibhavhandge2311 4 года назад

      @@MzMath I need to contact you !

    • @MzMath
      @MzMath  4 года назад

      You can email me if you prefer. ms.hearn.math@gmail.com