[Discrete Mathematics] Graph Coloring and Chromatic Polynomials

[@Blum962]

Best explanation I've seen! Thank YOU!

[@wardotard]

Only because the black shows so well, two thumbs up! Oh, one thumb up. Truthfully, thanks for your videos and everything you have done for me the past year, you rock!!!!

[@avhnfq]

I have an exam today, appreciate it!

[@NeelSandellISAWESOME]

At 1:17, shouldn't {a, b} be in the edge set, not the vertex set?

[@ashishnegi3848]

Best explanation about COLORING.

[@prashannakumar570]

"gonna put black cuz you can see that so well" lololol

[@aliawied2713]

Thats's rude and racist . . . . jk sry

[@nattaphumjampalee206]

Im here cuz tomorrow i have an exam . Im so sick with education and thank you

[@HamsaShehadeh]

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?

[@coxixx]

Hi i have learned so much things from you. thank you so much.from Iran

[@thelastcipher9135]

when counting the chromatic number of a cycle like the one you did near the end of the video, would it make sense if we divide by the number of vertices since we can rotate the cycle n times, where n is the number of vertices, to avoid overcounting...?

[@TrailokyanathSingh]

to the point

[@zolo8887]

Thank you man! from Syria and Sweden. I am a big fan of yous.

[@paulaje9918]

thank you very much for this perfect explanation

[@sweetygupta7552]

well explained sir straight to the concept thanku :)

[@vivekn993]

XD

[@arijitbagchi2197]

very nicely explained!!thanx a ton!

[@deepakvkashyap]

really helpful! thanks a ton! :)

[@iamlazyboy98]

Have a quizz tomorrow about this and I'm not able to access the course materials you saved me

[@sperera5916]

Hello Trev, at 5:48, the sequence is simplified as L!/(L-n)!. What did you derive that simplification? Can you direct me to an online article please. Thank you

[@sperera5916]

Permutation factorials?

[@Trevtutor]

Yes. Exactly the same.

[@amitrajitbose6854]

Very nice demonstration

[@SwapnilSarkar]

Amitrajit Bose Target found!😂

[@amitrajitbose6854]

Swapnil Sarkar Haaahhhahhaa😂😂😂 Haa bhai. Internal er jonno 😷😪

[@SwapnilSarkar]

Amitrajit Bose Same here xD xD

[@sperera5916]

Trev, please explain this. For the path, it is L, L-1, L-1, L-1... but for the K graph, it is L, L-1, L-2, L-3. Why the difference, if we also say L-1, L-1.. this should be fine as L Lambda means number of colors.

[@sperera5916]

I think I started to understand it, K graph, we can't use a color on and off. We can use a color on and off only for paths. For K Graph, if a color is used, that can't be used again ever. I hope I am right.

[@chimesilas]

Hello Trev, you mentioned everything except how to find the chromatic polynomial of an incomplete graph. eg. when 2 edges are missing from a k5 and you are required to find the chromatic polynomial of that graph, please tell me what to do or anyone can please respond. Thanks

[@justanaverageguy4739]

Thank you u saved me

[@improbir]

quality study material

[@chimesilas]

Thank you very much. Am very grateful. God Bless you

[@heilyx]

Thank you! It helped me a lot :)

[@natarajanb1714]

x(k m,1) problems chromatic number 2 is ok but coloring fist vertex1 pink color common vertex green vertex 2 again green. is it correct sir, bcz both common vertex and vertex2 posses same color and connected (adjacent one). plz reply

[@arnabsaha8066]

the videos are very helpfull..!!!

[@futureacid1997]

thank you for this video.. it just helped me a lot :P

[@sourav5562]

Great video :)

[@khmielnitzkythomas8846]

Thank you!

[@federicoagostinelli9149]

When you use K, you mean a "complete" graph, am I right?

[@nvsabhishek7356]

Thank you.

[@timelygoose]

Thank you sir

[@siddhantsingh4870]

Thanks 👍

[@spicy_wizard]

i am interested to know more of graph coloring problem. In Tsinghua University Discrete Math, they dive into this topic way deeper than the fancy intro you have done.

[@santi5655]

thanks, what program do you use?

[@Trevtutor]

Windows Journal

[@santi5655]

Thanks:)

[@rohiljain2838]

c should be lamdaa - 2 cant be same as d. Is that right??

[@faraazj]

I was also confused but after thinking for a while, lambda is actually not a color its the number of colors used so when we reach c we are not using a new color that is the reason why the value doesnt change

[@rohiljain2838]

thanks a ton brother

[@faraazj]

Anytime man

[@abhinavs03]

yo da real MVP mate :)

[@karishmazsweblog5561]

thankuh so mch :) i understood so well ;)

[@visakh_vijayakumar_]

Thanx.. Great video. :-)

[@DiptakBanerjee]

you did not show the actual procedure to obtain a chromatic polynomial for ANY graph. DUH..

[@debusinha9015]

If handwritings were people this ones a hipster