How to draw Cayley Graph || Group Theory

Let's talk about Cayley Graphs and learn how to draw them. They are very powerful tools in Group Theory.
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[@srinjoychaudhuri32]

Thank u sir...to give us the idea of some higher mathematics thinking....#keep on making these great videos...😊❤️

[@Cheenta]

Thank you

[@tutorpedia123]

Great sir thanks a lot

[@rianfebrianumbara2917]

thank you for the explanation

[@thinkingpi]

As always, great work sir. Keep on making these wonderful videos. Also sir.
I have a question, Dose given any graph we can find some sort for group, or only some types of graph can do? Thanks in advance

[@Cheenta]

Great question. Not all graphs will works. For instance the graph should be connected.... and there are other conditions.

[@thinkingpi]

@@Cheenta Thank you sir. I will definitely try to learn more about it. Again Thanks for this nice video.

[@nvijaya2281]

Very much clear explanation

[@rubikumari8746]

Thank u sir

[@muktiacharya6642]

Nice explaining to draw a Cayley graph on G whose elements are reduced residue class of 8. Edges are created taking the elements of generating set. Let me take the vertices as the set { 1,2,3,4,5,6,7 }. How to draw the Cayley graph on this set ?

[@AbrahamHoffman]

According to the video, you have to choose a generating set. Once you have that generating set, perform the "star" operation x -> x*s. Then you draw an edge from the vertex 'x' to the resultant 'x*s'.

[@archismandas7760]

What is the operation ?

[@archismandas7760]

First you need to have a binary operation,
For the set you gave...
If you add the number 0 to the set and define a binary operation where you add two numbers in the given set and divide the sum by 8 and write the remainder
The set along with that binary operation becomes a group.
In that case the generating sets are {1} or {3} or {5} or {7}.

[@yossilonke4529]

What you described is the undirected Cayley graph

[@Cheenta]

True

[@vijigeorge8672]

THANK YOU

[@Cheenta]

Thanks for watching!

[@user-dp8gt2vh7k]

pleas van you help me prove operation in cayley graph no paralle

[@Arseus]

Is HCF common? I’ve always called it GCD

[@Cheenta]

Yes in some countries like India, HCF is used. In other countries GCD is more common.