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anonymous
 5 years ago
Does there exist a simple graph with 6 vertices of degree 1,2,2,4,5,5? if not, why? and if there is how do I draw it!?
anonymous
 5 years ago
Does there exist a simple graph with 6 vertices of degree 1,2,2,4,5,5? if not, why? and if there is how do I draw it!?

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0omg graph theory is cool let me think

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0have you ever heard of the degree sequence algorithm

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Write it in decreasing order

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Should be no, since 2 of the vertices are connected to every other vertex. Why is this a contradiction?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0(5,5,4,2,2,1) since 5 is the first number, the algorithm says to remove it and take 1 away from the 5 numbers after

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0yes you are correct bond

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0rings a bell myin, go with that one for the proof, but it's good to understand why

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.04 is the first number now take 1 away from the four numbers after is and you get (2,0,0,1) but you cant have a vertice with degree 1

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so there is no simple graph with (5,5,4,2,2,1)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0it is good to understand why, but I never knew why lol i don;t think

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I just meant for this problem which has a simple contradiction, I don't think I could do it if it got any more complex.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know if the algorithm always works? I don't remember.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0as long as you dont have mixed graphs

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Also, sorry fort butting in :[

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0why? remember i like your number theory style so i think you are cool
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