Flvx's blog

By Flvx, history, 5 weeks ago, In English

Problem Statement: this Is there a way to prove that if we are not able to connect the vertices to 1 in the greedy order that has been suggested, then there exists no other answer?

Thanks.

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5 weeks ago, # |
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5 weeks ago, # |
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Let's call sum of Ak as Sk

If we can connect (i,j) (i,j != 1), it means Si + Sj >= i * j * c

If Si > Sj, then Si + Si >= i * j * c, Si >= i * (j/2) * c

j/2 >= 1, so Si >= i * 1 * c, We can connect (i, 1) and (1, j).