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See the two posets in the picture. Find the height and width of each, then a...

See the two posets in the picture.

Find the height and width of each, then a chain partitioning and an antichain partitioning using the minimum number of possible chains/antichains for each.

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Answer #1

We try to name the 1st graph as the following

1st Graph. Height → Here the lang est chain is. Luis Mious, , 64,02 whose height is 6 € Ang (maximum Width Here the largest a

We name the 2nd graph and solve the following

2nd bh Height Here the longest chain is, (maximum) 10., O, U5, 0%, 0%, 0, 0, So height is Here no antichains are present, So

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