Question 10. For each of the two distinct (up to isomorphism) posets in Figure 6.4, find the width w, an antichain of size w, and a partition of the ground set into w chains. 123,57 2,5251 04 210 23.111 $57,3) 25.4 3.71 21 32 221 Figure 6.4.: CONSTRUCTING POSETS
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Transcribed Image Text: 10. For each of the two distinct (up to isomorphism) posets in Figure 6.4, find the width w, an antichain of size w, and a partition of the ground set into w chains. 123,57 2,5251 04 210 23.111 $57,3) 25.4 3.71 21 32 221 Figure 6.4.: CONSTRUCTING POSETS
More Transcribed Image Text: 10. For each of the two distinct (up to isomorphism) posets in Figure 6.4, find the width w, an antichain of size w, and a partition of the ground set into w chains. 123,57 2,5251 04 210 23.111 $57,3) 25.4 3.71 21 32 221 Figure 6.4.: CONSTRUCTING POSETS
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(1). Consider the poset given by Hane diagram in Fig(1).Here width =3Ankichain of size 3 is {[3,7],[2,5],[2,3,11]}quad Poret P,Gamma_(g)(1)Particion of the ground set into chains{:[={{[3]","[3","7]","[2","3","5","7]}","{[2]","[2","5]","[2","5","25]}],[{[2","3","11]}]:}(2) Consider the poset Wrdth =3 Antichain of size 3={10,66,21}Partitión of ground set in t_(0) ... See the full answer