Comments on the Golden Partition Conjecture
Keywords:Poset, Linear extension, 1/3--2/3 Conjecture, Golden Partition Conjecture
AbstractWe generalize the result of Zaguia that 1/3--2/3 Conjecture is satisfied by every N-free finite poset which is not a chain: we show a wider class of posets which satisfy the Golden Partition Conjecture. We generalize the result of Pouzet that 1/3--2/3 Conjecture is satisfied by every finite poset with a non-trivial automorphism: we show that such posets satisfy the Golden Partition Conjecture.
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