The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders
Mathematics and Natural Sciences
© 2020, Springer Nature B.V. Let λ ∈ (0, ½). We prove that, for ordered sets P of order dimension 2 and for interval orders, the ratio of the number of automorphisms to the number of endomorphisms is asymptotically bounded by 2−∣P∣λ. The key to the proof is to establish this bound for certain types of lexicographic sums.
(2020). The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders. Order.
Available at: https://aquila.usm.edu/fac_pubs/18276