The Fixed Point Property for Posets of Small Width
Jonathan David Farley
Abstract
The fixed point property for finite posets of width 3 and 4 is studied in terms of forbidden retracts. The ranked forbidden retracts for width 3 and 4 are determined explicitly. The ranked forbidden retracts for the width 3 case that are linearly indecomposable are examined to see which are minimal automorphic. Part of a problem of Niederle from 1989 is thus solved.
Create a lesson
Related papers
Combinatorics of hyperplane arrangements and Witten zeta function at the origin
Kam Cheong Au, Kazuhiro Onodera
Proof of the Pach-Tardos conjecture
Lior Gishboliner, Xiangyu Li
Longest cycles intersect linearly in highly connected graphs
Jie Ma, Bo Ning, Ziyuan Zhao
Cutting a convex body into fat parts and approximating Euclidean distance by graph distances
János Pach, Gábor Tardos
A counterexample to the quantum Hedetniemi conjecture
Julius A. Zeiss
Schrijver-Delsarte rigidity in association schemes and undecidability of quantum graph homomorphism
Lorenzo Ciardo, Iris Hebbeker, Gideo Joubert et al.