An example of Tateno disproving conjectures of Bonato-Tardif, Thomasse, and Tyomkyn

DOI10.1007/s12188-023-00270-0zbMath1530.05028arXiv2205.14679OpenAlexW4388127845MaRDI QIDQ6186138

Atsushi Tateno, Robert E. Woodrow, Davoud Abdi Kalow, Claude Laflamme

Publication date: 9 January 2024

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.14679

zbMATH Keywords

posetsiblingsequimorphy

Mathematics Subject Classification ID

Partial orders, general (06A06) Trees (05C05) Combinatorics of partially ordered sets (06A07) Structural characterization of families of graphs (05C75) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

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• Twins of rayless graphs
• Mutually embeddable graphs and the tree alternative conjecture
• A proof of the rooted tree alternative conjecture
• Fixed elements of infinite trees
• Invariant subsets of scattered trees and the tree alternative property of Bonato and Tardif
• The structure of rayless graphs
• Self-embeddings of trees
• Equimorphy: the case of chains
• Automorphisms and endomorphisms of infinite locally finite graphs
• COUNTING SIBLINGS IN UNIVERSAL THEORIES
• Siblings of an $\aleph_0$-categorical relational structure

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