Samuel Braunfeld - The undecidability of joint embedding and joint homomorphism for hereditary graph classes

dmtcs:5325 - Discrete Mathematics & Theoretical Computer Science, December 13, 2019, Vol. 21 no. 2, Permutation Patters 2018 - https://doi.org/10.23638/DMTCS-21-2-9
The undecidability of joint embedding and joint homomorphism for hereditary graph classesArticle

Authors: Samuel Braunfeld ORCID

We prove that the joint embedding property is undecidable for hereditary graph classes, via a reduction from the tiling problem. The proof is then adapted to show the undecidability of the joint homomorphism property as well.

Comment: 17 pages; DMTCS version; initial version split


Volume: Vol. 21 no. 2, Permutation Patters 2018
Published on: December 13, 2019
Accepted on: November 20, 2019
Submitted on: March 29, 2019
Keywords: Mathematics - Logic, Mathematics - Combinatorics

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