Geodesic
Homogeneous 3-dimensional permutation structures
Samuel Braunfeld1
1Rutgers Univeristy
The electronic journal of combinatorics, Tome 25 (2018) no. 2
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We provide a classification of the homogeneous 3-dimensional permutation structures, i.e. homogeneous structures in a language of 3 linear orders, partially answering a 2002 question of Cameron. We also arrive at a natural description of all known homogeneous finite-dimensional permutation structures by modifying the language used in the construction from [Samuel Braunfeld, Electronic Journal of Combinatorics, 2016], completing the catalog begun there.
DOI : 10.37236/7506
Classification : 03C13, 03C50, 05A05
Mots-clés : permutation structure, homogeneous structure, linear order

Samuel Braunfeld  1

1 Rutgers Univeristy 
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Samuel Braunfeld. Homogeneous 3-dimensional permutation structures. The electronic journal of combinatorics, Tome 25 (2018) no. 2. doi: 10.37236/7506

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