Tournaments and Orders with the Pigeonhole Property
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 397-405
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A binary structure $S$ has the pigeonhole property $\left( P \right)$ if every finite partition of $S$ induces a block isomorphic to $S$ . We classify all countable tournaments with $\left( P \right)$ ; the class of orders with $\left( P \right)$ is completely classified.
Bonato, Anthony; Cameron, Peter; Delić, Dejan. Tournaments and Orders with the Pigeonhole Property. Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 397-405. doi: 10.4153/CMB-2000-047-6
@article{10_4153_CMB_2000_047_6,
author = {Bonato, Anthony and Cameron, Peter and Deli\'c, Dejan},
title = {Tournaments and {Orders} with the {Pigeonhole} {Property}},
journal = {Canadian mathematical bulletin},
pages = {397--405},
year = {2000},
volume = {43},
number = {4},
doi = {10.4153/CMB-2000-047-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-047-6/}
}
TY - JOUR AU - Bonato, Anthony AU - Cameron, Peter AU - Delić, Dejan TI - Tournaments and Orders with the Pigeonhole Property JO - Canadian mathematical bulletin PY - 2000 SP - 397 EP - 405 VL - 43 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-047-6/ DO - 10.4153/CMB-2000-047-6 ID - 10_4153_CMB_2000_047_6 ER -
%0 Journal Article %A Bonato, Anthony %A Cameron, Peter %A Delić, Dejan %T Tournaments and Orders with the Pigeonhole Property %J Canadian mathematical bulletin %D 2000 %P 397-405 %V 43 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-047-6/ %R 10.4153/CMB-2000-047-6 %F 10_4153_CMB_2000_047_6
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