Geodesic
A forbidden-suborder characterization of binarily-composable diagrams in double categories
Theory and applications of categories, Tome 1 (1995), pp. 146-153

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Tilings of rectangles with rectangles, and tileorders (the associated double order structures) are useful as ``templates'' for composition in double categories. In this context, it is particularly relevant to ask which tilings may be joined together, two rectangles at a time, to form one large rectangle. We characterize such tilings via forbidden suborders, in a manner analogous to Kuratowski's characterization of planar graphs.

Classification : 18D05, 05B45.
Keywords: Double categories, tileorders, binary composition, Hasse diagrams, forbidden suborders. 
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     title = {A forbidden-suborder characterization of binarily-composable diagrams in double categories},
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     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a6/}
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Robert Dawson. A forbidden-suborder characterization of binarily-composable diagrams in double categories. Theory and applications of categories, Tome 1 (1995), pp. 146-153. http://geodesic.mathdoc.fr/item/TAC_1995_1_a6/