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A forbidden-suborder characterization of binarily-composable diagrams in double categories
Theory and applications of categories, Tome 1 (1995), pp. 146-153 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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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     author = {Robert Dawson},
     title = {A forbidden-suborder characterization of binarily-composable diagrams in double categories},
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     year = {1995},
     volume = {1},
     language = {en},
     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/