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- W87255518 abstract "We generalize the concept of pattern occurrence in permutations, words or matrices to that in n-dimensional objects, which are basically sets of (n + 1)-tuples. In the case n = 3, we give a possible interpretation of such patterns in terms of bipartite graphs. For zero-box patterns we study vanishing borders related to bipartite Ramsey problems in the case of two dimensions. Also, we study the maximal number of 1’s in binary objects avoiding (in two different senses) a zero-box pattern." @default.
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- W87255518 date "2007-01-01" @default.
- W87255518 modified "2023-09-23" @default.
- W87255518 title "On multi-dimensional patterns" @default.
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