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The length of an <i>s</i>-increasing sequence of <i>r</i>-tuples
Abstract We prove a number of results related to a problem of Po-Shen Loh [9], which is equivalent to a problem in Ramsey theory. Let a = ( a 1 , a 2 , a 3 ) and b = ( b 1 , b 2 , b 3 ) …