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math.CO2010
On the t-Term Rank of a Matrix
Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer +1
For t a positive integer, the t-term rank of a (0,1)-matrix A is defined to be the largest number of 1s in A with at most one 1 in each column and at most t 1s in each row. Thus th…
math.CO2010
Adjacent q-cycles in permutations
Richard A. Brualdi, Emeric Deutsch
We introduce a new permutation statistic, namely, the number of cycles of length consisting of consecutive integers, and consider the distribution of this statistic among the p…