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Subdirect sums of P(P0)-matrices and totally nonnegative matrices

✍ Scribed by Ting-Zhu Huang; Gu-Fang Mou; Gui-Xian Tian; Zhongshan Li; Di Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
148 KB
Volume
429
Category
Article
ISSN
0024-3795

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Let s, t, m, n be positive integers such that sm = tn. Define N (s, t; m, n) to be the number of m Γ— n matrices with entries from {0, 1}, such that each row sum is s and each column sum is t. Equivalently, N(s, t; m, n) is the number of labelled semiregular bipartite graphs, where one colour class c