TY - CHAP
T1 - Weighted lonesum matrices and their generating function
AU - Kamano, Ken
AU - Ohno, Yasuo
AU - Yamamoto, Shuji
N1 - Publisher Copyright:
© 2014 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - A lonesum matrix is a (0, 1)-matrix uniquely determined by its column and row sums, and the sum of its all entries is called the “weight“ of it. The generating function of numbers of weighted lonesum matrices of each weight is given. A certain explicit formula for the number of weighted lonesum matrices is also proved.
AB - A lonesum matrix is a (0, 1)-matrix uniquely determined by its column and row sums, and the sum of its all entries is called the “weight“ of it. The generating function of numbers of weighted lonesum matrices of each weight is given. A certain explicit formula for the number of weighted lonesum matrices is also proved.
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U2 - 10.1515/9783110298161.385
DO - 10.1515/9783110298161.385
M3 - Chapter
AN - SCOPUS:84979164627
SN - 9783110298116
SP - 385
EP - 391
BT - Integers
PB - Walter de Gruyter GmbH
ER -