### Abstract

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.

Original language | English |
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Title of host publication | Integers: Annual Volume 2013 |

Publisher | Walter de Gruyter GmbH |

Pages | 385-391 |

Number of pages | 7 |

ISBN (Electronic) | 9783110298161 |

ISBN (Print) | 9783110298116 |

DOIs | |

Publication status | Published - 2014 Jan 1 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Integers: Annual Volume 2013*(pp. 385-391). Walter de Gruyter GmbH. https://doi.org/10.1515/9783110298161.385

**Weighted lonesum matrices and their generating function.** / Kamano, Ken; Ohno, Yasuo; Yamamoto, Shuji.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Integers: Annual Volume 2013.*Walter de Gruyter GmbH, pp. 385-391. https://doi.org/10.1515/9783110298161.385

}

TY - CHAP

T1 - Weighted lonesum matrices and their generating function

AU - Kamano, Ken

AU - Ohno, Yasuo

AU - Yamamoto, Shuji

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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UR - http://www.scopus.com/inward/citedby.url?scp=84979164627&partnerID=8YFLogxK

U2 - 10.1515/9783110298161.385

DO - 10.1515/9783110298161.385

M3 - Chapter

AN - SCOPUS:84979164627

SN - 9783110298116

SP - 385

EP - 391

BT - Integers: Annual Volume 2013

PB - Walter de Gruyter GmbH

ER -