### 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 |
---|---|

Title of host publication | Integers |

Subtitle of host publication | 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 |

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Weighted lonesum matrices and their generating function'. Together they form a unique fingerprint.

## Cite this

Kamano, K., Ohno, Y., & Yamamoto, S. (2014). Weighted lonesum matrices and their generating function. In

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