Weighted lonesum matrices and their generating function

Ken Kamano, Yasuo Ohno, Shuji Yamamoto

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationIntegers
Subtitle of host publicationAnnual Volume 2013
PublisherWalter de Gruyter GmbH
Pages385-391
Number of pages7
ISBN (Electronic)9783110298161
ISBN (Print)9783110298116
DOIs
Publication statusPublished - 2014 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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  • 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