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タイトル: | A NOTE ON A NEARLY UNIFORM PARTITION INTO COMMON INDEPENDENT SETS OF TWO MATROIDS |
著者: | Fujishige, Satoru Takazawa, Kenjiro Yokoi, Yu |
著者名の別形: | 藤重, 悟 |
キーワード: | Combinatorial optimization matroid common independent sets nearly uniform partition |
発行日: | Jul-2020 |
出版者: | Operations Research Society of Japan |
誌名: | Journal of the Operations Research Society of Japan |
巻: | 63 |
号: | 3 |
開始ページ: | 71 |
終了ページ: | 77 |
抄録: | The present note is a strengthening of a recent paper by K. Takazawa and Y. Yokoi (A generalized-polymatroid approach to disjoint common independent sets in two matroids, Discrete Mathematics (2019)). For given two matroids on E, under the same assumption in their paper to guarantee the existence of a partition of E into k common independent sets of the two matroids, we show that there exists a nearly uniform partition P of E into k common independent sets, where the difference of the cardinalities of any two sets in P is at most one. |
著作権等: | © The Operations Research Society of Japan. Unauthorized reproduction of this article is prohibited. |
URI: | http://hdl.handle.net/2433/253556 |
DOI(出版社版): | 10.15807/jorsj.63.71 |
関連リンク: | http://www.orsj.or.jp/~archive/menu/01_63.html# |
出現コレクション: | 学術雑誌掲載論文等 |
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