基盤教育センター

川谷 元

カワタニ ゲン  (Gen Kawatani)

基本情報

所属
上智大学 基盤教育センター データサイエンス領域 特任助教

J-GLOBAL ID
201801012278332213
researchmap会員ID
B000327547

学歴

 3

論文

 7
  • Gen Kawatani
    東京理科大学数学教育研究会数学教育 65(2) 68-83 2023年9月  査読有り招待有り筆頭著者最終著者責任著者
  • Suguru Hiranuma, Gen Kawatani, Naoki Matsumoto
    Asian-European Journal of Mathematics 15(08) 2022年8月  査読有り筆頭著者最終著者
    The domatic number [Formula: see text] of a graph [Formula: see text] is the maximum number of disjoint dominating sets in a dominating set partition of a graph [Formula: see text]. For any graph [Formula: see text], [Formula: see text] where [Formula: see text] is the minimum degree of [Formula: see text], and [Formula: see text] is domatically full if the equality holds, i.e., [Formula: see text]. In this paper, we characterize domatically full Cartesian products of a path of order 2 and a tree of order at least 3. Moreover, we show a characterization of the Cartesian product of a longer path and a tree of order at least 3. By using these results, we also show that for any two trees of order at least 3, the Cartesian product of them is domatically full.
  • Gen Kawatani, Yusuke Suzuki
    Graphs and Combinatorics 36 767-777 2020年1月  査読有り
  • G.Kawatani, K.Ogawa, M.Tsuchiya
    ARS COMBINATORIA (140) 173-182 2018年9月  査読有り筆頭著者
  • Gen Kawatani, Naoki Matsumoto Atsuhiro, Nakamoto Jorge, Urrutia
    68 59-64 2018年  査読有り

MISC

 1

講演・口頭発表等

 28

担当経験のある科目(授業)

 8

所属学協会

 1

社会貢献活動

 3