Drawing strategies for generalized tic-Tac-Toe (p, q)

Diptarama, Kazuyuki Narisawa, Ayumi Shinohara

研究成果: Conference contribution

1 引用 (Scopus)

抜粋

GTTT(p, q) is an achievement game for polyominoes, which is an extension of Harary's generalized tic-Tac-Toe. Two players alternately put p stones over a board with the exception that the first player Black puts q stones for the first move. The player who first achieves a given polyomino wins the game. Unlike the generalized tic-Tac-Toe, we define winner for polyomino that Black can achieve, loser that White can achieve, and draw that both players cannot achieve in each GTTT(p, q). In this paper we define three classes of polyominoes for GTTT(p, q) and show that any polyomino that satisfies some conditions for each classes is a draw.

元の言語English
ホスト出版物のタイトルProgress in Applied Mathematics in Science and Engineering Proceedings, PIAMSE 2015
編集者Hamzah Asyrani Sulaiman, Mohd Azlishah Othman, Mohamad Zoinol Abidin Abd. Aziz, Mohd Shakir Md Saat, Mai Mariam Mohamed Aminuddin, Abd Majid Darsono, Mohamad Harris Misran
出版者American Institute of Physics Inc.
ISBN(電子版)9780735413528
DOI
出版物ステータスPublished - 2016 2 1
イベント1st Progress in Applied Mathematics in Science and Engineering, PIAMSE 2015 - Bali, Indonesia
継続期間: 2015 9 292015 10 1

出版物シリーズ

名前AIP Conference Proceedings
1705
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

Other

Other1st Progress in Applied Mathematics in Science and Engineering, PIAMSE 2015
Indonesia
Bali
期間15/9/2915/10/1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

フィンガープリント Drawing strategies for generalized tic-Tac-Toe (p, q)' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用

    Diptarama, Narisawa, K., & Shinohara, A. (2016). Drawing strategies for generalized tic-Tac-Toe (p, q). : H. A. Sulaiman, M. A. Othman, M. Z. A. A. Aziz, M. S. M. Saat, M. M. M. Aminuddin, A. M. Darsono, & M. H. Misran (版), Progress in Applied Mathematics in Science and Engineering Proceedings, PIAMSE 2015 [4940269] (AIP Conference Proceedings; 巻数 1705). American Institute of Physics Inc.. https://doi.org/10.1063/1.4940269