Abuku, Tomoaki; Fukui, Masanori; Sakai, Ko; Suetsugu, Koki On a combination of the cyclic Nimhoff and subtraction games. (English) Zbl 1443.91078 Tsukuba J. Math. 43, No. 2, 241-249 (2019). Summary: In this paper, we study a combination (called the generalized cyclic Nimhoff) of the cyclic Nimhoff and subtraction games. We give the \(\mathscr{G} \)-value of the game when all the \(\mathscr{G} \)-value sequences of the component subtraction games have a common \(h\)-stair structure. MSC: 91A46 Combinatorial games Keywords:combinatorial game; impartial game; Nim; Nimhoff; subtraction game PDF BibTeX XML Cite \textit{T. Abuku} et al., Tsukuba J. Math. 43, No. 2, 241--249 (2019; Zbl 1443.91078) Full Text: DOI arXiv Euclid OpenURL