A Multiple Hook Removing Game Whose Starting Position is a Rectangular Young Diagram with Unimodal Numbering
Tomoaki Abuku, Tada, Masato · Zenodo (CERN European Organization for Nuclear Research) · 2023
An impartial combinatorial game based on Young diagrams is introduced which we refer to as ``A multiple hook removing game''. Examples are discussed and Sprague-Grundy values are found for games whose starting positions are rectangular Young diagrams with unimodal numbering. Some isomorphisms are established between certain starting positions, and some results are given for shifted diagrams.