English

Strategy Stealing in Triangle Avoidance Games

Combinatorics 2020-01-29 v1

Abstract

In the game of nSimn-Sim, two players take it in turn to claim unclaimed edges from a complete graph on nn vertices, with the first person to create a triangle in his own edges being the loser. We present some strategy-stealing arguments that show that certain positions are wins for the second player. These are among the only strategy-stealing arguments that are known for mis\`ere games.

Keywords

Cite

@article{arxiv.2001.10116,
  title  = {Strategy Stealing in Triangle Avoidance Games},
  author = {Alexandru Malekshahian},
  journal= {arXiv preprint arXiv:2001.10116},
  year   = {2020}
}

Comments

7 pages, 9 figures

R2 v1 2026-06-23T13:22:25.944Z