English

Misere Hackenbush Flowers

Combinatorics 2013-01-09 v2

Abstract

We show that any disjunctive sum of Hackenbush Flowers GG has as evil twin GG,G+G^* \in {G, G+*} such that the outcomes of GG under normal and mis\`ere play are the same as the outcomes of GG^* under mis\`ere and normal play respectively. We also show that, under mis\`ere play, any Green Hackenbush position that has a single edge incident with the ground is equivalent to a nim-heap.

Cite

@article{arxiv.1212.5937,
  title  = {Misere Hackenbush Flowers},
  author = {Irene Y. Lo},
  journal= {arXiv preprint arXiv:1212.5937},
  year   = {2013}
}
R2 v1 2026-06-21T22:59:49.538Z