The Game of Blocking Pebbles
Combinatorics
2017-12-18 v2 Discrete Mathematics
Abstract
Graph Pebbling is a well-studied single-player game on graphs. We introduce the game of Blocking Pebbles which adapts Graph Pebbling into a two-player strategy game in order to examine it within the context of Combinatorial Game Theory. Positions with game values matching all integers, all nimbers, and many infinitesimals and switches are found.
Cite
@article{arxiv.1712.01173,
title = {The Game of Blocking Pebbles},
author = {Michael Fisher and Craig Tennenhouse},
journal= {arXiv preprint arXiv:1712.01173},
year = {2017}
}
Comments
13 pages, 3 figures