Connect Four and Graph Decomposition
Combinatorics
2013-04-08 v3 Discrete Mathematics
Data Structures and Algorithms
Abstract
We introduce the standard decomposition, a way of decomposing a labeled graph into a sum of certain labeled subgraphs. We motivate this graph-theoretic concept by relating it to Connect Four decompositions of standard sets. We prove that all standard decompositions can be generated in polynomial time, which implies that all Connect Four decompositions can be generated in polynomial time.
Keywords
Cite
@article{arxiv.1210.4367,
title = {Connect Four and Graph Decomposition},
author = {Laurent Evain and Mathias Lederer and Bjarke Hammersholt Roune},
journal= {arXiv preprint arXiv:1210.4367},
year = {2013}
}