Minimum Richness Equilibrium and Sudoku
Mathematical Association of America Upper Peninsula Regional Meeting
2015
- 139Usage
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Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage139
- Downloads125
- Abstract Views14
Conference Paper Description
In the field of theoretical ecology the term "richness" refers to the number of species present in an ecosystem. By reducing the game of Sudoku to the problem of exact four cover (X4C), then reducing X4C to minimum richness equilibrium (MRE), we show that MRE is in NP-complete. We further reduce MRE to minimum weight linear programming (MWLP) to arrive at a simple, polynomial-time decision process that we demonstrate to be a pretty darn good Sudoku solver!
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