Date of Presentation

10-3-2015

Name of Conference

Mathematical Association of America Upper Peninsula Regional Meeting

Date of Conference

10-2015

Location of Conference

Sault Saint Marie

Document Type

Conference Presentation

Department

Mathematics and Computer Science

Abstract

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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