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About The Resolution of Keller's Conjecture
This document resolves Keller's conjecture by proving that the graphs G7,3, G7,4, and G7,6 do not contain a clique of size 128. The authors encode whether these graphs contain such a clique as a propositional satisfiability problem and apply SAT solvers and symmetry breaking techniques to show the formula is unsatisfiable. This implies that every unit cube tiling of R7 contains a facesharing pair of cubes, resolving Keller's conjecture for dimension 7.
Detailed Information
| Author: | ['a'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 24 |
| Language: | English |
| Format: | |
| Price: | FREE |
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