Combinatorial Exploration: an Algorithmic Framework for Enumeration

Michael H. Albert, University of Otago, Dunedin, New Zealand. Christian Bean, Keele University, England, United Kingdom. Anders Claesson, University of Iceland, Reykjavik, Iceland. Emile Nadeau, Reykjavik, Iceland. Jay Pantone, Marquette University, Milwaukee, Wisconsin. Henning Ulfarsson, Reykjavik University, Iceland

• Chapters; 1. Introduction; 2. Permutation Patterns; 3. Combinatorial Exploration; 4. Productive Proof Trees and Combinatorial Specifications; 5. Transfer Tools; 6. Applying Combinatorial Exploration to Permutation Patterns; 7. Applying Combinatorial Exploration to Alternating Sign Matrices; 8. Applying Combinatorial Exploration to Polyominoes; 9. Applying Combinatorial Exploration to Pattern-Avoiding Set Partitions;10. Further Algorithmic Considerations; 11. Final Notes