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math.CO2026
Refutation of the Non-Cancelling Intersections Conjecture
Hermann Wilhelm
The Non-Cancelling Intersections (NCI) conjecture of Amarilli, Monet and Suciu [arXiv:2401.16210] states that the union of a finite family of sets can always be built from its alge…
math.CO2026
The Non-Cancelling-Intersections Conjecture Fails for Left-Linear Trees
Hermann Wilhelm
First formulated by Amarilli, Monet, and Suciu (arXiv:2401.16210, 2024), the Non-Cancelling Intersections (NCI) conjecture is an open problem in combinatorics stating that any set…