2 papers
math.CO2024
A database of constructions of Hadamard matrices
Matteo Cati, Dmitrii V. Pasechnik
Hadamard matrices of order are conjectured to exist whenever is , , or a multiple of ; a similar conjecture exists for skew Hadamard matrices. We provide construct…
cs.DS2024
Decline and Fall of the ICALP 2008 Modular Decomposition algorithm
William Atherton, Dmitrii V. Pasechnik
We provide a counterexample to a crucial lemma in the ICALP 2008 paper "Simpler Linear-Time Modular Decomposition Via Recursive Factorizing Permutations", invalidating the algorith…