5 papers
A new representation of mutually orthogonal frequency squares
Jonathan Jedwab, Tabriz Popatia
Mutually orthogonal frequency squares (MOFS) of type generalize the structure of mutually orthogonal Latin squares: rather than each of symbols appearing exactly once…
Three-phase Golay sequence and array triads
Aki Ayukawa Avis, Jonathan Jedwab
3-phase Golay sequence and array triads are a natural generalisation of 2-phase Golay sequence pairs, yet their study has until now been largely neglected. We present exhaustive se…
Which graphs occur as -graphs?
Matt DeVos, Adam Dyck, Jonathan Jedwab +1
The -graph of a graph is the graph whose vertices are labelled by the minimum dominating sets of , in which two vertices are adjacent when their corresponding minimum dom…
A new structure for difference matrices over abelian -groups
Koen van Greevenbroek, Jonathan Jedwab
A difference matrix over a group is a discrete structure that is intimately related to many other combinatorial designs, including mutually orthogonal Latin squares, orthogonal arr…
An infinite family of strongly unextendible mutually unbiased bases in
Jonathan Jedwab, Lily Yen
A set of mutually unbiased bases (MUBs) in (for ) comprises vectors in , partitioned into orthogonal bases for such…