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Sets of mutually orthogoval projective and affine planes
Charles J. Colbourn, Colin Ingalls, Jonathan Jedwab +3
A pair of planes, both projective or both affine, of the same order and on the same pointset are orthogoval if each line of one plane intersects each line of the other plane in at…
A group-based structure for perfect sequence covering arrays
Jingzhou Na, Jonathan Jedwab, Shuxing Li
An -perfect sequence covering array with multiplicity , denoted PSCA, is a multiset whose elements are permutations of the sequence and which c…
Packings of partial difference sets
Jonathan Jedwab, Shuxing Li
A packing of partial difference sets is a collection of disjoint partial difference sets in a finite group . This configuration has received considerable attention in design the…
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…