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5 papers · 2 filters
Periodic Golay pairs of length 72
Dragomir Z. Djokovic, Ilias S. Kotsireas
We construct supplementary difference sets (SDS) with parameters . These SDSs give periodic Golay pairs of length 72. No periodic Golay pair of length 72 was known p…
D-optimal matrices of orders 118, 138, 150, 154 and 174
Dragomir Z. Djokovic, Ilias S. Kotsireas
We construct supplementary difference sets (SDS) with parameters , , , and . These SDSs give D-optimal d…
Charm bracelets and their application to the construction of periodic Golay pairs
Dragomir Z Djokovic, Ilias Kotsireas, Daniel Recoskie +1
A -ary charm bracelet is an equivalence class of length strings with the action on the indices by the additive group of the ring of integers modulo extended by the group…
Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters
Angèle M. Hamel, Ronald C. King
Half turn symmetric alternating sign matrices (HTSASMs) are special variations of the well-known alternating sign matrices which have a long and fascinating history. HTSASMs are in…
On color-critical ()-free graphs
Harjinder S. Dhaliwal, Angèle M. Hamel, Chính T. Hoàng +3
A graph is -critical if it is -chromatic but each of its proper induced subgraphs is ()-colorable. It is known that the number of -critical -free graphs is finit…