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Chouinard's Conjecture for Graphical t-Designs
Yeow Meng Chee
A -wise balanced design on the edge set of a complete graph is graphical if its block multiset is invariant under the induced action of the symmetric group on the vertices. Chou…
On -edge-balanced graphs
Yeow Meng Chee
A graph on vertices with edges is -edge-balanced if every graph on vertices with edges is contained in exactly the same number of subgraphs of isomorph…
Constructions of Covering Sequences and Arrays
Yeow Meng Chee, Tuvi Etzion, Hoang Ta +1
An -covering sequence is a cyclic sequence whose consecutive -tuples form a code of length and covering radius . Using several construction methods improvements of…
Pairs in Nested Steiner Quadruple Systems
Yeow Meng Chee, Son Hoang Dau, Tuvi Etzion +2
Motivated by a repair problem for fractional repetition codes in distributed storage, each block of any Steiner quadruple system (SQS) of order is partitioned into two pairs. E…