5 citations · 7 across the 7 of their papers we have counts for
10 papers · 1 filter
Basics of DTS quasigroups: algebra, geometry and enumeration
Aleš Drápal, Terry S. Griggs, Andrew R. Kozlik
A directed triple system can be defined as a decomposition of a complete digraph to directed triples . By setting , , and we get…
Flexible Latin directed triple systems
Aleš Drápal, Andrew R. Kozlik, Terry S. Griggs
It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation by the identities and where is…
Properties of Steiner triple systems of order 21
Grahame Erskine, Terry S. Griggs
Properties of the 62,336,617 Steiner triple systems of order 21 with a non-trivial automorphism group are examined. In particular, there are 28 which have no parallel class, six th…
Mutually avoiding Eulerian circuits
Grahame Erskine, Terry Griggs, Robert Lewis +1
Two Eulerian circuits, both starting and ending at the same vertex, are avoiding if at every other point of the circuits they are at least distance 2 apart. An Eulerian graph which…
Good point sequencings of Steiner triple systems
Grahame Erskine, Terry Griggs
An l-good sequencing of a Steiner triple system of order v, STS(v), is a permutation of the points of the system such that no l consecutive points in the permutation contains a blo…
Fragments in symmetric configurations with block size 3
Grahame Erskine, Terry Griggs, Jozef Širáň
We begin the study of collections of three blocks which can occur in a symmetric configuration with block size 3, . Formulae are derived for the number of occurrences of these…