AbstractLet MPT (v, λ) denote a maximum packing of triples of order v and index λ. An MPT (v, λ) is called simple if it contains no repeated triples. It is proved in this paper that for v > 2 and any even λ, the necessary and sufficient condition for the embedding of a simple MPT(v, λ) in a simple MPT(u, λ) is u ⩾ 2v + 1
AbstractThe graph consisting of the four 3-cycles (triples) (x1,x2,x8),(x2,x3,x4),(x4,x5,x6), and (x...
AbstractA triple system of order v+w and index λ embeds a P3-design on v points if there is a subset...
AbstractThe main result of this paper is that any partial triple system (S, B) of index λ on n point...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractIn this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding nece...
In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary an...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIt is well known that for n ≡ 1 or 3 (mod 6), n > 7, it is possible to partition all triples...
Necessary and sufficient conditions are given for the existence of a maximum packing of K with trian...
AbstractIt has been conjectured that any partial triple system of order u and index λ can be embedde...
We construct, for all positive integers u, and v with u less than or equal to v, a decomposition of ...
AbstractThe graph consisting of the four 3-cycles (triples) (x1,x2,x8),(x2,x3,x4),(x4,x5,x6), and (x...
AbstractA triple system of order v+w and index λ embeds a P3-design on v points if there is a subset...
AbstractThe main result of this paper is that any partial triple system (S, B) of index λ on n point...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractIn this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding nece...
In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary an...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIt is well known that for n ≡ 1 or 3 (mod 6), n > 7, it is possible to partition all triples...
Necessary and sufficient conditions are given for the existence of a maximum packing of K with trian...
AbstractIt has been conjectured that any partial triple system of order u and index λ can be embedde...
We construct, for all positive integers u, and v with u less than or equal to v, a decomposition of ...
AbstractThe graph consisting of the four 3-cycles (triples) (x1,x2,x8),(x2,x3,x4),(x4,x5,x6), and (x...
AbstractA triple system of order v+w and index λ embeds a P3-design on v points if there is a subset...
AbstractThe main result of this paper is that any partial triple system (S, B) of index λ on n point...