We show that, up to an automorphism, there is a unique independent set in PG(5,2) that meet every hyperplane in 4 points or more. Using this result, we show that PG(5,2) is a 5-chromatic STS. Moreover, we construct a 5-chromatic STS(v) for every admissible v ≥ 127
AbstractWe investigate the largest number of colours, called upper chromatic number and denoted X(H)...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
Highly transitive groups We say that a group action is 5-transitive, if for every two 5-tuples of di...
AbstractIt is well known that a Steiner triple system (STS) on v points, an STS(v), can be seen as a...
A set of points in a Steiner triple system $({\rm STS}(v))$ is said to be independent if no three of...
A Steiner triple system, STS(v), is said to be χ-chromatic if the points can be coloured using χ col...
It has been conjectured that every Steiner triple system of order v 6= 7 has chromatic index at most...
Abstract. Hill [6] showed that the largest cap in PG(5, 3) has cardinality 56. Using this cap it is ...
AbstractIt is well known that a Steiner triple system (STS) on v points, an STS(v), can be seen as a...
Properties of the 11 084 874 829 Steiner triple systems of order 19 are examined. In particular, the...
In a Steiner triple system of order v, STS(v), a set of three lines intersecting pairwise in three d...
A Steiner triple system of order v (STS(v)) is called x-chromatic if x is the smallest number of col...
AbstractThe concept of star chromatic number of a graph, introduced by Vince (1988) is a natural gen...
A Steiner triple system (STS(v)) is said to be 3-balanced if every 3-colouring of it is equitable; t...
AbstractWe study the coloring properties of STSs and derive several inequalities for the sizes of th...
AbstractWe investigate the largest number of colours, called upper chromatic number and denoted X(H)...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
Highly transitive groups We say that a group action is 5-transitive, if for every two 5-tuples of di...
AbstractIt is well known that a Steiner triple system (STS) on v points, an STS(v), can be seen as a...
A set of points in a Steiner triple system $({\rm STS}(v))$ is said to be independent if no three of...
A Steiner triple system, STS(v), is said to be χ-chromatic if the points can be coloured using χ col...
It has been conjectured that every Steiner triple system of order v 6= 7 has chromatic index at most...
Abstract. Hill [6] showed that the largest cap in PG(5, 3) has cardinality 56. Using this cap it is ...
AbstractIt is well known that a Steiner triple system (STS) on v points, an STS(v), can be seen as a...
Properties of the 11 084 874 829 Steiner triple systems of order 19 are examined. In particular, the...
In a Steiner triple system of order v, STS(v), a set of three lines intersecting pairwise in three d...
A Steiner triple system of order v (STS(v)) is called x-chromatic if x is the smallest number of col...
AbstractThe concept of star chromatic number of a graph, introduced by Vince (1988) is a natural gen...
A Steiner triple system (STS(v)) is said to be 3-balanced if every 3-colouring of it is equitable; t...
AbstractWe study the coloring properties of STSs and derive several inequalities for the sizes of th...
AbstractWe investigate the largest number of colours, called upper chromatic number and denoted X(H)...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
Highly transitive groups We say that a group action is 5-transitive, if for every two 5-tuples of di...
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