Popularity Block Labelling for Steiner Systems

2020 ◽  
Author(s):  
Charles J. Colbourn
Keyword(s):  
Steiner Systems

scholarly journals Finite Geometric Spaces, Steiner Systems and Cooperative Games

2014 ◽  
Vol 22 (1) ◽  
pp. 189-205 ◽  
Author(s):  
Antonio Maturo ◽  
Fabrizio Maturo
Keyword(s):  
Cooperative Games ◽  
Steiner Systems ◽  
Affine Planes

AbstractSome relations between finite geometric spaces and cooperative games are considered. The games associated to Steiner systems, in particular projective and affine planes, are considered. The properties of winning and blocking coalitions are investigated.

Direct Product of Derived Steiner Systems Using Inversive Planes

1981 ◽  
Vol 33 (6) ◽  
pp. 1365-1369 ◽  
Author(s):  
K. T. Phelps
Keyword(s):  
Direct Product ◽  
Triple System ◽  
Steiner Triple System ◽  
Steiner System ◽  
Steiner Systems

A Steiner system S(t, k, v) is a pair (P, B) where P is a v-set and B is a collection of k-subsets of P (usually called blocks) such that every t-subset of P is contained in exactly one block of B. As is well known, associated with each point x ∈ P is a S(t � 1, k � 1, v � 1) defined on the set Px = P\{x} with blocksB(x) = {b\{x}|x ∈ b and b ∈ B}.The Steiner system (Px, B(x)) is said to be derived from (P, B) and is called (obviously) a derived Steiner (t – 1, k – 1)-system. Very little is known about derived Steiner systems despite much effort (cf. [11]). It is not even known whether every Steiner triple system is derived.Steiner systems are closely connected to equational classes of algebras (see [7]) for certain values of k.

scholarly journals Strong Ramsey theorems for Steiner systems

1987 ◽  
Vol 303 (1) ◽  
pp. 183-183 ◽  
Author(s):  
Jaroslav Nešetřil ◽  
Vojtěch R{ödl
Keyword(s):  
Steiner Systems

Homogeneous and ultrahomogeneous Steiner systems

2003 ◽  
Vol 11 (3) ◽  
pp. 153-161
Author(s):  
Alice Devillers
Keyword(s):  
Steiner Systems
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