We consider colourings of Steiner systems S(2,3,v) and S(2,4,v) in which blocks have prescribed colour patterns, as a refinement of the classical weak colourings. The main question studied is, given an integer k, does there exist a colouring of given type using exactly k colours? For several types of colourings, a complete answer to this question is obtained while for other types, partial results are presented, We also discuss the question of the existence of uncolourable systems. (C) 2001 Elsevier Science B.V. All rights reserved.
Colouring Steiner systems with specified block colour patterns
MILICI, Salvatore;
2001-01-01
Abstract
We consider colourings of Steiner systems S(2,3,v) and S(2,4,v) in which blocks have prescribed colour patterns, as a refinement of the classical weak colourings. The main question studied is, given an integer k, does there exist a colouring of given type using exactly k colours? For several types of colourings, a complete answer to this question is obtained while for other types, partial results are presented, We also discuss the question of the existence of uncolourable systems. (C) 2001 Elsevier Science B.V. All rights reserved.File in questo prodotto:
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