Bicolouring Steiner systems \(S\)(2,4,\(v\))

DOI10.1016/j.disc.2003.11.016zbMath1044.05018OpenAlexW2008148950MaRDI QIDQ1827793

Mario Gionfriddo, Lorenzo Milazzo, Vitaly I. Voloshin, Alexander Rosa

Publication date: 6 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2003.11.016

zbMATH Keywords

Steiner systemchromatic numberbicolouring

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (10)

Minimum embedding of STSs into \((K_3+e)\)-systems ⋮ Edge balanced star‐hypergraph designs and vertex colorings of path designs ⋮ Steiner systems and configurations of points ⋮ Mario Gionfriddo and mixed hypergraph coloring ⋮ Chromatic polynomials of mixed hypercycles ⋮ Intersections among Steiner systemsS(k,k+ 1,v) ⋮ Blocking sets inG-designs andK_3,3- designs ⋮ Blocking sets for cycles and paths designs ⋮ On Voloshin colorings in 3-hypergraph designs ⋮ \((2, 2)\)-colourings and clique-free \(\sigma\)-hypergraphs

Cites Work

• The Steiner systems S(2,4,25) with nontrivial automorphism group
• Upper chromatic number of Steiner triple and quadruple systems
• Completing the spectrum of 2-chromatic \(S(2,4,v)\)
• Blocking sets in designs with block size 4
• The complete classification of Steiner systems S(2, 4, 25)
• Colouring Steiner systems with specified block colour patterns
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