Colouring 4-cycle systems with equitably coloured blocks

DOI10.1016/j.disc.2003.11.037zbMath1049.05022OpenAlexW2042908802MaRDI QIDQ1876682

Mario Gionfriddo, Gaetano Quattrocchi

Publication date: 20 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2003.11.037

zbMATH Keywords

cyclecolouringchromatic number4-cycle systems

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (8)

Equitable block-colorings of \(C_4\)-decompositions of \(K_v-F\) ⋮ On some colouring of 4-cycle systems with specified block colour patterns ⋮ Equitable specialized block-colourings for 4-cycle systems - II ⋮ Equitable specialized block-colourings for 4-cycle systems-I ⋮ Block colourings of 6-cycle systems ⋮ Intersections among Steiner systemsS(k,k+ 1,v) ⋮ Blocking sets inG-designs andK_3,3- designs ⋮ Local balance in graph decompositions

Cites Work

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• Decomposition of K//(m,n)(K*//(m,n)) into cycles (circuits) of length 2k
• Bicoloring Steiner triple systems
• Upper chromatic number of Steiner triple and quadruple systems
• Strict colouring for classes of Steiner triple systems
• Coloring mixed hypergraphs: theory, algorithms and applications
• Colouring \(4\)-cycle systems with specified block colour patterns: The case of embedding \(P_3\)-designs
• Colouring Steiner systems with specified block colour patterns

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