The present paper continues the study (begun by Quattrocchi, Colouring 4-cycle systems with specified block colour pattern: the case of embedding P_3-designs, Electron. J. Combin. 8 (2001)) of 4-cycle systems with specified block colour patterns that are also strict colourings in the sense of Voloshin [Coloring Mixed Hypergraphs: Theory, Algorithms and Applications, American Mathematical Society, Providence RI, 2002]. Here we consider colourings with patterns of size 3 or 4 such that each colour class C induces a P_2-design embedded into the 4-cycle system
On some colouring of 4-cycle systems with specified block colour patterns
LO FARO, Giovanni;
2008-01-01
Abstract
The present paper continues the study (begun by Quattrocchi, Colouring 4-cycle systems with specified block colour pattern: the case of embedding P_3-designs, Electron. J. Combin. 8 (2001)) of 4-cycle systems with specified block colour patterns that are also strict colourings in the sense of Voloshin [Coloring Mixed Hypergraphs: Theory, Algorithms and Applications, American Mathematical Society, Providence RI, 2002]. Here we consider colourings with patterns of size 3 or 4 such that each colour class C induces a P_2-design embedded into the 4-cycle systemFile in questo prodotto:
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