Large monochromatic components in 3‐edge‐colored Steiner triple systems
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DOI: 10.1002/jcd.21707
Abstract: It is known that in any r‐coloring of the edges of a complete r‐uniform hypergraph, there exists a spanning monochromatic component. Given a Steiner triple system on n vertices, what is the largest monochromatic component… read more here.
Keywords: lower bound; coloring edges; triple systems; steiner triple ... See more keywords
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6)
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DOI: 10.1134/s0032946020010032
Abstract: A Steiner triple system (STS) contains a transversal subdesign TD(3, w ) if its point set has three pairwise disjoint subsets A, B, C of size w and w 2 blocks of the STS intersect… read more here.
Keywords: systems order; steiner triple; triple systems; transversal subdesign ... See more keywords