Large monochromatic components in 3‐edge‐colored Steiner triple systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Combinatorial Designs"
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
Extensions of Steiner Triple Systems
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Combinatorial Designs"
DOI: 10.1002/jcd.21964
Abstract: In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of… read more here.
Keywords: triple systems; extensions steiner; steiner triple;
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6)
Sign Up to like & getrecommendations! Published in 2020 at "Problems of Information Transmission"
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
The Cyclically Resolvable Steiner Triple Systems of Order 57
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13020212
Abstract: A resolution of a Steiner triple system of order v (STS(v)) is point-cyclic if it has an automorphism permuting the points in one cycle. An STS(v) is cyclically resolvable if it has at least one… read more here.
Keywords: resolvable steiner; steiner triple; point cyclic; order ... See more keywords