ON THE EMBEDDING OF GROUPS AND DESIGNS IN A DIFFERENCE BLOCK DESIGN

DOI10.22190/FUMI200322009TzbMath1488.05043OpenAlexW3165430363MaRDI QIDQ5012156

Maryam Tale Masouleh, Henk Koppelaar, Ali Iranmanesh

Publication date: 31 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi200322009t

zbMATH Keywords

Cayley graphbalanced incomplete block designdihedral groupsindependent graphconfiguration orderingsub-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Eulerian and Hamiltonian graphs (05C45) Graph designs and isomorphic decomposition (05C51)

Cites Work

• Ordering block designs. Gray codes, universal cycles and configuration orderings
• On the additivity of block designs
• Complete sets of disjoint difference families and their applications
• Cayley graphs of finite groups
• Embedding Steiner triple systems into Steiner systems \(S(2,4,v)\).
• Coloring planar Toeplitz graphs and the stable set polytope.
• New combinatorial designs and their applications to authentication codes and secret sharing schemes.
• A finite embedding theorem for partial Steiner 3-designs
• Computational Results for Regular Difference Systems of Sets Attaining or Being Close to the Levenshtein Bound
• Perfect difference families, perfect difference matrices, and related combinatorial structures
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
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