Constructing block designs with a prescribed automorphism group using genetic algorithm

DOI10.1002/jcd.21838zbMath1529.05015OpenAlexW4221113161MaRDI QIDQ6146211

Dean Crnković, Unnamed Author

Publication date: 5 February 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21838

zbMATH Keywords

automorphism groupgenetic algorithmblock designorbit matrix

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Approximation methods and heuristics in mathematical programming (90C59) Group actions on combinatorial structures (05E18)

Cites Work

• Construction of block designs admitting an abelian automorphism group
• Construction of a new symmetric block design for \((78,22,6)\) with the help of tactical decompositions
• The existence of symmetric designs with parameters (189, 48, 12)
• New Steiner 2-designs from old ones by paramodifications
• New symmetric 2-(176,50,14) designs
• A tabu search algorithm for difference triangle sets and Golomb rulers
• Using Directed Hill-Climbing for the Construction of Difference Triangle Sets
• Algorithmic Techniques for the Generation and Analysis of Strongly Regular Graphs and other Combinatorial Configurations
• Some new symmetric designs with parameters (64, 28, 12)
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