On elementary, odd, semimagic and other classes of antilattices

DOI10.1142/s0219498824500129arXiv2112.07593OpenAlexW4296021877MaRDI QIDQ6084815

Michael K. Kinyon, Tomaž Pisanski, Karin Cvetko-Vah

Publication date: 2 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07593

zbMATH Keywords

orthogonal Latin squareseven graphsemimagic squaresantilatticesimple antilatticeelementary antilatticeodd antilattice

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Logical aspects of lattices and related structures (03G10) Additive number theory; partitions (11P99) Generalizations of lattices (06B75)

Cites Work

• Existence of orthogonal Latin squares with aligned subsquares
• ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Noncommutative Lattices: Skew Lattices, Skew Boolean Algebras and Beyond
• Varieties of Bands Revisited
• My journey into noncommutative lattices and their theory
• Regular antilattices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item