Results 11 to 20 of about 10,083 (180)

Constructing Mutually Unbiased Bases from Quantum Latin Squares [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science.
Benjamin Musto
doaj   +4 more sources

Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results [PDF]

open access: yesCommentationes Mathematicae Universitatis Carolinae, 2021
We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin squares, comparing and contrasting these with results for embedding partial Latin squares in Latin squares.
D. Donovan, M. Grannell, E. Yazici
semanticscholar   +3 more sources

An estimate of the numbers and density of low-energy structures (or decoys) in the conformational landscape of proteins. [PDF]

open access: yesPLoS ONE, 2009
The conformational energy landscape of a protein, as calculated by known potential energy functions, has several minima, and one of these corresponds to its native structure.
Kanagasabai Vadivel, Gautham Namasivayam
doaj   +2 more sources

Mutually orthogonal latin squares with large holes [PDF]

open access: yesJournal of Statistical Planning and Inference, 2014
Two latin squares are orthogonal if, when they are superimposed, every ordered pair of symbols appears exactly once. This definition extends naturally to ‘incomplete’ latin squares each having a hole on the same rows, columns, and symbols.
P. Dukes, C. M. V. Bommel
semanticscholar   +5 more sources

Transitive Sets of Mutually Orthogonal Latin Squares

open access: yesarXiv.org
We investigate MacNeish's conjecture (known to be false in general) in the setting of what we call"transitive"Mutually Orthogonal Latin Squares (MOLS). When we restrict our attention to"simply transitive"MOLS, we find that the conjecture holds.
Amadou Keita, I. Shapiro
semanticscholar   +3 more sources

Four mutually orthogonal Latin squares of orders 28 and 52

open access: yesJournal of Combinatorial Theory, Series A, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Abel
semanticscholar   +3 more sources

Nonextendibility conditions on mutually orthogonal Latin squares [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
E. T. Parker
semanticscholar   +2 more sources

Partially Balanced 3-Designs using Mutually Orthogonal Latin Squares

open access: yesBhartiya Krishi Anusandhan Patrika, 2022
t-designs represent a generalized class of balanced incomplete block designs in which the number of blocks in which any t treatments (t ≥ 2) occur together is a constant.
Sayantani Karmakar   +4 more
semanticscholar   +1 more source

Construction of Mutually Orthogonal Graph Squares Using Novel Product Techniques

open access: yesJournal of Mathematics, 2022
Sets of mutually orthogonal Latin squares prescribe the order in which to apply different treatments in designing an experiment to permit effective statistical analysis of results, they encode the incidence structure of finite geometries, they ...
A. El-Mesady, Omar Bazighifan
doaj   +1 more source

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