Sorting in construction of resolutions of combinatorial designs
Mathematics and Education in Mathematics, Tome 53 (2024), pp. 57-64.

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There are different kinds of sorting algorithms. Each algorithm has its own advantages and disadvantages depending on the data they process. We are interested in the performance of sorting algorithms in the case of construction of resolutions of combinatorial designs. Studying their performance for this special class of problems will give us the opportunity to improve, if possible, the speed of our software for solving similar problems. We use C++ and, for part of our investigations, the computer algebra system GAP. Съществуват много и различни алгоритми за сортиране. Всеки алгоритъм има своите предимства и недостатъци в зависимост от данните, които обработва. Разглеждаме работата на някои алгоритми за сортиране при задачи за конструиране на резолюции на комбинаторни дизайни. Проучването на тяхното представяне, за този специален клас проблеми, ще ни даде възможност да подобрим, ако е възможно, скоростта на нашия софтуер за конструиране на резолюции на комбинаторни дизайни. Използваме C++ и също така, за част от нашите изследвания, системата за компютърна алгебра GAP.
Keywords: sorting, classification algorithm, combinatorial design, design resolution, 68P10, 05-08, 05B25, 05B07, сортиране, класификационен алгоритъм, резолюция на комбинаторен дизайн, 68P10, 05-08, 05B25, 05B07
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Tsvetanova, Antoaneta; Zhelezova, Stela. Sorting in construction of resolutions of combinatorial designs. Mathematics and Education in Mathematics, Tome 53 (2024), pp. 57-64. http://geodesic.mathdoc.fr/item/MEM_2024_53_a12/