Publications

Conference papers

• Using spectra of numerical characteristics of Latin squares during getting spectra of diagonal Latin squares (in press), Science and education in the development of industrial, social and economic spheres of Russian regions. Murom, 2025
• Construction of the spectra of intercalates number in the Latin squares of orders 18–28 using volunteer distributed computing in the BOINC planform (in press), Recognition 2025
• Construction of heuristic approximations of the spectra of the number of intercalates in diagonal Latin squares of orders 10–25 (in press), National Supercomputing Forum 2024 (NSCF-2024)
• Simulation of Volunteer Computing in a Desktop Grid System (local copy), Russian Supercomputing Days 2024
  This paper was written using statistics gathered in RakeSearch project.
• Diagonalization and Canonization of Latin Squares (local copy), Russian Supercomputing Days 2023
• О числе трансверсалей в диагональных латинских квадратах четных порядков (local copy), Облачные и распределенные вычислительные системы (ОРВС – 2023) в рамках Национального суперкомпьютерного форума (НСКФ — 2023)
• Стратегия распределенной диагонализации латинских квадратов (local copy), Наука и образование в развитии промышленной, социальной и экономической сфер регионов России 2023
• Методы построения спектров быстровычислимых числовых характеристик диагональных латинских квадратов (local copy), Облачные и распределенные вычислительные системы в электронном управлении (ОРВСЭУ – 2022) в рамках Национального суперкомпьютерного форума (НСКФ – 2022)
• Оценка мощностей спектров быстровычислимых числовых характеристик диагональных латинских квадратов порядков N>9 (local copy), Наука и образование в развитии промышленной, социальной и экономической сфер регионов России 2022
• Searching for Orthogonal Latin Squares via Cells Mapping and BOINC-Based Cube-and-Conquer (local copy), Russian Supercomputing Days 2021
• On polynomial reduction of problems based on diagonal Latin squares to the exact cover problem (local copy), Second International Conference Information, Computation, and Control Systems for Distributed Environments 2020 (ICCS-DE 2020)
• Enumerating the Orthogonal Diagonal Latin Squares of Small Order for Different Types of Orthogonality (local copy), Russian Supercomputing Days 2020
• Replication of "Tail" Computations in a Desktop Grid Project (local copy), Russian Supercomputing Days 2020
  This paper was written using statistics gathered in RakeSearch project.
• Start-up and the results of the volunteer computing project RakeSearch (local copy), Russian Supercomputing Days 2019
• On Sharing Workload in Desktop Grids (local copy), Russian Supercomputing Days 2018

Presentations

• Presentation at the conference Distributed Computing and Grid Technologies in Science and Education 2025 (GRID'2025): Modification of the load balancing method in a desktop grid for solving problems of constructing Latin square spectra [En]
• Presentation at the National Supercomputing Forum 2023: О числе трансверсалей в диагональных латинских квадратах четных порядков [Ru]
• Presentation at the National Supercomputing Forum 2022: Методы построения спектров быстровычислимых числовых характеристик диагональных латинских квадратов [Ru]
• Presentation at the conference Russian Supercomputing Days 2019: Start-up and the results of the volunteer computing project RakeSearch [En]
• Presentation at the BOINC Workshop 2018: Petrozavodsk Desktop Grid Community [En]
• Presentation at the conference "Optoelectronic Equipment and Devices in Systems of Pattern Recognition, Image and Symbol Information Processing",
  Recognition-2018: Characterizing orthogonal diagonal Latin squares of order 9 discovered in a distributed computing project [En]
• Presentation at the National Supercomputing Forum 2018: Start-up and first structures of orthogonal diagonal Latin squares discovered in the volunteer computing project RakeSearch [Ru]
• Presentation at the conference BOINC:FAST 2017: ODLS generated by rows permutation [En]
• Presentation at the conference BOINC:FAST 2017: ОДЛК, порождаемые перестановкой строк [Ru]

Sequences in the On-Line Encyclopedia of Integer Sequences® (OEIS®)^*:

• A287644 (The maximal number of transversals in a diagonal Latin square of order N; confirmed)
• A287645 (The minimal number of transversals in a diagonal Latin square of order N; confirmed)
• A287647 (The minimal number of diagonal transversals in a diagonal Latin square of order N; confirmed)
• A287648 (The maximal number of diagonal transversals in a diagonal Latin square of order N; confirmed)
• A287651 (The number of reduced pairs of orthogonal diagonal Latin squares of order N; updated)
• A287695 (The maximal number of normalized diagonal Latin squares that can be orthogonal to the same diagonal Latin square of order N; confirmed)
• A287764 (The number of main classes of diagonal Latin squares of order N; rechecked)
• A307163 (The minimal number of intercalates in a diagonal Latin square of order N; confirmed)
• A307164 (The maximal number of intercalates in a diagonal Latin square of order N; confirmed)
• A309210 (The number of main classes of extended self-orthogonal diagonal Latin squares of order N; updated)
• A329685 (The number of main classes of self-orthogonal diagonal Latin squares of order N; confirmed)
• A330391 (The number of main classes of diagonal Latin squares of order N with at least one orthogonal diagonal mate; updated)
• A333366 (The number of main classes of doubly self-orthogonal diagonal Latin squares of order N; confirmed)
• A338250 (The number of isomorphism classes of pairs of orthogonal diagonal Latin squares of order N; new)
• A339926 (The number of pairs of orthogonal diagonal Latin squares of order N; new)

^*Basing on the experiments performed in RakeSearch project, there were discovered new integer sequences (new), confirmed previously inexact values (confirmed), and independently recalculated known values (rechecked).

©2025 The searchers team, Karelian Research Center of the Russian Academy of Sciences