My embedding of K7 on the torus

Results and Publications




  • R. Rajkumar, P. Devi, and A. Gagarin, "Classification of finite groups with toroidal or projective-planar permutability graphs," Communications in Algebra 44 (2016), no. 9, pp. 3705-3726.

  • D. Karapetyan, A. Gagarin, and G. Gutin, "Pattern Backtracking Algorithm for the Workflow Satisfiability Problem," Proc. 9th International Frontiers of Algorithmics Workshop (FAW 2015), J. Wang and C. Yap (Eds.), 2015, LNCS 9130, Springer, pp. 138-149.

  • A. Gagarin and V. Zverovich, "The probabilistic approach to limited packings in graphs," Discrete Appl. Math. 184 (2015) pp. 146-153.

    A. Gagarin and V. Zverovich, "Bounds and algorithms for limited packings in graphs," Proc. 9th International Colloquium on Graph Theory and Combinatorics (ICGT 2014), Grenoble, France, 2014, paper no. 27 (4 pages).

  • D. Cohen, J. Crampton, A. Gagarin, G. Gutin, and M. Jones, "Algorithms for the workflow satisfiability problem engineered for counting constraints," J. Combinatorial Optimization 32 (2016), no. 1, pp. 3-24.

    D. Cohen, J. Crampton, A. Gagarin, G. Gutin, and M. Jones, "Engineering Algorithms for Workflow Satisfiability Problem with User-Independent Constraints," Proc. 8th International Frontiers of Algorithmics Workshop (FAW 2014), J. Chen, J.E. Hopcroft, and J. Wang (Eds.), 2014, LNCS 8497, Springer, pp. 48-59.

  • D. Cohen, J. Crampton, A. Gagarin, G. Gutin, and M. Jones, "Iterative Plan Construction for the Workflow Satisfiability Problem," J. Artificial Intelligence Research 51 (2014), pp. 555-577.

  • A. Gagarin and V. Zverovich, "The bondage number of graphs on topological surfaces and Teschner's conjecture," Discrete Math. 313 (2013), no. 6, pp. 796-808.

  • A. Gagarin, A. Poghosyan, and V. Zverovich, "Randomized algorithms and upper bounds for multiple domination in graphs and networks," Discrete Appl. Math. 161 (2013), no. 4-5, pp. 604-611.

  • A. Gagarin and V. Zverovich, "Upper bounds for the bondage number of graphs on topological surfaces," Discrete Math. 313 (2013), no. 11, pp. 1132-1137.



  • A. Gagarin, A. Poghosyan, and V.E. Zverovich, "Upper bounds for alpha-domination parameters," Graphs Combin. 25 (2009), no. 4, pp. 513-520.

  • A. Gagarin, G. Labelle, P. Leroux, and T. Walsh, "Structure and enumeration of two-connected graphs with prescribed three-connected components," Adv. in Appl. Math. 43 (2009), no. 1, pp. 46-74.

  • A. Gagarin, W. Myrvold, and J. Chambers, "The obstructions for toroidal graphs with no K3,3's," (full paper) Discrete Math. 309 (2009), no. 11, pp. 3625-3631.

    A. Gagarin, W. Myrvold, and J. Chambers, "Forbidden minors and subdivisions for toroidal graphs with no K3,3's," (extended abstract) Electron. Notes Discrete Math. 22 (2005), pp. 151-156.

  • A. Gagarin, "Improved upper bounds for the k-tuple domination number," Australas. J. Combin. 41 (2008), pp. 257-261.

  • A. Gagarin and V.E. Zverovich, "A generalised upper bound for the k-tuple domination number," Discrete Math. 308 (2008), no. 5-6, pp. 880-885.

  • V. Makarenkov, P. Zentilli, D. Kevorkov, A. Gagarin, N. Malo, and R. Nadon, "An efficient method for the detection and elimination of systematic error in high-throughput screening," Bioinformatics 23 (2007), no. 13, pp. 1648-1657 (supplementary materials available on-line).

  • A. Gagarin, G. Labelle, and P. Leroux, "Counting unlabelled toroidal graphs with no K3,3-subdivisions," (full paper) Adv. in Appl. Math. 39 (2007), no. 1, pp. 51-75.

    A. Gagarin, G. Labelle, and P. Leroux, "The structure and unlabelled enumeration of toroidal graphs with no K3,3's," (extended abstract) Electron. Notes Discrete Math. 24 (2006), pp. 69-76.

  • A. Gagarin, G. Labelle, and P. Leroux, "The structure of K3,3-subdivision-free toroidal graphs," Discrete Math. 307 (2007), no. 23, pp. 2993-3005.

  • A. Gagarin, V. Makarenkov, and P. Zentilli, "Using clustering techniques to improve hit selection in high-throughput screening," J. Biomol. Screen. 11 (2006), no. 8, pp. 903-914.

  • V. Makarenkov, D. Kevorkov, P. Zentilli, A. Gagarin, N. Malo, and R. Nadon, "HTS-Corrector : software for the statistical analysis and correction of experimental high-throughput screening data," (applications note) Bioinformatics 22 (2006), no. 11, pp. 1408-1409.




  • A. Gagarin and W. Kocay, "Embedding graphs containing K5-subdivisions," Ars Combin. 64 (2002), pp. 33-49.




  • A.V. Gagarin and I.E. Zverovich, "Hereditary classes of line graphs," Ars Combin. 48 (1998), pp. 161-172.

Theses


  • A. Gagarin, Discrete convexities and the problem of a minimum graph generator, (in French) MSc Thesis, Laboratoire Leibniz, IMAG, National Polytechnic Institute (INPG) and Université Joseph Fourier, Grenoble, France, 1996 (advisors - Pierre Duchet and Charles Payan).

  • A. Gagarin, Line transformations of strongly-hereditary classes of graphs, (in Russian) MSc Thesis, Faculty of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus, 1994 (advisor - Igor E. Zverovich).