| (P1) | O. Kuchaiev and N. Przulj "Global Network Alignment", submitted |
| (P2) | O. Kuchaiev, T. Milenkovic, V. Memisevic, W. Hayes, N. Przulj "Topological network alignment uncovers biological function and phylogeny", Journal of the Roayl Society Interface, March 2010 |
| (P3) | O. Kuchaiev, M. Rasajski, D. J. Higham, and N. Przulj, “Geometric De-noising of Protein-Protein Interaction Networks,”, PLoS Computational Biology, 2009, 5(8): e1000454. doi:10.1371/journal.pcbi.1000454 |
| (P4) | N. Przulj, O. Kuchaiev, A. Stevanovic, W. Hayes, "Geometric Evolutionary Dynamics of Protein Interaction Networks," Proceedings of the 2010 Pacific Symposium on Biocomputing (PSB), Big Island, Hawaii, January 4-8, 2010.
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| (P5) | O. Kuchaiev, P. T. Wang, Z. Nenadic, and N. Przulj, "Structure of Brain Functional Networks," 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC'09), Minneapolis, Minnesota, USA, September 2-6, 2009.
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| (P6) | Oleksii Kuchaiev and Natasa Przulj, "Learning the structure of protein-protein interaction networks," Proceedings of the 2009 Pacific Symposium on Biocomputing (PSB), Big Island, Hawaii, January 5-9, 2009.
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| (P7) | O. Kuchaiev and A.Tsvietkova, "Asymptotic Rays," International Journal of Pure and Applied Mathematics - IJPAM, Volume 56, Issue 3, 2009 |
| (P8) | O. Kuchaiev and I. Protasov, "Coarse Rays," Ukrainian Mathematics Visnik, Volume 5, Issue 2, pages 185-192, 2008 |
| (P9) | O. Kuchaiev and I.V. Protasov, research report “Coarse Rays and Lines,” Forth Summer School in Algebra, Topology and Stochastic Analysis, Lviv-Kozyova, Ukraine. 08/2006 |
| (P10) | O. Kuchaiev and A. Tsvietkova, research report “Asymptotic Rays,”Third Summer School in Algebra&Topology, Lviv-Kozyova, Ukraine. 08/2005 |
| (P11) | G. Kozyrev, O. Kuchaiev, A. Tsvietkova, research report “Around Grasshopper Lemma,” Second Summer School in Algebra&Topology, Liviv-Dolyna, Ukraine. 07/2004 |
| 2008 | Opportunity award: O. Kuchaiev, Po T.Wang ``Understanding brain signal dynamics'', Sponsoring Faculty: Dr. N.Przulj and Dr. Z.Nenadic, UCIrvine Cener for Complex Biological Systems |
| 2007 | ICS Dean’s fellowship, four years of support 2007-2011. Donald Bren School of Information and Computer Science, UC Irvine. 2007-2011 |
| 08/2007 | Microsoft Imagine Cup 2007, Software Design Category. Qualified to the top12 teams in the World. Worldwide finals in Seoul, Korea. |
| 04/2007 | Microsoft Imagine Cup 2007, Software Design Category, 1st place in Ukrainian final |
| 2006 | Microsoft Imagine Cup 2006, Software Design Category, 1st place in Ukrainian final. Participated in the Central and East European finals in Maribor, Slovenia. |
| 04/2001 | 1st place in Ukrainian math competition in Kiev region. Participant in Ukrainian Mathematical Competitions final, Ternopil, Ukraine. |
| 2001 | 3rd place in competition-presentation of works of Junior Academy of Science in mathematics (Kiev region). |
| 2000 | 2nd place in competition-presentation of works of Junior Academy of Science in mathematics (Kiev region). |
| 1999 | 3rd place in Ukrainian math competition, (Kiev region). |