|Publications||Refereed Journal Papers
Vernitski, A. with M. V. Volkov, ‘The proof and the generalization of Higgins's theorem on divisors of semigroups of order-preserving mappings', Izv. Vyssh. Uchebn. Zaved., Mat. 392 (1995), 38-44 [English translation: Russ. Math. 39(1995), 34-39].
Vernitski, A., ‘Semigroups of order-decreasing graph endomorphisms’, Semigroup Forum 58(1999), 222-240.
Vernitski, A., ‘The finite basis problem for the semigroups of order-preserving mappings’, Proceedings A (Mathematics) of the Royal Society of Edinburgh, 129A(1999), 641-647.
Vernitski, A., ‘Posets and their semigroups of decreasing endomorphisms’, Acta Scientarum Mathematicarum, 65(1999), 77-84.
Vernitski, A. with V. B. Repnitskii, ‘Semigroups of order-preserving mappings’ , Communications in Algebra, 28(2000), 3635-3641.
Vernitski, A., ‘Studying semigroups of mappings using quasi-identities’, Semigroup Forum, 63 (2001), 387-395.
Vernitski, A. with D. McAlister and B. Stephens, ‘Embedding of the symmetric inverse semigroup into a two-generated inverse semigroup’, Proceedings of the Edinburgh Mathematical Society, 45(2002), 1-4.
Vernitski, A., ‘Finite quasivarieties and recursive conditions’, Studia Logica, vol. 78 (2004), 337-348.
Vernitski, A., ‘Can unbreakable mean incomputable?’, The Computer Journal, vol. 49 (2006), 108-112.
Vernitski, A., ‘A generalisation of symmetric inverse semigroups', Semigroup Forum, 75(2007), 417-426.
Vernitski, A., ‘On using the join operation to define classes of algebras', Communications in Algebra, 36(2008), 1088-1096.
Vernitski, A., Ordered and J-trivial semigroups as divisors of semigroups of languages, International Journal of Algebra and Computation, 18(2008) 1223-1229.
Vernitski, A., Inverse subsemigroups and classes of finite aperiodic semigroups, Semigroup Forum, 78 (2009), 486-497.
Vernitski, A., One-side Nielsen transformations in free groups, International Journal of Algebra and Computation, vol. 19 (2009) 855–871.
Vernitski, A., with Z. Juhasz, Filters in (quasiordered) semigroups and lattices of filters, Communications in Algebra, 39 (11), 4319-4335, 2011.
Vernitski, A., with Z. Juhasz, Using filters to describe congruences and band congruences of semigroups, Semigroup Forum, Vol. 83, 2011, pp. 320-334..
Vernitski, A. and Pyatkin, A., Astral graphs (threshold graphs), scale-free graphs and related algorithmic questions, Journal of Discrete Algorithms, 12, 24-28, 2012.
Vernitski, A. and Peng, S. and Nejabati, R. and Escalona, E. and Simeonidou, D. and Anastasopoulos, M. and Georgakilas, K. and Tzanakaki, A., Performance modelling and analysis of dynamic virtual optical network composition, Optical Network Design and Modeling (ONDM), 2012 16th International Conference on, 1-5, 2012.
Refereed Conference Papers
The semigroups of order-preserving mappings: quest for quasi-identities, Proceedings of the Conference on Semigroups and Applications in St. Andrews, 1998, 229-238.
The distance between classes of groupoids and an application to confidentiality (refereed extended abstract, with P. M. Higgins and C. J. Saker), International Algebraic Conference, Ekaterinburg, Russia, 2005.