@article{Hladysh_Prishlyak_2019, title={Deformations in the general position of the optimal functions on oriented surfaces with boundary}, volume={71}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1495}, abstractNote={UDC 516.91 <br&gt; It is considered simple functions with non-degenerated singularities on smooth compact oriented surfaces with the boundary. Authors describe a connection between optimality and polarity of Morse functions, $m$-functions and $mm$-functions on smooth compact oriented connected surfaces. The concept of an equipped Kronrod – Reeb graph is used to define a deformation in general position. Also, it is obtained the whole list of deformations of simple functions of one of abovedescribed class on torus, 2-dimensional disc with the boundary and on connected sum of two toruses.}, number={8}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Hladysh, B. I. and Prishlyak, O. O.}, year={2019}, month={Aug.}, pages={1028-1039} }