On the problem of instability in the dimension of a spline space over a T-mesh. - Dmitry Berdinsky; Min-jae Oh; Tae-wan Kim 001; Bernard Mourrain (Comput. Graph., 2012)

On Automatic Transitive Graphs. - Dmitry Berdinsky; Bakhadyr Khoussainov (Developments in Language Theory, 2014)

Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness. - Dmitry Berdinsky; Tae-wan Kim 001; Cesare Bracco; Durkbin Cho; Min-jae Oh; Yeong-Hwa Seo; Sutipong Kiatpanichgij (Comput. Aided Des., 2014)

Bases of T-meshes and the refinement of hierarchical B-splines. - Dmitry Berdinsky; Tae-wan Kim 001; Durkbin Cho; Cesare Bracco; Sutipong Kiatpanichgij (CoRR, 2014)

Dimensions and bases of hierarchical tensor-product splines. - Dmitry Berdinsky; Tae-wan Kim 001; Cesare Bracco; Durkbin Cho; Bernard Mourrain; Min-jae Oh; Sutipong Kiatpanichgij (J. Comput. Appl. Math., 2014)

Cayley Automatic Groups and Numerical Characteristics of Turing Transducers. - Dmitry Berdinsky (DLT, 2016)

Cayley Automatic Representations of Wreath Products. - Dmitry Berdinsky; Bakhadyr Khoussainov (Int. J. Found. Comput. Sci., 2016)

Measuring Closeness Between Cayley Automatic Groups and Automatic Groups. - Dmitry Berdinsky; Phongpitak Trakuldit (LATA, 2018)

Towards quantitative classification of Cayley automatic groups. - Dmitry Berdinsky; Phongpitak Trakuldit (CoRR, 2019)

Nonstandard Cayley Automatic Representations for Fundamental Groups of Torus Bundles over the Circle. - Dmitry Berdinsky; Prohrak Kruengthomya (LATA, 2020)

Nonstandard Cayley automatic representations of fundamental groups. - Dmitry Berdinsky; Prohrak Kruengthomya (CoRR, 2020)

Representing Polynomial Splines over Infinite Hierarchical Meshes by Finite Automata. - Dmitry Berdinsky; Prohrak Kruengthomya (CoRR, 2021)

Cayley polynomial-time computable groups. - Dmitry Berdinsky; Murray Elder; Prohrak Kruengthomya (Inf. Comput., 2022)

On the geometry of Cayley automatic groups. - Dmitry Berdinsky; Murray Elder; Jennifer Taback (Int. J. Algebra Comput., 2022)

String compression in FA-presentable structures. - Dmitry Berdinsky; Sanjay Jain 001; Bakhadyr Khoussainov; Frank Stephan 001 (Theor. Comput. Sci., 2023)