Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 10:
Subdivision in nonlinear geometries

2012
[39]Oliver Ebner, Stochastic Aspects of Refinement Schemes on Metric Spaces, PhD thesis, TU Graz, (2012). [bibtex] [url]
2013
[38]Oliver Ebner, Convergence of iterative schemes in metric spaces, Proceedings of the American Mathematical Society, 141, 677-686, (2013). [bibtex] [doi]
[37]Florian Lehner, Random colorings and automorphism breaking in locally finite graphs, Combinatorics, Probability and Computing, 22(6), 885-909, (2013). [bibtex] [doi]
2014
[36]Johannes Cuno, Wilfried Imrich and Florian Lehner, Distinguishing graphs with infinite motion and nonlinear growth, Ars Mathematica Contemporanea, 7(1), 201-213, (2014). [bibtex] [doi]
[35]Oliver Ebner, Stochastic aspects of nonlinear refinement schemes, SIAM Journal of Numerical Analysis, 52, 717-734, (2014). [bibtex] [doi]
[34]Wilfried Imrich, Rafał Kalinowski and Florian Lehner, Endomorphism breaking in graphs, Electronic Journal of Combinatorics, 21, P1.16, 13pp., (2014). [bibtex] [doi]
[33]Florian Lehner, On spanning tree packings of highly edge connected graphs, Journal of Combinatorial Theory, Series B, 105, 93-126, (2014). [bibtex] [doi]
[32]Florian Lehner, Symmetry breaking in graphs and groups, PhD thesis, Technische Universität Graz, (2014). [bibtex] [url]
[31]Johannes Wallner, On convergent interpolatory subdivision schemes in Riemannian Geometry, Constructive Approximation, 40, 472-486, (2014). [bibtex] [pdf] [doi]
2015
[30]Florian Lehner and Rögnvaldur G. Möller, Local finiteness, distinguishing numbers, and Tucker's conjecture, Electronic Journal of Combinatorics, 22(4), P4.19,1-15, (2015). [bibtex] [doi]
2016
[29]Tetiana Boiko, Johannes Cuno, Wilfried Imrich, Florian Lehner and Christiaan E. van de Woestijne, The Cartesian product of graphs with loops, Ars Mathematica Contemporanea, 11(1), 1-9, (2016). [bibtex] [doi]
[28]Wolfgang Carl, A Laplace Operator on Semi-Discrete Surfaces, Found. Comput. Math., 16(5), 1115–1150, (2016). [bibtex] [pdf] [doi]
[27]Wolfgang Carl, Differential geometric aspects of semidiscrete surfaces, PhD thesis, Technische Universität Graz, (2016). [bibtex] [url]
[26]Wolfgang Carl and Johannes Wallner, Variational Laplacians for semidiscrete surfaces, Advances in Computational Mathematics, 42(6), 1491–1509, (2016). [bibtex] [doi]
[25]Florian Lehner, Pursuit evasion on infinite graphs, Theoretical Computer Science, 655, Part A, 30-40, (2016). [bibtex] [doi]
[24]Florian Lehner, Distinguishing graphs with intermediate growth, Combinatorica, 36, 333-347, (2016). [bibtex] [pdf] [doi]
[23]Caroline Moosmüller, $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds, SIAM Journal on Numerical Analysis, 54(5), 3003–3031, (2016). [bibtex] [pdf] [doi]
2017
[22]Wolfgang Carl, On semidiscrete constant mean curvature surfaces and their associated families, Monatshefte für Mathematik, 182, 537-563, (2017). [bibtex] [doi]
[21]Caroline Moosmüller, Hermite subdivision on manifolds via parallel transport, Adv. Computat. Mathematics, 43, 1059-1074, (2017). [bibtex] [doi]
[20]Caroline Moosmüller, Smoothness analysis of linear and nonlinear Hermite subdivision schemes, PhD thesis, TU Graz, (2017). [bibtex] [url]
2018
[19]Leonardo Alese, Stefan Lendl and Paul Tabatabai, On Sequences covering all rainbow $k$-progressions, Journal of Combinatorics, 9(4), 739-745, (2018). [bibtex] [doi]
[18]Florian Lehner and Christoph Hofer-Temmel, Clique trees of infinite locally finite chordal graphs, Electronic Journal of Combinatorics, 25, (2018). (P2.9) [bibtex] [doi]
2019
[17]Costanza Conti and Svenja Hüning, An algebraic approach to polynomial reproduction of Hermite subdivision schemes, Journal of Computational and Applied Mathematics, 349, 302-315, (2019). [bibtex] [doi]
[16]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing graphs of maximum valence 3, Electronic J. Combinatorics, 26, \#P4.36:1–26, (2019). [bibtex] [doi]
[15]Svenja Hüning, Geometric and algebraic analysis of subdivision processes, PhD thesis, TU Graz, (2019). [bibtex] [url]
[14]Svenja Hüning and Johannes Wallner, Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature, Adv. Comput. Math, 45, 1689-1709, (2019). [bibtex] [doi]
[13]Caroline Moosmüller and Nira Dyn, Increasing the smoothness of vector and Hermite subdivision schemes, IMA J. Num. Analysis, 39, 579-606, (2019). [bibtex] [doi]
2020
[12]Leonardo Alese, Closing curves by rearranging arcs, (2020). (submitted) [bibtex]
[11]Leonardo Alese, Problems on Closed Curves, PhD thesis, TU Graz, (2020). [bibtex] [url]
[10]Svenja Hüning, Polynomial reproduction of Hermite subdivision schemes of any order, Mathematics and Computers in Simulation, 176, 195-205, (2020). [bibtex] [pdf] [doi]
[9]Johannes Wallner, Geometric subdivision and multiscale transforms, Chapter in Handbook of Variational Methods for Nonlinear Geometric Data (Philipp Grohs, Martin Holler, Andreas Weinmann, eds.), Springer, 121-152, (2020). [bibtex] [pdf] [doi]
2021
[8]Leonardo Alese, Propagation of curved folding: The folded annulus with multiple creases exists, Beiträge zur Algebra und Geometrie, (2021). [bibtex] [doi]
[7]Leonardo Alese, Affine subspaces of curvature functions from closed planar curves, Results in Mathematics, 76(2), 70:1-14, (2021). [bibtex] [doi]
[6]Caigui Jiang, Hui Wang, Victor Ceballos Inza, Felix Dellinger, Florian Rist, Johannes Wallner and Helmut Pottmann, Using isometries for computational design and fabrication, ACM Trans. Graph., 40(4), 42:1-12, (2021). [bibtex] [doi]
[5]Caroline Moosmüller, Svenja Hüning and Costanza Conti, Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators, IMA J. Num. Analysis, 41, 2936–2961, (2021). [bibtex] [doi]
[4]Leonardo Alese, Propagation of curved folding: The folded annulus with multiple creases exists, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, (2021). [bibtex] [doi]
2022
[3]Felix Dellinger, Discrete isothermic nets based on checkerboard patterns, (2022). [bibtex]
[2]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing locally finite trees, Electronic J. Combinatorics, (2022). (to appear) [bibtex]
[1]Svenja Hüning and Johannes Wallner, Convergence analysis of subdivision processes on the sphere, IMA J. Num. Analysis, 42(1), 698-711, (2022). [bibtex] [doi]