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
[35]Oliver Ebner, Stochastic Aspects of Refinement Schemes on Metric Spaces, PhD thesis, TU Graz, (2012). [bibtex] [url]
2013
[34]Oliver Ebner, Convergence of iterative schemes in metric spaces, Proceedings of the American Mathematical Society, 141, 677-686, (2013). [bibtex] [pdf] [doi]
[33]Florian Lehner and Christoph Hofer-Temmel, Clique trees of infinite locally finite chordal graphs, Electronic J. Combinatorics, 25, \#P2.9,1-15, (2013). [bibtex] [url]
[32]Florian Lehner, Random colorings and automorphism breaking in locally finite graphs, Combinatorics, Probability and Computing, 22(6), 885-909, (2013). [bibtex] [doi]
2014
[31]Johannes Cuno, Wilfried Imrich and Florian Lehner, Distinguishing graphs with infinite motion and nonlinear growth, Ars Math. Contemp., 7(1), 201-213, (2014). [bibtex] [url]
[30]Oliver Ebner, Stochastic aspects of nonlinear refinement schemes, SIAM Journal of Numerical Analysis, 52, 717-734, (2014). [bibtex] [doi]
[29]Wilfried Imrich, Rafał Kalinowski and Florian Lehner, Endomorphism breaking in graphs, Electronic Journal of Combinatorics, 21, P1.16, 13pp., (2014). [bibtex] [url]
[28]Florian Lehner, On spanning tree packings of highly edge connected graphs, Journal of Combinatorial Theory, Series B, 105, 93-126, (2014). [bibtex] [doi]
[27]Florian Lehner, Symmetry breaking in graphs and groups, PhD thesis, Technische Universität Graz, (2014). [bibtex] [pdf]
[26]Johannes Wallner, On convergent interpolatory subdivision schemes in Riemannian Geometry, Constr. Approx., 40, 472-486, (2014). [bibtex] [pdf] [doi]
2015
[25]Florian Lehner and Rögnvaldur G. Möller, Local finiteness, distinguishing numbers, and Tucker's conjecture, Electronic Journal of Combinatorics, 22(4), (2015). (Research paper 19) [bibtex] [url]
2016
[24]Tetiana Boiko, Johannes Cuno, Wilfried Imrich, Florian Lehner and Christiaan E. van de Woestijne, The Cartesian product of graphs with loops, Ars Math. Contemp., 11(1), 1-9, (2016). [bibtex] [url]
[23]Carl, Wolfgang, A Laplace Operator on Semi-Discrete Surfaces, Found. Comput. Math., 16(5), 1115–1150, (2016). [bibtex] [doi]
[22]Carl, Wolfgang, Differential geometric aspects of semidiscrete surfaces, PhD thesis, Technische Universität Graz, (2016). [bibtex]
[21]Carl, Wolfgang and Wallner, Johannes, Variational Laplacians for semidiscrete surfaces, Adv. Comput. Math., 42(6), 1491–1509, (2016). [bibtex] [pdf] [doi]
[20]Florian Lehner, Distinguishing graphs with intermediate growth, Combinatorica, 36, 333-347, (2016). [bibtex] [pdf] [doi]
[19]Florian Lehner, Pursuit evasion on infinite graphcs, Theoretical Computer Science, 655, Part A, 30-40, (2016). [bibtex] [doi]
[18]Moosmüller, Caroline, $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds, SIAM J. Numer. Anal., 54(5), 3003–3031, (2016). [bibtex] [pdf] [doi]
2017
[17]Wolfgang Carl, On semidiscrete constant mean curvature surfaces and their associated families, Monatsh. Math., 182, 537-563, (2017). [bibtex] [pdf] [doi]
[16]Caroline Moosmüller, Hermite subdivision on manifolds via parallel transport, Adv. Computat. Mathematics, 43, 1059-1074, (2017). [bibtex] [pdf] [doi]
[15]Moosmüller, Caroline, Smoothness analysis of linear and nonlinear Hermite subdivision schemes, PhD thesis, TU Graz, (2017). [bibtex]
2018
[14]Alese, Leonardo, Lendl, Stefan and Tabatabai, Paul, On sequences covering all rainbow $k$-progressions, J. Comb., 9, 739–745, (2018). [bibtex] [doi]
2019
[13]Costanza Conti and Svenja Hüning, An algebraic approach to polynomial reproduction of Hermite subdivision schemes, J. Comput. Appl. Math., 349, 302-315, (2019). [bibtex] [doi]
[12]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]
[11]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]
[10]Svenja Hüning, Geometric and algebraic analysis of subdivision processes, PhD thesis, TU Graz, (2019). [bibtex]
[9]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
[8]Leonardo Alese, Closing curves by rearranging arcs, (2020). (submitted) [bibtex]
[7]Svenja Hüning, Polynomial reproduction of Hermite subdivision schemes of any order, Math. Comput. Simulation, 176, 195-205, (2020). [bibtex] [pdf] [doi]
[6]Svenja Hüning and Johannes Wallner, Convergence analysis of subdivision processes on the sphere, IMA J. Num. Analysis, (2020). (to appear) [bibtex] [pdf] [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, (2020). (to appear) [bibtex] [doi]
[4]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
[3]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]
[2]Leonardo Alese, Affine subspaces of curvature functions from closed planar curves, Results in Mathematics, 76(2), Paper No. 70, 14, (2021). [bibtex] [doi]
[1]Caigui Jiang, Hui Wang, Ceballos Inza, Victor, 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] [pdf] [doi]