### 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

#### Publications 2018

[30] | A note on spectral properties of Hermite subdivision operators, (2018).
[bib] [arXiv] | ,

[29] | Increasing the smoothness of vector and Hermite subdivision schemes, IMA J. Num. Analysis, (2018).
[bib] [arXiv] [doi/article] | ,

[28] | Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators, (2018). (submitted)
[bib] [arXiv] | ,

[27] | Sequences covering all rainbow $k$-progressions, J. Combinatorics, (2018). (to appear)
[bib] [arXiv] | ,

[26] | Distinguishing locally finite trees, (2018). (in preparation)
[bib] | ,

[25] | Level-dependent interpolatory Hermite subdivision schemes and wavelets, (2018).
[bib] [arXiv] | ,

[24] | An algebraic approach to polynomial reproduction of Hermite subdivision schemes, (2018). (submitted)
[bib] [arXiv] | ,

#### Publications 2017

[23] | Smoothness analysis of linear and nonlinear Hermite subdivision schemes, PhD thesis, TU Graz, (2017).
[bib] | ,

[22] | Hermite subdivision on manifolds via parallel transport, Adv. Computat. Mathematics, 43, 1059-1074, (2017).
[bib] [doi/article] | ,

[21] | Distinguishing graphs of maximum valence 3, (2017). (submitted)
[bib] [arXiv] | ,

[20] | Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature, (2017). (submitted)
[bib] [arXiv] | ,

[19] | On semidiscrete constant mean curvature surfaces and their associated families, Monatsh. Math., 182, 537-563, (2017).
[bib] [MR] [doi/article] | ,

#### Publications 2016

[18] | $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds, SIAM J. Numer. Anal., 54(5), 3003—3031, (2016).
[bib] [MR] [doi/article] | ,

[17] | Pursuit evasion on infinite graphcs, Theoretical Computer Science, 655, Part A, 30-40, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[16] | Distinguishing graphs with intermediate growth, Combinatorica, 36, 333-347, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[15] | Variational Laplacians for semidiscrete surfaces, Adv. Comput. Math., 42(6), 1491—1509, (2016).
[bib] [MR] [doi/article] | ,

[14] | Differential geometric aspects of semidiscrete surfaces, PhD thesis, Technische Universität Graz, (2016).
[bib] | ,

[13] | A Laplace Operator on Semi-Discrete Surfaces, Found. Comput. Math., 16(5), 1115—1150, (2016).
[bib] [MR] [doi/article] | ,

[12] | The Cartesian product of graphs with loops, Ars Math. Contemp., 11(1), 1-9, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2015

[11] | Local finiteness, distinguishing numbers, and Tucker's conjecture, Electronic Journal of Combinatorics, 22(4), (2015). (Research paper 19)
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2014

[10] | On convergent interpolatory subdivision schemes in Riemannian Geometry, Constr. Approx., 40, 472-486, (2014).
[bib] [MR] [doi/article] | ,

[9] | Symmetry breaking in graphs and groups, PhD thesis, Technische Universität Graz, (2014).
[bib] [doi/article] | ,

[8] | On spanning tree packings of highly edge connected graphs, Journal of Combinatorial Theory, Series B, 105, 93-126, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[7] | Endomorphism breaking in graphs, Electronic Journal of Combinatorics, 21, P1.16, 13pp., (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[6] | Stochastic aspects of nonlinear refinement schemes, SIAM Journal of Numerical Analysis, 52, 717-734, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[5] | Distinguishing graphs with infinite motion and nonlinear growth, Ars Math. Contemp., 7(1), 201-213, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2013

[4] | Random colorings and automorphism breaking in locally finite graphs, Combinatorics, Probability and Computing, 22(6), 885-909, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[3] | Clique trees of infinite locally finite chordal graphs, (2013). (submitted)
[bib] [arXiv] | ,

[2] | Convergence of iterative schemes in metric spaces, Proceedings of the American Mathematical Society, 141, 677-686, (2013).
[bib] [MR] [doi/article] | ,

#### Publications 2012

[1] | Stochastic Aspects of Refinement Schemes on Metric Spaces, PhD thesis, TU Graz, (2012).
[bib] [doi/article] | ,