### 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 12:

Exchange graphs of triangulations

#### Publications 2018

[24] | Asymptotic triangulations and Coxeter transformations of the annulus, Glasg. Math. J., 60(1), 63—96, (2018).
[bib] [MR] [doi/article] | ,

[23] | Fabric idempotent ideals and homological dimensions, preprint, (2018).
[bib] [arXiv] | ,

[22] | Mutation of friezes, Bull. Sci. Math., 142, 1—48, (2018).
[bib] [arXiv] [MR] [doi/article] | ,

[21] | Strongness of companion bases for cluster-tilted algebras of finite type, (2018). (to appear)
[bib] [arXiv] [doi/article] | ,

[20] | Transfinite mutations in the completed infinity-gon, J. Combin. Theory Ser. A, 155, 321—359, (2018).
[bib] [arXiv] [MR] [doi/article] | ,

[19] | Growth behaviour of periodic tame friezes, Revista Matematica Iberoamericana, (2018). (to appear)
[bib] [arXiv] | ,

[18] | A geometric model for the module category of a gentle algebra, (2018). (preprint)
[bib] [arXiv] | ,

[17] | A note on friezes of type $\Lambda_4$ and $\Lambda_6$, (2018). (preprint)
[bib] [arXiv] | ,

[16] | Boundary algebra of a GL$_m$-dimer, (2018). (preprint)
[bib] [arXiv] | ,

[15] | Quiddity sequences for SL$_3$-frieze patterns, (2018). (preprint)
[bib] [arXiv] | ,

#### Publications 2017

[14] | Higher frieze patterns, (2017). (preprint)
[bib] [arXiv] | ,

[13] | Infinite friezes of cluster algebras from surfaces, Sém. Lothar. Combin., 78B, \\,76, 1—12, (2017).
[bib] [arXiv] [MR] [doi/article] | ,

[12] | A generalised Euler-Poincaré formula for associahedra, (2017). (preprint)
[bib] [arXiv] | ,

[11] | Extensions between Cohen-Macaulay modules of Grassmannian cluster categories, J. Algebraic Combin., 45(4), 965—1000, (2017).
[bib] [arXiv] [MR] [doi/article] | ,

[10] | Perfect $k$-colored matchings and $k+2$-gonal tilings, Chapter in Proc. $33^{rd}$ European Workshop on Computational Geometry (EuroCG 2017), Malmö University, 81—84, (2017).
[bib] [doi/article] | ,

#### Publications 2016

[9] | Asymptotic triangulations and cluster algebras, PhD thesis, Karl-Franzens University Graz, (2016).
[bib] [doi/article] | ,

[8] | Explicit construction of companion bases, Glasg. Math. J., 58(2), 357—384, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[7] | Existence of gradings on associative algebras, Comm. Algebra, 44(7), 3069—3076, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[6] | Infinite friezes, European J. Combin., 54, 220—237, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[5] | The fibres of the Scott map on polygon tilings are the flip equivalence classes, (2016).
[bib] [arXiv] | ,

[4] | Dimer models and cluster categories of Grassmannians, Proc. Lond. Math. Soc. (3), 113(2), 213—260, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2014

[3] | Compactifying exchange graphs I: Annuli and tubes, Ann. Comb., 18(3), 383—396, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[2] | Torsion pairs and rigid objects in tubes, Algebr. Represent. Theory, 17(2), 565-591, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2011

[1] | Explicit correlation and basis set superposition error: The structure and energy of carbon dioxide dimer, The Journal of chemical physics, 135, \154309, 1-8, (2011).
[bib] [doi/article] | ,