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] Hannah Vogel, Anna Felikson, Pavel Tumarkin, Asymptotic triangulations and Coxeter transformations of the annulus, Glasg. Math. J., 60(1), 63—96, (2018).
[bib] [MR] [doi/article]
[23] Jordan McMahon, Fabric idempotent ideals and homological dimensions, preprint, (2018).
[bib] [arXiv]
[22] Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, Gordana Todorov, Mutation of friezes, Bull. Sci. Math., 142, 1—48, (2018).
[bib] [arXiv] [MR] [doi/article]
[21] Karin Baur, Alireza Nasr-Isfahani, Strongness of companion bases for cluster-tilted algebras of finite type, (2018). (to appear)
[bib] [arXiv] [doi/article]
[20] Karin Baur, Sira Gratz, Transfinite mutations in the completed infinity-gon, J. Combin. Theory Ser. A, 155, 321—359, (2018).
[bib] [arXiv] [MR] [doi/article]
[19] Karin Baur, Klemens Fellner, Mark James Parsons, Manuela Tschabold, Growth behaviour of periodic tame friezes, Revista Matematica Iberoamericana, (2018). (to appear)
[bib] [arXiv]
[18] Karin Baur, Raquel Coelho Simoes, A geometric model for the module category of a gentle algebra, (2018). (preprint)
[bib] [arXiv]
[17] Lukas Andritsch, A note on friezes of type $\Lambda_4$ and $\Lambda_6$, (2018). (preprint)
[bib] [arXiv]
[16] Lukas Andritsch, Boundary algebra of a GL$_m$-dimer, (2018). (preprint)
[bib] [arXiv]
[15] Jordan McMahon, Quiddity sequences for SL$_3$-frieze patterns, (2018). (preprint)
[bib] [arXiv]

Publications 2017

[14] Jordan McMahon, Higher frieze patterns, (2017). (preprint)
[bib] [arXiv]
[13] Emily Gunawan, Gregg Musiker, Hannah Vogel, Infinite friezes of cluster algebras from surfaces, Sém. Lothar. Combin., 78B, \\,76, 1—12, (2017).
[bib] [arXiv] [MR] [doi/article]
[12] Karin Baur, Paul P.\ Martin, A generalised Euler-Poincaré formula for associahedra, (2017). (preprint)
[bib] [arXiv]
[11] Karin Baur, Dusko Bogdanic, Extensions between Cohen-Macaulay modules of Grassmannian cluster categories, J. Algebraic Combin., 45(4), 965—1000, (2017).
[bib] [arXiv] [MR] [doi/article]
[10] O. Aichholzer, L. Andritsch, K. Baur, B. Vogtenhuber, 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] Hannah Vogel, Asymptotic triangulations and cluster algebras, PhD thesis, Karl-Franzens University Graz, (2016).
[bib] [doi/article]
[8] Mark James Parsons, Explicit construction of companion bases, Glasg. Math. J., 58(2), 357—384, (2016).
[bib] [arXiv] [MR] [doi/article]
[7] Dusko Bogdanic, Existence of gradings on associative algebras, Comm. Algebra, 44(7), 3069—3076, (2016).
[bib] [arXiv] [MR] [doi/article]
[6] Karin Baur, Mark J. Parsons, Manuela Tschabold, Infinite friezes, European J. Combin., 54, 220—237, (2016).
[bib] [arXiv] [MR] [doi/article]
[5] Karin Baur, Paul P. Martin, The fibres of the Scott map on polygon tilings are the flip equivalence classes, (2016).
[bib] [arXiv]
[4] Karin Baur, Alastair D. King, Robert J. Marsh, 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] Karin Baur, Grégoire Dupont, Compactifying exchange graphs I: Annuli and tubes, Ann. Comb., 18(3), 383—396, (2014).
[bib] [arXiv] [MR] [doi/article]
[2] Karin Baur, Aslak Bakke Buan, Robert J. Marsh, Torsion pairs and rigid objects in tubes, Algebr. Represent. Theory, 17(2), 565-591, (2014).
[bib] [arXiv] [MR] [doi/article]

Publications 2011

[1] Jordan D. McMahon, Joseph R. Lane, 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]