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

2014
[31]Karin Baur and Grégoire Dupont, Compactifying exchange graphs I: Annuli and tubes, Annals of Combinatorics, 18(3), 383–396, (2014). [bibtex] [doi]
[30]Karin Baur, Aslak Bakke Buan and Robert J. Marsh, Torsion pairs and rigid objects in tubes, Algebras and Representation Theory, 17(2), 565-591, (2014). [bibtex] [doi]
2016
[29]Karin Baur, Alastair D. King and Robert J. Marsh, Dimer models and cluster categories of Grassmannians, Proceedings of the London Mathematical Society. Third Series, 113(2), 213–260, (2016). [bibtex] [doi]
[28]Karin Baur, Mark J. Parsons and Manuela Tschabold, Infinite friezes, European Journal of Combinatorics, 54, 220–237, (2016). [bibtex] [doi]
[27]Hannah Vogel, Asymptotic triangulations and cluster algebras, PhD thesis, Karl-Franzens University Graz, (2016). [bibtex] [url]
2017
[26]Oswin Aichholzer, L. Andritsch, Karin Baur and Birgit Vogtenhuber, Perfect $k$-colored matchings and $k+2$-gonal tilings, In Proceedings of the 33rd European Workshop on Computational Geometry (EuroCG), 81–84, (2017). (extended abstract) [bibtex] [pdf]
[25]Karin Baur and Dusko Bogdanic, Extensions between Cohen-Macaulay modules of Grassmannian cluster categories, Journal of Algebraic Combinatorics, 45(4), 965–1000, (2017). [bibtex] [doi]
[24]Emily Gunawan, Gregg Musiker and Hannah Vogel, Infinite friezes of cluster algebras from surfaces, Sém. Lothar. Combin., 78, 76:1–12, (2017). [bibtex] [url]
[23]Jordan McMahon, Higher frieze patterns, (2017). (preprint) [bibtex]
2018
[22]Oswin Aichholzer, L. Andritsch, Karin Baur and Birgit Vogtenhuber, Perfect $k$-Colored Matchings and $(k+2)$-Gonal Tilings, Graphs and Combinatorics, 34(6), 1333–1346, (2018). [bibtex] [doi]
[21]Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko and Gordana Todorov, Mutation of friezes, Bulletin des Sciences Mathématiques, 142, 1–48, (2018). [bibtex] [doi]
[20]Karin Baur and Sira Gratz, Transfinite mutations in the completed infinity-gon, Journal of Combinatorial Theory, 155, 321–359, (2018). [bibtex] [doi]
[19]Karin Baur and Paul P. Martin, The fibres of the Scott map on polygon tilings are the flip equivalence classes, Monatshefte für Mathematik, 187(3), 385–424, (2018). [bibtex] [doi]
[18]Karin Baur and Alireza Nasr-Isfahani, Strongness of companion bases for cluster-tilted algebras of finite type, Proceedings of the American Mathematical Society, 146(6), 2409–2416, (2018). [bibtex] [doi]
[17]Jordan McMahon, Higher support tilting I: higher Auslander algebras of linearly oriented type A, (2018). (preprint) [bibtex]
[16]Jordan McMahon, Quiddity sequences for $\mathrm{SL}_3$-frieze patterns, (2018). (preprint) [bibtex]
[15]Hannah Vogel, Anna Felikson and Pavel Tumarkin, Asymptotic triangulations and Coxeter transformations of the annulus, Glasgow Mathematical Journal, 60(1), 63–96, (2018). [bibtex] [doi]
2019
[14]Oswin Aichholzer, Lukas Andritsch, Karin Baur and Birgit Vogtenhuber, Transformed flips in triangulations and matchings, (2019). (preprint) [bibtex]
[13]Lukas Andritsch, Combinatorial aspects of tilings, PhD thesis, Karl-Franzens University Graz, (2019). [bibtex] [url]
[12]Karin Baur and Raquel Coelho Simöes, A Geometric Model for the Module Category of a Gentle Algebra, International Mathematics Research Notices, (2019). (rnz150) [bibtex] [doi]
[11]Karin Baur, Klemens Fellner, Mark James Parsons and Manuela Tschabold, Growth behaviour of periodic tame friezes, Revista Matemática Iberoamericana, 35(2), 575–606, (2019). [bibtex] [doi]
[10]Karin Baur and Paul P. Martin, A generalised Euler-Poincaré formula for associahedra, Bulletin of the London Mathematical Society, 51(1), 181–192, (2019). [bibtex] [doi]
[9]Jordan McMahon, Higher gentle algebras, (2019). (preprint) [bibtex]
[8]Jordan McMahon, Idempotent Ideals and Higher Auslander-Reiten theory, PhD thesis, Karl-Franzens University Graz, (2019). [bibtex] [url]
2020
[7]Lukas Andritsch, Boundary algebra of a GL$_m$-dimer, Communications in Algebra, 48(6), (2020). [bibtex] [doi]
[6]Lukas Andritsch, A note on friezes of type $\Lambda_4$ and $\Lambda_6$, Discrete Mathematics, 343(7), (2020). [bibtex] [doi]
[5]Karin Baur, Dusko Bogdanic and Ana Garcia Elsener, Cluster categories from Grassmannians and root combinatorics, Nagoya Mathematical Journal, Cambridge University Press, 240, 322–354, (2020). [bibtex] [doi]
[4]Jordan McMahon, Fabric idempotents and higher Auslander-Reiten theory, Journal of Pure and Applied Algebra, 224(8), 106343,1–19, (2020). [bibtex] [doi]
2021
[3]Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko and Gordana Todorov, Friezes satisfying higher SL$_k$-determinants, Algebra &\ Number Theory, 15(1), 29–68, (2021). [bibtex] [doi]
[2]Karin Baur and Sibylle Schroll, Higher extensions for gentle algebras, Bulletin des Sciences Mathématiques, 170, (2021). [bibtex] [doi]
[1]Jordan McMahon and Nicolas J. Williams, The Combinatorics of tensor products of higher Auslander algebras of type $A$, Glasgow Mathematical Journal, 63(3), 526-546, (2021). [bibtex] [doi]