Publications
Journal Publications
- C. Krattenthaler, H. Mühle. The Rank Enumeration of Certain Parabolic Non-Crossing Partitions.
In Algebraic Combinatorics 5(3), 437–468. Centre Mersenne, 2022. (pdf, arXiv) - C. Ceballos, H. Mühle. F- and H-Triangles for ν-Associahedra.
In Combinatorial Theory 2(2), Article 3. 2022. (pdf, arXiv) - H. Mühle. Meet-Distributive Lattices have the Intersection Property.
In Mathematica Bohemica, 2022. (pdf, arXiv) - H. Mühle. Hochschild Lattices and Shuffle Lattices.
In European Journal of Combinatorics 103, Article 103521. Elsevier, 2022. (pdf, arXiv) - W. Fang, H. Mühle, J.-C. Novelli. A Consecutive Lehmer Code for Parabolic Quotients of the Symmetric Group.
In The Electronic Journal of Combinatorics 28(3), P3.53. 2021. (pdf, arXiv) - H. Mühle. Noncrossing Arc Diagrams, Tamari Lattices, and Parabolic Quotients of the Symmetric Group.
In Annals of Combinatorics 25, 307–344. Springer, 2021 (pdf, arXiv) - H. Mühle, V. Ripoll. Connectivity Properties of Factorization Posets in Generated Groups.
In Order 37(1), 115–149. Springer, 2020. (pdf, arXiv) - H. Mühle, P. Nadeau, N. Williams. k-Indivisible Noncrossing Partitions.
In Séminaire Lotharingien de Combinatoire 81, Article B81d. 2020. (pdf, arXiv) - C. Ceballos, W. Fang, H. Mühle. The Steep-Bounce Zeta Map in Parabolic Cataland.
In Journal of Combinatorial Theory, Series A 172, Article 105210. Elsevier, 2020. (pdf, arXiv) - H. Mühle, P. Nadeau. A Poset Structure on the Alternating Group Generated by 3-Cycles.
In Algebraic Combinatorics 2(6), 1285–1310. Centre Mersenne, 2019. (pdf, arXiv) - H. Mühle, N. Williams. Tamari Lattices for Parabolic Quotients of the Symmetric Group.
In The Electronic Journal of Combinatorics 26(4), P4.34. 2019. (pdf, arXiv) - H. Mühle. The Core Label Order of a Congruence-Uniform Lattice.
In Algebra Universalis 80:10. Springer, 2019. (pdf, arXiv) - H. Mühle. Two Posets of Noncrossing Partitions Coming From Undesired Parking Spaces.
In Revista Colombiana de Matemáticas 52(1), 65–86. 2018. (pdf, arXiv) - H. Mühle. A Heyting Algebra on Dyck Paths of Type A and B.
In Order 34(2), 327–348. Springer, 2017. (pdf, arXiv) - H. Mühle. Symmetric Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices.
In Journal of Algebraic Combinatorics 45(3), 745–775. Springer, 2017. (pdf, arXiv) - H. Mühle. Trimness of Closed Intervals in Cambrian Semilattices.
In Comptes Rendus – Mathématique 354, 113–120. Elsevier, 2016. (pdf, arXiv) - M. Kallipoliti, H. Mühle. The m-Cover Posets and Their Applications.
In Advances in Applied Mathematics 69, 65–108. Elsevier, 2015. (pdf, arXiv) - H. Mühle. SB-Labelings, Distributivity, and Bruhat Order on Sortable Elements.
In The Electronic Journal of Combinatorics 22(2), P2.40. 2015. (pdf, arXiv) - H. Mühle. EL-Shellability and Noncrossing Partitions Associated with Well-Generated Complex Reflection Groups.
In European Journal of Combinatorics 43(C), 249–278. Elsevier, 2015. (pdf, arXiv) - H. Mühle. Counting Proper Mergings of Chains and Antichains.
In Discrete Mathematics 327(C), 118–129. Elsevier, 2014. (pdf, arXiv) - M. Kallipoliti, H. Mühle. On the Topology of the Cambrian Semilattices.
In The Electronic Journal of Combinatorics 20(2), P48. 2013. (pdf, arXiv)
Conference Publications
- H. Mühle, T. McConville. Shuffle Lattices and Bubble Lattices.
In Proceedings of the 34th International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 86B.63, 2022. (pdf) - W. Fang, H. Mühle, J.-C. Novelli. Parabolic Tamari Lattices in Linear Type B.
In Proceedings of the 34th International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 86B.62, 2022. (pdf) - C. Ceballos, H. Mühle. F- and H-Triangles for ν-Associahedra.
In Proceedings of the 33rd International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 85B.44, 2021. (pdf) - C. Ceballos, W. Fang, H. Mühle. The Steep-Bounce Zeta Map in Parabolic Cataland.
In Proceedings of the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 82B.36, 2019. (pdf) - H. Mühle. Ballot-Noncrossing Partitions.
In Proceedings of the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 82B.7, 2019. (pdf) - H. Mühle, V. Ripoll. Connectivity Properties of Factorization Posets in Generated Groups.
In Proceedings of the 30th International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 80B.56, 2018. (pdf) - H. Mühle. On the Lattice Property of Shard Orders.
In Proceedings of the 30th International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 80B.4, 2018. (pdf) - H. Mühle. Two Posets of Noncrossing Partitions.
In Electronic Notes in Discrete Mathematics 61, 885–891. Elsevier, 2017. (pdf) - H. Mühle, P. Nadeau. The Alternating Group Generated by 3-Cycles (Extended Abstract).
In Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics. Séminaire Lotharingien de Combinatoire 78B.36, 2017. (pdf) - H. Mühle. Symmetric Chain Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices (Extended Abstract).
In Proceedings of the 28th International Conference on Formal Power Series and Algebraic Combinatorics, 923–934. DMTCS, 2016. (pdf) - H. Mühle, N. Williams. Tamari Lattices for Parabolic Quotients of the Symmetric Group (Extended Abstract).
In Proceedings of the 27th International Conference on Formal Power Series and Algebraic Combinatorics, 973–984. DMTCS, 2015. (pdf) - M. Kallipoliti, H. Mühle. The m-Cover Posets and the Strip-Decomposition of m-Dyck Paths (Extended Abstract).
In Proceedings of the 26th International Conference on Formal Power Series and Algebraic Combinatorics, 393–404. DMTCS, 2014. (pdf) - M. Kallipoliti, H. Mühle. On the Topology of the Cambrian Semilattices (Extended Abstract).
In Proceedings of the 25th International Conference on Formal Power Series and Algebraic Combinatorics, 545–556. DMTCS, 2013. (pdf) - H. Mühle. Proper Mergings of Stars and Chains are Counted by Sums of Antidiagonals in Certain Convolution Arrays.
In Proceedings of the 11th International Conference on Formal Concept Analysis, 172–187. Springer, 2013. (pdf, arXiv) - H. Mühle. EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex Reflection Groups (Extended Abstract).
In Proceedings of the 24th International Conference on Formal Power Series and Algebraic Combinatorics, 527–538. DMTCS, 2012. (pdf) - B. Ganter, C. Meschke, H. Mühle. Merging Ordered Sets.
In Proceedings of the 9th International Conference on Formal Concept Analysis, 183–203. Springer, 2011. (pdf) - H. Mühle. Using Bonds for Describing Method Dispatch in Role-Oriented Software Models.
In Proceedings of the 7th International Conference on Concept Lattices and their Applications, 344–349. University of Sevilla, 2010. (pdf) - H. Mühle, C. Wende. Describing Role-Oriented Software Models in Terms of Formal Concept Analysis.
In Proceedings of the 8th International Conference on Formal Concept Analysis, 241–254. Springer, 2010. (pdf)
Preprints
- H. Mühle, E. Tzanaki. Refined Lattice Path Enumeration and Combinatorial Reciprocity.
arXiv:2207.14544, 2022. (arXiv) - T. McConville, H. Mühle. Bubble Lattices I: Structure.
arXiv:2202.02874, 2022 (arXiv) - W. Fang, H. Mühle, J.-C. Novelli. Parabolic Tamari Lattices in Linear Type B.
arXiv:2112.13400, 2021 (arXiv) - H. Mühle. Extremality, Left-Modularity and Semidistributivity.
arXiv:2112.07959, 2021 (arXiv) - C. Ceballos, H. Mühle. Revisiting Generalizations of the Dehn–Sommerville Relations.
arXiv:2108.13145, 2021 (arXiv) - H. Mühle. On the Poset of Multichains.
arXiv:1506.04276, 2015. (arXiv) - H. Mühle. The Topology of the m-Tamari Lattices.
arXiv:1201.2020, 2012. (arXiv) - H. Mühle. Using Bonds for Describing Method Dispatch in Role-Oriented Software Models.
Instituts-Preprint MATH-AL-04-2010, Technische Universität Dresden, 2010. (pdf)